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g-factor measurements at RISING: The cases of and

Identifieur interne : 001374 ( Istex/Corpus ); précédent : 001373; suivant : 001375

g-factor measurements at RISING: The cases of and

Auteurs : L. Atanasova ; D. L. Balabanski ; S. K. Chamoli ; M. Hass ; G. S. Simpson ; D. Bazzacco ; F. Becker ; P. Bednarczyk ; G. Benzoni ; N. Blasi ; A. Blazhev ; A. Bracco ; C. Brandau ; L. Caceres ; F. Camera ; F. C. L. Crespi ; P. Detistov ; P. Doornenbal ; C. Fahlander ; E. Farnea ; G. Georgiev ; J. Gerl ; K. A. Gladnishki ; M. Grska ; J. Grebosz ; R. Hoischen ; G. Ilie ; M. Ionescu-Bujor ; A. Iordachescu ; A. Jungclaus ; G. Lo Bianco ; M. Kmiecik ; I. Kojouharov ; N. Kurz ; S. Lakshmi ; R. Lozeva ; A. Maj ; D. Montanari ; G. Neyens ; M. Pftzner ; S. Pietri ; Zs. Podolyk ; W. Prokopowicz ; D. Rudolph ; G. Rusev ; T. R. Saito ; A. Saltarelli ; H. Schaffner ; R. Schwengner ; S. Tashenov ; J. J. Valiente-Dobn ; N. Vermeulen ; J. Walker ; E. Werner-Malento ; O. Wieland ; H. J. Wollersheim ; H. Grawe ; M. Hjorth-Jensen

Source :

RBID : ISTEX:1A2CB42012BFFE508710C619EB0414EE3A8106DC

Abstract

We report on g-factor measurements of the 19/2T1/24.5(3)s isomer in 127Sn and the 10T1/22.69(23)s isomer in 128Sn. These isomers were produced and spin-aligned in relativistic heavy-ion fragmentation at GSI and were selected and separated by the GSI fragment separator (FRS). The -rays of the isomeric decay were detected by the RISING -ray spectrometer. The method of time-differential perturbed angular distributions was utilized. The measured g-factors, g(19/2; 127Sn) 0.17(2) and g(10; 128Sn) 0.20(4), are compared with shell model calculations. The measured g-factors confirm the predominantly h11/2 2 and (s1/2 1h11/22) character of the 10 and 19/2 isomers in 128Sn and 127Sn, respectively. The results demonstrate the feasibility of the method for similar measurements in exotic neutron-rich nuclei.

Url:
DOI: 10.1209/0295-5075/91/42001

Links to Exploration step

ISTEX:1A2CB42012BFFE508710C619EB0414EE3A8106DC

Le document en format XML

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<name sortKey="Blazhev, A" sort="Blazhev, A" uniqKey="Blazhev A" first="A." last="Blazhev">A. Blazhev</name>
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<name sortKey="Bracco, A" sort="Bracco, A" uniqKey="Bracco A" first="A." last="Bracco">A. Bracco</name>
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<name sortKey="Brandau, C" sort="Brandau, C" uniqKey="Brandau C" first="C." last="Brandau">C. Brandau</name>
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<name sortKey="Caceres, L" sort="Caceres, L" uniqKey="Caceres L" first="L." last="Caceres">L. Caceres</name>
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<name sortKey="Crespi, F C L" sort="Crespi, F C L" uniqKey="Crespi F" first="F. C. L." last="Crespi">F. C. L. Crespi</name>
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<name sortKey="Detistov, P" sort="Detistov, P" uniqKey="Detistov P" first="P." last="Detistov">P. Detistov</name>
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<name sortKey="Fahlander, C" sort="Fahlander, C" uniqKey="Fahlander C" first="C." last="Fahlander">C. Fahlander</name>
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<name sortKey="Farnea, E" sort="Farnea, E" uniqKey="Farnea E" first="E." last="Farnea">E. Farnea</name>
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<name sortKey="Georgiev, G" sort="Georgiev, G" uniqKey="Georgiev G" first="G." last="Georgiev">G. Georgiev</name>
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<name sortKey="Gerl, J" sort="Gerl, J" uniqKey="Gerl J" first="J." last="Gerl">J. Gerl</name>
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<mods:affiliation>Faculty of Physics, St. Kliment Ohridski University of Sofia - BG-1164 Sofia, Bulgaria, EU</mods:affiliation>
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<name sortKey="Grska, M" sort="Grska, M" uniqKey="Grska M" first="M." last="Grska">M. Grska</name>
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<name sortKey="Grebosz, J" sort="Grebosz, J" uniqKey="Grebosz J" first="J." last="Grebosz">J. Grebosz</name>
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<mods:affiliation>The Henryk Niewodniczaski Institute of Nuclear Physics, PAN - PL-31342 Krakw, Poland, EU</mods:affiliation>
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<name sortKey="Hoischen, R" sort="Hoischen, R" uniqKey="Hoischen R" first="R." last="Hoischen">R. Hoischen</name>
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<mods:affiliation>Department of Physics, Lund University - S-22100 Lund, Sweden, EU</mods:affiliation>
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<name sortKey="Ilie, G" sort="Ilie, G" uniqKey="Ilie G" first="G." last="Ilie">G. Ilie</name>
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<mods:affiliation>Horia Hulubei National Institute of Physics and Nuclear Engineering - R-077125, Bucharest, Romania, EU</mods:affiliation>
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<name sortKey="Ionescu Bujor, M" sort="Ionescu Bujor, M" uniqKey="Ionescu Bujor M" first="M." last="Ionescu-Bujor">M. Ionescu-Bujor</name>
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<name sortKey="Jungclaus, A" sort="Jungclaus, A" uniqKey="Jungclaus A" first="A." last="Jungclaus">A. Jungclaus</name>
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<mods:affiliation>Instituto de Estructura de la Materia, CSIC - E-28006 Madrid, Spain, EU</mods:affiliation>
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<name sortKey="Lo Bianco, G" sort="Lo Bianco, G" uniqKey="Lo Bianco G" first="G." last="Lo Bianco">G. Lo Bianco</name>
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<name sortKey="Kmiecik, M" sort="Kmiecik, M" uniqKey="Kmiecik M" first="M." last="Kmiecik">M. Kmiecik</name>
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<name sortKey="Kojouharov, I" sort="Kojouharov, I" uniqKey="Kojouharov I" first="I." last="Kojouharov">I. Kojouharov</name>
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<name sortKey="Kurz, N" sort="Kurz, N" uniqKey="Kurz N" first="N." last="Kurz">N. Kurz</name>
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<name sortKey="Lakshmi, S" sort="Lakshmi, S" uniqKey="Lakshmi S" first="S." last="Lakshmi">S. Lakshmi</name>
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<mods:affiliation>Weizmann Institute of Science - Rehovot 76100, Israel</mods:affiliation>
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<name sortKey="Lozeva, R" sort="Lozeva, R" uniqKey="Lozeva R" first="R." last="Lozeva">R. Lozeva</name>
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<mods:affiliation>Instituut voor Kern- en Stralingsfysica, K.U. Leuven - Celestijnenlaan 200D, B-3001 Leuven, Belgium, EU</mods:affiliation>
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<name sortKey="Maj, A" sort="Maj, A" uniqKey="Maj A" first="A." last="Maj">A. Maj</name>
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<mods:affiliation>The Henryk Niewodniczaski Institute of Nuclear Physics, PAN - PL-31342 Krakw, Poland, EU</mods:affiliation>
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<name sortKey="Montanari, D" sort="Montanari, D" uniqKey="Montanari D" first="D." last="Montanari">D. Montanari</name>
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<mods:affiliation>Dipartimento di Fisica, Universit degli Studi di Milano and INFN, Sezione di Milano - I-20133 Milano, Italy, EU</mods:affiliation>
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</author>
<author>
<name sortKey="Neyens, G" sort="Neyens, G" uniqKey="Neyens G" first="G." last="Neyens">G. Neyens</name>
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<mods:affiliation>Instituut voor Kern- en Stralingsfysica, K.U. Leuven - Celestijnenlaan 200D, B-3001 Leuven, Belgium, EU</mods:affiliation>
</affiliation>
</author>
<author>
<name sortKey="Pftzner, M" sort="Pftzner, M" uniqKey="Pftzner M" first="M." last="Pftzner">M. Pftzner</name>
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<mods:affiliation>IEP, Warsaw University - PL-00681 Warsaw, Poland, EU</mods:affiliation>
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<name sortKey="Pietri, S" sort="Pietri, S" uniqKey="Pietri S" first="S." last="Pietri">S. Pietri</name>
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<mods:affiliation>Department of Physics, University of Surrey - Guildford, GU2 7XH, UK, EU</mods:affiliation>
</affiliation>
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<name sortKey="Podolyk, Zs" sort="Podolyk, Zs" uniqKey="Podolyk Z" first="Zs." last="Podolyk">Zs. Podolyk</name>
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<mods:affiliation>Department of Physics, University of Surrey - Guildford, GU2 7XH, UK, EU</mods:affiliation>
</affiliation>
</author>
<author>
<name sortKey="Prokopowicz, W" sort="Prokopowicz, W" uniqKey="Prokopowicz W" first="W." last="Prokopowicz">W. Prokopowicz</name>
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</affiliation>
<affiliation>
<mods:affiliation>The Henryk Niewodniczaski Institute of Nuclear Physics, PAN - PL-31342 Krakw, Poland, EU</mods:affiliation>
</affiliation>
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<name sortKey="Rudolph, D" sort="Rudolph, D" uniqKey="Rudolph D" first="D." last="Rudolph">D. Rudolph</name>
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<mods:affiliation>Department of Physics, Lund University - S-22100 Lund, Sweden, EU</mods:affiliation>
</affiliation>
</author>
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<name sortKey="Rusev, G" sort="Rusev, G" uniqKey="Rusev G" first="G." last="Rusev">G. Rusev</name>
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<mods:affiliation>Institut fr Strahlenphysik, FZ Dresden-Rossendorf - D-01314, Dresden, Germany, EU</mods:affiliation>
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<name sortKey="Saito, T R" sort="Saito, T R" uniqKey="Saito T" first="T. R." last="Saito">T. R. Saito</name>
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<author>
<name sortKey="Saltarelli, A" sort="Saltarelli, A" uniqKey="Saltarelli A" first="A." last="Saltarelli">A. Saltarelli</name>
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</author>
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<name sortKey="Schaffner, H" sort="Schaffner, H" uniqKey="Schaffner H" first="H." last="Schaffner">H. Schaffner</name>
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<mods:affiliation>GSI Helmholtzzentrum fr Schwerionenforschung GmbH - Planckstr. 1, D-64291 Darmstadt, Germany, EU</mods:affiliation>
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<author>
<name sortKey="Schwengner, R" sort="Schwengner, R" uniqKey="Schwengner R" first="R." last="Schwengner">R. Schwengner</name>
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<mods:affiliation>Institut fr Strahlenphysik, FZ Dresden-Rossendorf - D-01314, Dresden, Germany, EU</mods:affiliation>
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<name sortKey="Tashenov, S" sort="Tashenov, S" uniqKey="Tashenov S" first="S." last="Tashenov">S. Tashenov</name>
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<author>
<name sortKey="Valiente Dobn, J J" sort="Valiente Dobn, J J" uniqKey="Valiente Dobn J" first="J. J." last="Valiente-Dobn">J. J. Valiente-Dobn</name>
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<mods:affiliation>INFN - Laboratori Nazionali di Legnaro - I-35020 Legnaro (Padova), Italy, EU</mods:affiliation>
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<author>
<name sortKey="Vermeulen, N" sort="Vermeulen, N" uniqKey="Vermeulen N" first="N." last="Vermeulen">N. Vermeulen</name>
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<mods:affiliation>Instituut voor Kern- en Stralingsfysica, K.U. Leuven - Celestijnenlaan 200D, B-3001 Leuven, Belgium, EU</mods:affiliation>
</affiliation>
</author>
<author>
<name sortKey="Walker, J" sort="Walker, J" uniqKey="Walker J" first="J." last="Walker">J. Walker</name>
<affiliation>
<mods:affiliation>GSI Helmholtzzentrum fr Schwerionenforschung GmbH - Planckstr. 1, D-64291 Darmstadt, Germany, EU</mods:affiliation>
</affiliation>
<affiliation>
<mods:affiliation>Department of Physics, University of Surrey - Guildford, GU2 7XH, UK, EU</mods:affiliation>
</affiliation>
</author>
<author>
<name sortKey="Werner Malento, E" sort="Werner Malento, E" uniqKey="Werner Malento E" first="E." last="Werner-Malento">E. Werner-Malento</name>
<affiliation>
<mods:affiliation>GSI Helmholtzzentrum fr Schwerionenforschung GmbH - Planckstr. 1, D-64291 Darmstadt, Germany, EU</mods:affiliation>
</affiliation>
<affiliation>
<mods:affiliation>IEP, Warsaw University - PL-00681 Warsaw, Poland, EU</mods:affiliation>
</affiliation>
</author>
<author>
<name sortKey="Wieland, O" sort="Wieland, O" uniqKey="Wieland O" first="O." last="Wieland">O. Wieland</name>
<affiliation>
<mods:affiliation>Dipartimento di Fisica, Universit degli Studi di Milano and INFN, Sezione di Milano - I-20133 Milano, Italy, EU</mods:affiliation>
</affiliation>
</author>
<author>
<name sortKey="Wollersheim, H J" sort="Wollersheim, H J" uniqKey="Wollersheim H" first="H. J." last="Wollersheim">H. J. Wollersheim</name>
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<mods:affiliation>GSI Helmholtzzentrum fr Schwerionenforschung GmbH - Planckstr. 1, D-64291 Darmstadt, Germany, EU</mods:affiliation>
</affiliation>
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<author>
<name sortKey="Grawe, H" sort="Grawe, H" uniqKey="Grawe H" first="H." last="Grawe">H. Grawe</name>
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<name sortKey="Hjorth Jensen, M" sort="Hjorth Jensen, M" uniqKey="Hjorth Jensen M" first="M." last="Hjorth-Jensen">M. Hjorth-Jensen</name>
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<title level="a" type="main" xml:lang="en">g-factor measurements at RISING: The cases of and</title>
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<name sortKey="Atanasova, L" sort="Atanasova, L" uniqKey="Atanasova L" first="L." last="Atanasova">L. Atanasova</name>
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<mods:affiliation>E-mail: liliya@inrne.bas.bg</mods:affiliation>
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<author>
<name sortKey="Balabanski, D L" sort="Balabanski, D L" uniqKey="Balabanski D" first="D. L." last="Balabanski">D. L. Balabanski</name>
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</affiliation>
<affiliation>
<mods:affiliation>Physics Division, School of Science and Technology, Universit di Camerino and INFN, Sezione di Perugia I-62032 Camerino (Macerata), Italy, EU</mods:affiliation>
</affiliation>
</author>
<author>
<name sortKey="Chamoli, S K" sort="Chamoli, S K" uniqKey="Chamoli S" first="S. K." last="Chamoli">S. K. Chamoli</name>
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<mods:affiliation>Weizmann Institute of Science - Rehovot 76100, Israel</mods:affiliation>
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</author>
<author>
<name sortKey="Hass, M" sort="Hass, M" uniqKey="Hass M" first="M." last="Hass">M. Hass</name>
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<mods:affiliation>Weizmann Institute of Science - Rehovot 76100, Israel</mods:affiliation>
</affiliation>
</author>
<author>
<name sortKey="Simpson, G S" sort="Simpson, G S" uniqKey="Simpson G" first="G. S." last="Simpson">G. S. Simpson</name>
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<mods:affiliation>LPSC, Universit Joseph Fourier Grenoble 1, CNRS/IN2P3, Institut National Polytechnique de Grenoble F-38026 Grenoble Cedex, France, EU</mods:affiliation>
</affiliation>
</author>
<author>
<name sortKey="Bazzacco, D" sort="Bazzacco, D" uniqKey="Bazzacco D" first="D." last="Bazzacco">D. Bazzacco</name>
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</affiliation>
</author>
<author>
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<name sortKey="Bednarczyk, P" sort="Bednarczyk, P" uniqKey="Bednarczyk P" first="P." last="Bednarczyk">P. Bednarczyk</name>
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<mods:affiliation>The Henryk Niewodniczaski Institute of Nuclear Physics, PAN - PL-31342 Krakw, Poland, EU</mods:affiliation>
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<name sortKey="Benzoni, G" sort="Benzoni, G" uniqKey="Benzoni G" first="G." last="Benzoni">G. Benzoni</name>
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<name sortKey="Blasi, N" sort="Blasi, N" uniqKey="Blasi N" first="N." last="Blasi">N. Blasi</name>
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<author>
<name sortKey="Blazhev, A" sort="Blazhev, A" uniqKey="Blazhev A" first="A." last="Blazhev">A. Blazhev</name>
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<mods:affiliation>IKP, Universitt zu Kln - D-50937, Kln, Germany, EU</mods:affiliation>
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</author>
<author>
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<affiliation>
<mods:affiliation>Department of Physics, University of Surrey - Guildford, GU2 7XH, UK, EU</mods:affiliation>
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</author>
<author>
<name sortKey="Caceres, L" sort="Caceres, L" uniqKey="Caceres L" first="L." last="Caceres">L. Caceres</name>
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<name sortKey="Crespi, F C L" sort="Crespi, F C L" uniqKey="Crespi F" first="F. C. L." last="Crespi">F. C. L. Crespi</name>
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<name sortKey="Detistov, P" sort="Detistov, P" uniqKey="Detistov P" first="P." last="Detistov">P. Detistov</name>
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<name sortKey="Fahlander, C" sort="Fahlander, C" uniqKey="Fahlander C" first="C." last="Fahlander">C. Fahlander</name>
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<mods:affiliation>Department of Physics, Lund University - S-22100 Lund, Sweden, EU</mods:affiliation>
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<author>
<name sortKey="Farnea, E" sort="Farnea, E" uniqKey="Farnea E" first="E." last="Farnea">E. Farnea</name>
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<name sortKey="Georgiev, G" sort="Georgiev, G" uniqKey="Georgiev G" first="G." last="Georgiev">G. Georgiev</name>
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<mods:affiliation>CSNSM, Universit Paris-Sud 11, CNRS/IN2P3 - F-91405 Orsay-Campus, France, EU</mods:affiliation>
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<name sortKey="Gladnishki, K A" sort="Gladnishki, K A" uniqKey="Gladnishki K" first="K. A." last="Gladnishki">K. A. Gladnishki</name>
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<affiliation>
<mods:affiliation>Faculty of Physics, St. Kliment Ohridski University of Sofia - BG-1164 Sofia, Bulgaria, EU</mods:affiliation>
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<name sortKey="Grska, M" sort="Grska, M" uniqKey="Grska M" first="M." last="Grska">M. Grska</name>
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<affiliation>
<mods:affiliation>The Henryk Niewodniczaski Institute of Nuclear Physics, PAN - PL-31342 Krakw, Poland, EU</mods:affiliation>
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<name sortKey="Hoischen, R" sort="Hoischen, R" uniqKey="Hoischen R" first="R." last="Hoischen">R. Hoischen</name>
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<name sortKey="Ilie, G" sort="Ilie, G" uniqKey="Ilie G" first="G." last="Ilie">G. Ilie</name>
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<affiliation>
<mods:affiliation>Horia Hulubei National Institute of Physics and Nuclear Engineering - R-077125, Bucharest, Romania, EU</mods:affiliation>
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<name sortKey="Ionescu Bujor, M" sort="Ionescu Bujor, M" uniqKey="Ionescu Bujor M" first="M." last="Ionescu-Bujor">M. Ionescu-Bujor</name>
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<name sortKey="Iordachescu, A" sort="Iordachescu, A" uniqKey="Iordachescu A" first="A." last="Iordachescu">A. Iordachescu</name>
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<mods:affiliation>Instituto de Estructura de la Materia, CSIC - E-28006 Madrid, Spain, EU</mods:affiliation>
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<name sortKey="Lo Bianco, G" sort="Lo Bianco, G" uniqKey="Lo Bianco G" first="G." last="Lo Bianco">G. Lo Bianco</name>
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<name sortKey="Kmiecik, M" sort="Kmiecik, M" uniqKey="Kmiecik M" first="M." last="Kmiecik">M. Kmiecik</name>
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<name sortKey="Maj, A" sort="Maj, A" uniqKey="Maj A" first="A." last="Maj">A. Maj</name>
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<name sortKey="Montanari, D" sort="Montanari, D" uniqKey="Montanari D" first="D." last="Montanari">D. Montanari</name>
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<name sortKey="Neyens, G" sort="Neyens, G" uniqKey="Neyens G" first="G." last="Neyens">G. Neyens</name>
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<name sortKey="Pftzner, M" sort="Pftzner, M" uniqKey="Pftzner M" first="M." last="Pftzner">M. Pftzner</name>
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<name sortKey="Pietri, S" sort="Pietri, S" uniqKey="Pietri S" first="S." last="Pietri">S. Pietri</name>
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<name sortKey="Podolyk, Zs" sort="Podolyk, Zs" uniqKey="Podolyk Z" first="Zs." last="Podolyk">Zs. Podolyk</name>
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<name sortKey="Prokopowicz, W" sort="Prokopowicz, W" uniqKey="Prokopowicz W" first="W." last="Prokopowicz">W. Prokopowicz</name>
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<name sortKey="Rudolph, D" sort="Rudolph, D" uniqKey="Rudolph D" first="D." last="Rudolph">D. Rudolph</name>
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<mods:affiliation>Department of Physics, Lund University - S-22100 Lund, Sweden, EU</mods:affiliation>
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<name sortKey="Rusev, G" sort="Rusev, G" uniqKey="Rusev G" first="G." last="Rusev">G. Rusev</name>
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<mods:affiliation>Institut fr Strahlenphysik, FZ Dresden-Rossendorf - D-01314, Dresden, Germany, EU</mods:affiliation>
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<name sortKey="Saito, T R" sort="Saito, T R" uniqKey="Saito T" first="T. R." last="Saito">T. R. Saito</name>
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<name sortKey="Saltarelli, A" sort="Saltarelli, A" uniqKey="Saltarelli A" first="A." last="Saltarelli">A. Saltarelli</name>
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<mods:affiliation>Institut fr Strahlenphysik, FZ Dresden-Rossendorf - D-01314, Dresden, Germany, EU</mods:affiliation>
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<name sortKey="Tashenov, S" sort="Tashenov, S" uniqKey="Tashenov S" first="S." last="Tashenov">S. Tashenov</name>
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<name sortKey="Valiente Dobn, J J" sort="Valiente Dobn, J J" uniqKey="Valiente Dobn J" first="J. J." last="Valiente-Dobn">J. J. Valiente-Dobn</name>
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<mods:affiliation>INFN - Laboratori Nazionali di Legnaro - I-35020 Legnaro (Padova), Italy, EU</mods:affiliation>
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<name sortKey="Vermeulen, N" sort="Vermeulen, N" uniqKey="Vermeulen N" first="N." last="Vermeulen">N. Vermeulen</name>
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</author>
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<name sortKey="Walker, J" sort="Walker, J" uniqKey="Walker J" first="J." last="Walker">J. Walker</name>
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<affiliation>
<mods:affiliation>Department of Physics, University of Surrey - Guildford, GU2 7XH, UK, EU</mods:affiliation>
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<name sortKey="Werner Malento, E" sort="Werner Malento, E" uniqKey="Werner Malento E" first="E." last="Werner-Malento">E. Werner-Malento</name>
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<name sortKey="Wieland, O" sort="Wieland, O" uniqKey="Wieland O" first="O." last="Wieland">O. Wieland</name>
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<name sortKey="Wollersheim, H J" sort="Wollersheim, H J" uniqKey="Wollersheim H" first="H. J." last="Wollersheim">H. J. Wollersheim</name>
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<name sortKey="Grawe, H" sort="Grawe, H" uniqKey="Grawe H" first="H." last="Grawe">H. Grawe</name>
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<mods:affiliation>GSI Helmholtzzentrum fr Schwerionenforschung GmbH - Planckstr. 1, D-64291 Darmstadt, Germany, EU</mods:affiliation>
</affiliation>
</author>
<author>
<name sortKey="Hjorth Jensen, M" sort="Hjorth Jensen, M" uniqKey="Hjorth Jensen M" first="M." last="Hjorth-Jensen">M. Hjorth-Jensen</name>
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<title level="j">Europhysics Letters</title>
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<div type="abstract">We report on g-factor measurements of the 19/2T1/24.5(3)s isomer in 127Sn and the 10T1/22.69(23)s isomer in 128Sn. These isomers were produced and spin-aligned in relativistic heavy-ion fragmentation at GSI and were selected and separated by the GSI fragment separator (FRS). The -rays of the isomeric decay were detected by the RISING -ray spectrometer. The method of time-differential perturbed angular distributions was utilized. The measured g-factors, g(19/2; 127Sn) 0.17(2) and g(10; 128Sn) 0.20(4), are compared with shell model calculations. The measured g-factors confirm the predominantly h11/2 2 and (s1/2 1h11/22) character of the 10 and 19/2 isomers in 128Sn and 127Sn, respectively. The results demonstrate the feasibility of the method for similar measurements in exotic neutron-rich nuclei.</div>
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<abstract>We report on g-factor measurements of the 19/2T1/24.5(3)s isomer in 127Sn and the 10T1/22.69(23)s isomer in 128Sn. These isomers were produced and spin-aligned in relativistic heavy-ion fragmentation at GSI and were selected and separated by the GSI fragment separator (FRS). The -rays of the isomeric decay were detected by the RISING -ray spectrometer. The method of time-differential perturbed angular distributions was utilized. The measured g-factors, g(19/2; 127Sn) 0.17(2) and g(10; 128Sn) 0.20(4), are compared with shell model calculations. The measured g-factors confirm the predominantly h11/2 2 and (s1/2 1h11/22) character of the 10 and 19/2 isomers in 128Sn and 127Sn, respectively. The results demonstrate the feasibility of the method for similar measurements in exotic neutron-rich nuclei.</abstract>
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<title level="j">Europhysics Letters</title>
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<p>We report on g-factor measurements of the 19/2T1/24.5(3)s isomer in 127Sn and the 10T1/22.69(23)s isomer in 128Sn. These isomers were produced and spin-aligned in relativistic heavy-ion fragmentation at GSI and were selected and separated by the GSI fragment separator (FRS). The -rays of the isomeric decay were detected by the RISING -ray spectrometer. The method of time-differential perturbed angular distributions was utilized. The measured g-factors, g(19/2; 127Sn) 0.17(2) and g(10; 128Sn) 0.20(4), are compared with shell model calculations. The measured g-factors confirm the predominantly h11/2 2 and (s1/2 1h11/22) character of the 10 and 19/2 isomers in 128Sn and 127Sn, respectively. The results demonstrate the feasibility of the method for similar measurements in exotic neutron-rich nuclei.</p>
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<header>
<title-group>
<title>
<italic>g</italic>
-factor measurements at RISING: The cases of
<inline-eqn></inline-eqn>
and
<inline-eqn></inline-eqn>
</title>
<short-title>
<italic>g</italic>
-factor measurements at RISING</short-title>
<ej-title>g-factor measurements at RISING</ej-title>
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<author-group>
<author address="epl12905ad1" email="epl12905ea1">
<first-names>L.</first-names>
<second-name>Atanasova</second-name>
</author>
<author address="epl12905ad1" second-address="epl12905ad2">
<first-names>D. L.</first-names>
<second-name>Balabanski</second-name>
</author>
<author address="epl12905ad3">
<first-names>S. K.</first-names>
<second-name>Chamoli</second-name>
</author>
<author address="epl12905ad3">
<first-names>M.</first-names>
<second-name>Hass</second-name>
</author>
<author address="epl12905ad4">
<first-names>G. S.</first-names>
<second-name>Simpson</second-name>
</author>
<author address="epl12905ad5">
<first-names>D.</first-names>
<second-name>Bazzacco</second-name>
</author>
<author address="epl12905ad6">
<first-names>F.</first-names>
<second-name>Becker</second-name>
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<first-names>P.</first-names>
<second-name>Bednarczyk</second-name>
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<first-names>G.</first-names>
<second-name>Benzoni</second-name>
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<first-names>N.</first-names>
<second-name>Blasi</second-name>
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<first-names>A.</first-names>
<second-name>Blazhev</second-name>
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<first-names>A.</first-names>
<second-name>Bracco</second-name>
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<second-name>Brandau</second-name>
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<second-name>Caceres</second-name>
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<first-names>F.</first-names>
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<second-name>Crespi</second-name>
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<second-name>Detistov</second-name>
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<first-names>P.</first-names>
<second-name>Doornenbal</second-name>
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<first-names>C.</first-names>
<second-name>Fahlander</second-name>
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<author address="epl12905ad5">
<first-names>E.</first-names>
<second-name>Farnea</second-name>
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<author address="epl12905ad12">
<first-names>G.</first-names>
<second-name>Georgiev</second-name>
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<author address="epl12905ad6">
<first-names>J.</first-names>
<second-name>Gerl</second-name>
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<first-names>K. A.</first-names>
<second-name>Gladnishki</second-name>
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<first-names>M.</first-names>
<second-name>Górska</second-name>
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<first-names>J.</first-names>
<second-name>Grebosz</second-name>
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<first-names>R.</first-names>
<second-name>Hoischen</second-name>
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<first-names>G.</first-names>
<second-name>Ilie</second-name>
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<author address="epl12905ad14">
<first-names>M.</first-names>
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<first-names>A.</first-names>
<second-name>Iordachescu</second-name>
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<first-names>A.</first-names>
<second-name>Jungclaus</second-name>
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<first-names>G.</first-names>
<second-name>Lo Bianco</second-name>
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<first-names>M.</first-names>
<second-name>Kmiecik</second-name>
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<first-names>I.</first-names>
<second-name>Kojouharov</second-name>
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<first-names>N.</first-names>
<second-name>Kurz</second-name>
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<first-names>S.</first-names>
<second-name>Lakshmi</second-name>
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<first-names>R.</first-names>
<second-name>Lozeva</second-name>
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<first-names>A.</first-names>
<second-name>Maj</second-name>
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<author address="epl12905ad8">
<first-names>D.</first-names>
<second-name>Montanari</second-name>
</author>
<author address="epl12905ad16">
<first-names>G.</first-names>
<second-name>Neyens</second-name>
</author>
<author address="epl12905ad17">
<first-names>M.</first-names>
<second-name>Pfützner</second-name>
</author>
<author address="epl12905ad10">
<first-names>S.</first-names>
<second-name>Pietri</second-name>
</author>
<author address="epl12905ad10">
<first-names>Zs.</first-names>
<second-name>Podolyák</second-name>
</author>
<author address="epl12905ad6" second-address="epl12905ad7">
<first-names>W.</first-names>
<second-name>Prokopowicz</second-name>
</author>
<author address="epl12905ad11">
<first-names>D.</first-names>
<second-name>Rudolph</second-name>
</author>
<author address="epl12905ad18">
<first-names>G.</first-names>
<second-name>Rusev</second-name>
</author>
<author address="epl12905ad6">
<first-names>T. R.</first-names>
<second-name>Saito</second-name>
</author>
<author address="epl12905ad2">
<first-names>A.</first-names>
<second-name>Saltarelli</second-name>
</author>
<author address="epl12905ad6">
<first-names>H.</first-names>
<second-name>Schaffner</second-name>
</author>
<author address="epl12905ad18">
<first-names>R.</first-names>
<second-name>Schwengner</second-name>
</author>
<author address="epl12905ad6">
<first-names>S.</first-names>
<second-name>Tashenov</second-name>
</author>
<author address="epl12905ad19">
<first-names>J. J.</first-names>
<second-name>Valiente-Dobón</second-name>
</author>
<author address="epl12905ad16">
<first-names>N.</first-names>
<second-name>Vermeulen</second-name>
</author>
<author address="epl12905ad6" second-address="epl12905ad10">
<first-names>J.</first-names>
<second-name>Walker</second-name>
</author>
<author address="epl12905ad6" second-address="epl12905ad17">
<first-names>E.</first-names>
<second-name>Werner-Malento</second-name>
</author>
<author address="epl12905ad8">
<first-names>O.</first-names>
<second-name>Wieland</second-name>
</author>
<author address="epl12905ad6">
<first-names>H. J.</first-names>
<second-name>Wollersheim</second-name>
</author>
<author address="epl12905ad6">
<first-names>H.</first-names>
<second-name>Grawe</second-name>
</author>
<author address="epl12905ad20">
<first-names>M.</first-names>
<second-name>Hjorth-Jensen</second-name>
</author>
<short-author-list>L. Atanasova
<italic>et al</italic>
</short-author-list>
</author-group>
<address-group>
<address id="epl12905ad1" showid="yes">
<orgname>Institute for Nuclear Research and Nuclear Energy</orgname>
, Bulgarian Academy of Sciences - BG-1784 Sofia,
<country>Bulgaria</country>
, EU</address>
<address id="epl12905ad2" showid="yes">Physics Division, School of Science and Technology,
<orgname>Università di Camerino and INFN</orgname>
, Sezione di Perugia I-62032 Camerino (Macerata),
<country>Italy</country>
, EU</address>
<address id="epl12905ad3" showid="yes">
<orgname>Weizmann Institute of Science</orgname>
- Rehovot 76100,
<country>Israel</country>
</address>
<address id="epl12905ad4" showid="yes">LPSC,
<orgname>Université Joseph Fourier Grenoble 1</orgname>
, CNRS/IN2P3, Institut National Polytechnique de Grenoble F-38026 Grenoble Cedex,
<country>France</country>
, EU</address>
<address id="epl12905ad5" showid="yes">Dipartimento di Fisica,
<orgname>Università di Padova and INFN</orgname>
, Sezione di Padova - I-35131 Padova,
<country>Italy</country>
, EU</address>
<address id="epl12905ad6" showid="yes">
<orgname>GSI Helmholtzzentrum für Schwerionenforschung GmbH</orgname>
- Planckstr. 1, D-64291 Darmstadt,
<country>Germany</country>
, EU</address>
<address id="epl12905ad7" showid="yes">
<orgname>The Henryk Niewodniczański Institute of Nuclear Physics</orgname>
, PAN - PL-31342 Kraków,
<country>Poland</country>
, EU</address>
<address id="epl12905ad8" showid="yes">Dipartimento di Fisica,
<orgname>Università degli Studi di Milano and INFN</orgname>
, Sezione di Milano - I-20133 Milano,
<country>Italy</country>
, EU</address>
<address id="epl12905ad9" showid="yes">IKP,
<orgname>Universität zu Köln</orgname>
- D-50937, Köln,
<country>Germany</country>
, EU</address>
<address id="epl12905ad10" showid="yes">Department of Physics,
<orgname>University of Surrey</orgname>
- Guildford, GU2 7XH,
<country>UK</country>
, EU</address>
<address id="epl12905ad11" showid="yes">Department of Physics,
<orgname>Lund University</orgname>
- S-22100 Lund,
<country>Sweden</country>
, EU</address>
<address id="epl12905ad12" showid="yes">CSNSM,
<orgname>Université Paris-Sud 11</orgname>
, CNRS/IN2P3 - F-91405 Orsay-Campus,
<country>France</country>
, EU</address>
<address id="epl12905ad13" showid="yes">Faculty of Physics,
<orgname>St. Kliment Ohridski University of Sofia</orgname>
- BG-1164 Sofia,
<country>Bulgaria</country>
, EU</address>
<address id="epl12905ad14" showid="yes">
<orgname>Horia Hulubei National Institute of Physics and Nuclear Engineering</orgname>
- R-077125, Bucharest,
<country>Romania</country>
, EU</address>
<address id="epl12905ad15" showid="yes">
<orgname>Instituto de Estructura de la Materia</orgname>
, CSIC - E-28006 Madrid,
<country>Spain</country>
, EU</address>
<address id="epl12905ad16" showid="yes">
<orgname>Instituut voor Kern- en Stralingsfysica</orgname>
, K.U. Leuven - Celestijnenlaan 200D, B-3001 Leuven,
<country>Belgium</country>
, EU</address>
<address id="epl12905ad17" showid="yes">IEP,
<orgname>Warsaw University</orgname>
- PL-00681 Warsaw,
<country>Poland</country>
, EU</address>
<address id="epl12905ad18" showid="yes">
<orgname>Institut für Strahlenphysik</orgname>
, FZ Dresden-Rossendorf - D-01314, Dresden,
<country>Germany</country>
, EU</address>
<address id="epl12905ad19" showid="yes">
<orgname>INFN - Laboratori Nazionali di Legnaro</orgname>
- I-35020 Legnaro (Padova),
<country>Italy</country>
, EU</address>
<address id="epl12905ad20" showid="yes">Department of Physics and Centre of Mathematics for Applications,
<orgname>University of Oslo</orgname>
- N-0316 Oslo,
<country>Norway</country>
</address>
<e-address id="epl12905ea1">
<email mailto="liliya@inrne.bas.bg">liliya@inrne.bas.bg</email>
</e-address>
</address-group>
<history received="6 June 2010" accepted="10 August 2010" online="3 September 2010"></history>
<abstract-group>
<abstract>
<heading>Abstract</heading>
<p indent="no">We report on
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factor measurements of the
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
<inline-eqn>
<math-text>
<italic>T</italic>
<sub>1/2</sub>
=4.5(3) μ
<upright>s</upright>
</math-text>
</inline-eqn>
isomer in
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
and the
<inline-eqn>
<math-text>10
<sup>+</sup>
</math-text>
</inline-eqn>
<inline-eqn>
<math-text>
<italic>T</italic>
<sub>1/2</sub>
=2.69(23) μ
<upright>s</upright>
</math-text>
</inline-eqn>
isomer in
<inline-eqn>
<math-text>
<sup>128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
. These isomers were produced and spin-aligned in relativistic heavy-ion fragmentation at GSI and were selected and separated by the GSI fragment separator (FRS). The
<inline-eqn>
<math-text>γ</math-text>
</inline-eqn>
-rays of the isomeric decay were detected by the RISING
<inline-eqn>
<math-text>γ</math-text>
</inline-eqn>
-ray spectrometer. The method of time-differential perturbed angular distributions was utilized. The measured
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors,
<inline-eqn>
<math-text>
<italic>g</italic>
(19/2
<sup>+</sup>
</math-text>
</inline-eqn>
;
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
)=− 0.17(2)</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>
<italic>g</italic>
(10
<sup>+</sup>
</math-text>
</inline-eqn>
;
<inline-eqn>
<math-text>
<sup>128</sup>
<upright>Sn</upright>
)=− 0.20(4)</math-text>
</inline-eqn>
, are compared with shell model calculations. The measured
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors confirm the predominantly
<inline-eqn>
<math-text>ν
<italic>h</italic>
<sub>11/2</sub>
<sup>− 2</sup>
</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>ν(
<italic>s</italic>
<sub>1/2</sub>
<sup>− 1</sup>
<italic>h</italic>
<sub>11/2</sub>
<sup>−2</sup>
)</math-text>
</inline-eqn>
character of the
<inline-eqn>
<math-text>10
<sup>+</sup>
</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>19/2
<sup></sup>
</math-text>
</inline-eqn>
isomers in
<inline-eqn>
<math-text>
<sup>128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
, respectively. The results demonstrate the feasibility of the method for similar measurements in exotic neutron-rich nuclei.</p>
</abstract>
</abstract-group>
<classifications>
<class-codes scheme="pacs">
<code>21.10.Ky</code>
<code>21.60.Cs</code>
<code>25.70.Mn</code>
</class-codes>
</classifications>
</header>
<body refstyle="numeric">
<sec-level1 id="epl12905s1">
<heading>Introduction</heading>
<p indent="no">Nuclei in the vicinity of closed proton and neutron shells exhibit simple single-particle excitation spectra, with rather pure wave functions. This is due to the fact that there are only few levels close to the Fermi surface and configuration mixing effects, resulting from particle-hole excitations across the shell gaps, are suppressed to a great extent [
<cite linkend="epl12905bib1">1</cite>
]. However, the nuclear shell model traditionally was established and critically tested for nuclei close to the region of stability. It is, therefore, important for a further understanding of the nuclear shell structure to study nuclei in the vicinity of closed proton and neutron shells away from the valley of
<inline-eqn>
<math-text>β</math-text>
</inline-eqn>
-stability, such as
<inline-eqn>
<math-text>
<sup>132</sup>
<sub>50</sub>
<upright>Sn</upright>
<sub>82</sub>
</math-text>
</inline-eqn>
or
<inline-eqn>
<math-text>
<sup>78</sup>
<sub>28</sub>
<upright>Ni</upright>
<sub>50</sub>
</math-text>
</inline-eqn>
.</p>
<p>Nuclear
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors play a special role in such a quest since they provide information about the configuration of the states of interest. In particular, in the vicinity of doubly magic nuclei, they shed light on the purity of the nuclear wave function, reflecting the stability of nuclear shells.</p>
<p>A possibility to investigate neutron-rich nuclei is provided by projectile fragmentation. So far, such reactions were utilized for studies of isomeric moments in nuclei with
<inline-eqn>
<math-text>
<italic>A</italic>
⩽70</math-text>
</inline-eqn>
 [
<cite linkend="epl12905bib2" range="epl12905bib2,epl12905bib3,epl12905bib4,epl12905bib5,epl12905bib6,epl12905bib7">2–7</cite>
]. The spin-orientation of the isomeric ensemble is produced in the reaction itself. To preserve as much alignment as possible only fully stripped nuclei are selected during the flight through a separator. In such a way perturbation effects, due to the hyperfine interaction with the randomly oriented electron spin, are avoided. Within the RISING (Rare ISotope INvestigations @ GSI)
<inline-eqn>
<math-text>γ</math-text>
</inline-eqn>
array project [
<cite linkend="epl12905bib8">8</cite>
]
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factor measurements of heavier nuclei were performed [
<cite linkend="epl12905bib9">9</cite>
], taking advantage of the relativistic beams at GSI.</p>
<p>The cases under study are microsecond isomers in the neutron-rich Sn isotopes, which have a magic number of protons
<inline-eqn>
<math-text>
<italic>Z</italic>
=50</math-text>
</inline-eqn>
. The structure of Sn isotopes in the vicinity of
<inline-eqn>
<math-text>
<sup>132</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
with neutron numbers
<inline-eqn>
<math-text>
<italic>N</italic>
<82</math-text>
</inline-eqn>
is governed by neutron hole configurations in the negative-parity
<inline-eqn>
<math-text>1
<italic>h</italic>
<sub>11/2</sub>
</math-text>
</inline-eqn>
and the positive-parity
<inline-eqn>
<math-text>2
<italic>d</italic>
<sub>3/2</sub>
</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>3
<italic>s</italic>
<sub>1/2</sub>
</math-text>
</inline-eqn>
orbitals. Microsecond isomers are known in the spectra of the even-
<inline-eqn>
<math-text>
<italic>A</italic>
</math-text>
</inline-eqn>
and odd-
<inline-eqn>
<math-text>
<italic>A</italic>
</math-text>
</inline-eqn>
Sn isotopes with
<inline-eqn>
<math-text>
<italic>N</italic>
<82</math-text>
</inline-eqn>
, correspondingly [
<cite linkend="epl12905bib10">10</cite>
]. The
<inline-eqn>
<math-text>10
<sup>+</sup>
</math-text>
</inline-eqn>
microsecond isomers with a leading configuration of
<inline-eqn>
<math-text>ν1
<italic>h</italic>
<sub>11/2</sub>
<sup>−2</sup>
</math-text>
</inline-eqn>
and seniority
<inline-eqn>
<math-text>ν=2</math-text>
</inline-eqn>
are observed experimentally in the Sn isotopes in the mass range
<inline-eqn>
<math-text>
<italic>A</italic>
=116</math-text>
</inline-eqn>
–130 [
<cite linkend="epl12905bib10">10</cite>
]. Three quasiparticle
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
isomers were observed for the odd-
<inline-eqn>
<math-text>
<italic>A</italic>
</math-text>
</inline-eqn>
Sn nuclei with masses between
<inline-eqn>
<math-text>
<italic>A</italic>
=119</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>
<italic>A</italic>
=129</math-text>
</inline-eqn>
 [
<cite linkend="epl12905bib10">10</cite>
]. The
<inline-eqn>
<math-text>ν(3
<italic>s</italic>
<sub>1/2</sub>
<sup>−1</sup>
1
<italic>h</italic>
<sub>11/2</sub>
<sup>−2</sup>
)
<sub>19/2
<sup>+</sup>
</sub>
</math-text>
</inline-eqn>
configuration was assigned to them [
<cite linkend="epl12905bib11">11</cite>
].</p>
<p>This paper reports a measurement of the
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors of the
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
isomer with
<inline-eqn>
<math-text>
<italic>T</italic>
<sub>1/2</sub>
=4.5(3) μ
<upright>s</upright>
</math-text>
</inline-eqn>
in
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
 [
<cite linkend="epl12905bib11">11</cite>
] and the
<inline-eqn>
<math-text>10
<sup>+</sup>
</math-text>
</inline-eqn>
isomer with
<inline-eqn>
<math-text>
<italic>T</italic>
<sub>1/2</sub>
=2.69(23) μ
<upright>s</upright>
</math-text>
</inline-eqn>
in
<inline-eqn>
<math-text>
<sup>128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
 [
<cite linkend="epl12905bib12">12</cite>
] and addresses the ensuing shell model interpretation. Preliminary results for
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
were published in conference proceedings [
<cite linkend="epl12905bib13">13</cite>
,
<cite linkend="epl12905bib14">14</cite>
].</p>
</sec-level1>
<sec-level1 id="epl12905s2">
<heading>Experimental technique and results</heading>
<p indent="no">Neutron-rich nuclei around
<inline-eqn>
<math-text>
<italic>A</italic>
≈130</math-text>
</inline-eqn>
were produced and spin-oriented in relativistic projectile fragmentation of a
<inline-eqn>
<math-text>
<sup>136</sup>
</math-text>
</inline-eqn>
Xe beam at
<inline-eqn>
<math-text>
<italic>E</italic>
/
<italic>A</italic>
=600 
<upright>MeV</upright>
/
<italic>A</italic>
</math-text>
</inline-eqn>
on a
<inline-eqn>
<math-text>1024 
<upright>mg</upright>
/
<upright>cm</upright>
<sup>2</sup>
</math-text>
</inline-eqn>
Be production target. The primary beam was provided by the GSI heavy-ion synchrotron (SIS) with an average intensity of about
<inline-eqn>
<math-text>10
<sup>8</sup>
<upright>ions</upright>
/
<upright>s</upright>
</math-text>
</inline-eqn>
(
<inline-eqn>
<math-text>2·10
<sup>9</sup>
</math-text>
</inline-eqn>
ions per 10 s spill with a 18 s repetition period). The fully stripped ions were separated and identified with the two-stage high-resolution magnetic zero-degree FRagment Separator (FRS) [
<cite linkend="epl12905bib15">15</cite>
], which was operated in the standard achromatic mode.</p>
<p>A schematic view of the experimental set-up is shown in fig. 
<figref linkend="epl12905fig1">1</figref>
. The fragment selection was optimized for
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
. The nuclei of interest were tracked and identified on an event-by-event basis. The mass-to-charge ratio,
<inline-eqn>
<math-text>
<italic>A</italic>
/
<italic>q</italic>
</math-text>
</inline-eqn>
, was determined by measuring the time of flight with scintillator detectors Sc21 and Sc41 (see fig. 
<figref linkend="epl12905fig1">1</figref>
) and the magnetic rigidity of the beam,
<inline-eqn>
<math-text>
<italic>B</italic>
ρ</math-text>
</inline-eqn>
. Since the Sn isotopes of interest have
<inline-eqn>
<math-text>
<italic>A</italic>
/
<italic>q</italic>
</math-text>
</inline-eqn>
values rather close to the primary beam, it was necessary to introduce slits at the S2 position of the FRS in order to cut the primary beam and to optimize the load of the position-sensitive scintillator Sc21, limiting its rate to below
<inline-eqn>
<math-text>10
<sup>6</sup>
<upright>ions</upright>
/
<upright>s</upright>
</math-text>
</inline-eqn>
. The ionic charge,
<inline-eqn>
<math-text>
<italic>Z</italic>
</math-text>
</inline-eqn>
, was determined by the energy loss in the MUlti-Sampling Ionization Chamber (MUSIC) at the final focus, S4. A typical identification plot of the ions which reach the final focus of the FRS, in the present experiment, is shown in fig. 
<figref linkend="epl12905fig2">2</figref>
(a).</p>
<figure id="epl12905fig1" parts="single" width="page" position="float" pageposition="top" printstyle="normal" orientation="port">
<graphic position="indented">
<graphic-file version="print" format="EPS" width="38.9pc" printcolour="no" filename="images/epl12905fig1.eps"></graphic-file>
<graphic-file version="ej" format="JPEG" printcolour="no" filename="images/epl12905fig1.jpg"></graphic-file>
</graphic>
<caption type="figure" id="epl12905fc1" label="Figure 1">
<p indent="no">Schematic view of the experimental set-up (see text): the fragment separator (FRS) with the beam-tracking detectors, the RISING
<inline-eqn>
<math-text>γ</math-text>
</inline-eqn>
-ray detectors (A–D) and (G–L), the electromagnet and the implantation detectors.</p>
</caption>
</figure>
<figure id="epl12905fig2" parts="single" width="column" position="float" pageposition="top" printstyle="normal" orientation="port">
<graphic position="indented">
<graphic-file version="print" format="EPS" width="18.8pc" printcolour="no" filename="images/epl12905fig2.eps"></graphic-file>
<graphic-file version="ej" format="JPEG" printcolour="no" filename="images/epl12905fig2.jpg"></graphic-file>
</graphic>
<caption type="figure" id="epl12905fc2" label="Figure 2">
<p indent="no">(a) Ion identification plot. The spots corresponding to different isotopes are labelled with the isotope notation; (b) longitudinal momentum distribution for
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
; (c) longitudinal momentum distribution for
<inline-eqn>
<math-text>
<sup>128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
. The momentum distribution is measured with Sc21. The vertical lines in (b) and (c) indicate the momentum selection, which was used in the data analysis.</p>
</caption>
</figure>
<p>The isomeric ensemble produced in the projectile fragmentation reaction is spin-oriented, provided that only a specific part of the longitudinal momentum distribution is selected, with prolate alignment at the center and oblate alignment at the wing [
<cite linkend="epl12905bib2">2</cite>
]. The momentum distribution of the fragments was measured by the position-sensitive scintillator detector Sc21 at the second focal plane of FRS (see fig.  
<figref linkend="epl12905fig1">1</figref>
). The momentum distributions for
<inline-eqn>
<math-text>
<sup>127, 128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
, which were measured with the FRS setting of the experiment, are presented in fig. 
<figref linkend="epl12905fig2">2</figref>
(b), (c). An asymmetric S2 slit was used in order to suppress the primary beam. It cuts also parts of the momentum distribution for
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
(the left wing and part of the center) and
<inline-eqn>
<math-text>
<sup>128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
(the leftmost wing and the right wing).</p>
<p>The selected ions were implanted in a high-purity (99.998%) 2 mm annealed copper plate, fixed to a thick plastic degrader to guarantee that the ions of interest are stopped in the Cu [
<cite linkend="epl12905bib9">9</cite>
]. The Sc42 and Sc43 detectors were used for control of the implantation. The isomeric
<inline-eqn>
<math-text>γ</math-text>
</inline-eqn>
-rays were measured with eight cluster Ge detectors, mounted in the horizontal plane. They were placed at angles of
<inline-eqn>
<math-text>±45
<sup>°</sup>
</math-text>
</inline-eqn>
,
<inline-eqn>
<math-text>±75
<sup>°</sup>
</math-text>
</inline-eqn>
,
<inline-eqn>
<math-text>±105
<sup>°</sup>
</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>±135
<sup>°</sup>
</math-text>
</inline-eqn>
with respect to the beam direction. Each cluster detector consists of seven tapered Ge crystals, mounted in a common cryostat [
<cite linkend="epl12905bib16">16</cite>
]. The total
<inline-eqn>
<math-text>γ</math-text>
</inline-eqn>
-ray efficiency of the set-up is about 2% at 1 MeV. Ion-
<inline-eqn>
<math-text>γ</math-text>
</inline-eqn>
coincidences between the ions identified with the FRS beam-tracking detectors and the isomeric
<inline-eqn>
<math-text>γ</math-text>
</inline-eqn>
-rays were used as trigger of the data acquisition system in the experiment. The data analysis was done with the
<inline-eqn>
<math-text>
<upright>SPY</upright>
/
<upright>CRACOW</upright>
</math-text>
</inline-eqn>
 [
<cite linkend="epl12905bib17">17</cite>
] and ROOT [
<cite linkend="epl12905bib18">18</cite>
] software. Transitions belonging to the isomeric decay of
<inline-eqn>
<math-text>
<sup>127, 128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
can be clearly identified in the
<inline-eqn>
<math-text>γ</math-text>
</inline-eqn>
-ray spectrum in fig. 
<figref linkend="epl12905fig3">3</figref>
. The rapid drop of intensity below 150 keV is due to absorbers that were mounted in front of the Ge detectors in order to suppress the prompt bremsstrahlung flash. Partial level schemes, revealing the isomeric decay of
<inline-eqn>
<math-text>
<sup>127, 128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
, are presented in fig. 
<figref linkend="epl12905fig3">3</figref>
(a), (c). Note that the spin-parity assignments in
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
are based on the similarity with the level schemes for the lighter Sn isotopes and theoretical calculations [
<cite linkend="epl12905bib11">11</cite>
].</p>
<figure id="epl12905fig3" parts="single" width="column" position="float" pageposition="top" printstyle="normal" orientation="port">
<graphic position="indented">
<graphic-file version="print" format="EPS" width="20.8pc" printcolour="no" filename="images/epl12905fig3.eps"></graphic-file>
<graphic-file version="ej" format="JPEG" printcolour="no" filename="images/epl12905fig3.jpg"></graphic-file>
</graphic>
<caption type="figure" id="epl12905fc3" label="Figure 3">
<p indent="no">(a) Partial level scheme of
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
showing the decay of
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
isomer. (b) Energy spectrum for
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>
<sup>128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
gated on the identification plot. The labelled transitions belong to the decay of the
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
isomer in
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>10
<sup>+</sup>
</math-text>
</inline-eqn>
isomer in
<inline-eqn>
<math-text>
<sup>128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
. Unlabled transitions are due to different interactions of the beam with the set-up materials and natural radioactivity. (c) Partial level scheme of
<inline-eqn>
<math-text>
<sup>128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
showing the decay of
<inline-eqn>
<math-text>10
<sup>+</sup>
</math-text>
</inline-eqn>
isomer.</p>
</caption>
</figure>
<p>The method of the time-differential perturbed angular distribution (TDPAD) [
<cite linkend="epl12905bib4">4</cite>
,
<cite linkend="epl12905bib19">19</cite>
] was used for the determination of the
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors of the isomers in
<inline-eqn>
<math-text>
<sup>127, 128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
. The spin-oriented isomeric ensemble was implanted in a Cu cubic lattice host. It was placed between the poles of an electromagnet that generated a constant magnetic field
<inline-eqn></inline-eqn>
in a vertical direction,
<inline-eqn>
<math-text>
<italic>B</italic>
=0.1200(3) 
<upright>T</upright>
</math-text>
</inline-eqn>
. As a result, the isomeric spin ensemble precesses around the magnetic field with a Larmor frequency
<inline-eqn>
<math-text>ω
<sub>
<italic>L</italic>
</sub>
=−
<italic>gB</italic>
μ
<sub>
<italic>N</italic>
</sub>
/ℏ</math-text>
</inline-eqn>
, which depends on the value of the magnetic-field strength,
<inline-eqn>
<math-text>
<italic>B</italic>
</math-text>
</inline-eqn>
, and the isomeric
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factor.</p>
<p>The intensity of the isomeric transitions was recorded as a function of time. The
<inline-eqn>
<math-text>
<italic>t</italic>
=0</math-text>
</inline-eqn>
signal was generated by an ion impinging on the plastic scintillator Sc41. The frequency of the Larmor precession was extracted from the measured time spectra by sorting experimental
<inline-eqn>
<math-text>
<italic>R</italic>
(
<italic>t</italic>
)</math-text>
</inline-eqn>
functions for each
<inline-eqn>
<math-text>γ</math-text>
</inline-eqn>
transition, using detectors positioned at symmetric angles,
<inline-eqn>
<math-text>&thetas;</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>&thetas;+π</math-text>
</inline-eqn>
, with respect to the beam line. The
<inline-eqn>
<math-text>
<italic>R</italic>
(
<italic>t</italic>
)</math-text>
</inline-eqn>
-function is defined as
<display-eqn id="epl12905eqn1" textype="equation" notation="LaTeX" eqnnum="1" lines="multiline"></display-eqn>
where
<inline-eqn>
<math-text>
<italic>A</italic>
<sub>2</sub>
(γ)</math-text>
</inline-eqn>
is the angular-distribution coefficient, depending on the spin and multipolarity of the
<inline-eqn>
<math-text>γ</math-text>
</inline-eqn>
-rays,
<inline-eqn>
<math-text>
<italic>B</italic>
<sub>2</sub>
</math-text>
</inline-eqn>
is the orientation parameter, depending on the degree of alignment produced in the reaction and
<inline-eqn>
<math-text>ε</math-text>
</inline-eqn>
is a normalization coefficient. The 4th and higher-order terms were neglected, because their contribution is about one order of magnitude smaller. The amplitude of the
<inline-eqn>
<math-text>
<italic>R</italic>
(
<italic>t</italic>
)</math-text>
</inline-eqn>
-function depends on the magnitude of the spin alignment of the isomeric ensemble through the orientation parameter
<inline-eqn>
<math-text>
<italic>B</italic>
<sub>2</sub>
</math-text>
</inline-eqn>
.</p>
<p>To reduce systematic errors, it is customary to compose
<inline-eqn>
<math-text>
<italic>R</italic>
(
<italic>t</italic>
)</math-text>
</inline-eqn>
-functions using data from the same detector for two opposite directions of the magnetic field [
<cite linkend="epl12905bib20">20</cite>
]. The following detector combinations were used (see fig. 
<figref linkend="epl12905fig1">1</figref>
for the detector labels):
<inline-eqn>
<math-text>
<italic>I</italic>
<sub>1</sub>
=(
<upright>A</upright>
+
<upright>L</upright>
)↑+(
<upright>D</upright>
+
<upright>G</upright>
)↓</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>
<italic>I</italic>
<sub>2</sub>
=(
<upright>A</upright>
+
<upright>L</upright>
)↓+(
<upright>D</upright>
+
<upright>G</upright>
)↑</math-text>
</inline-eqn>
, where
<inline-eqn>
<math-text></math-text>
</inline-eqn>
and
<inline-eqn>
<math-text></math-text>
</inline-eqn>
denotes opposite (up and down) directions of the applied field. In addition,
<inline-eqn>
<math-text>γ</math-text>
</inline-eqn>
-rays detected by detectors B, C and J, K, which are placed at less sensitive angles, were used in the analysis [
<cite linkend="epl12905bib13">13</cite>
].
<inline-eqn>
<math-text>
<italic>R</italic>
(
<italic>t</italic>
)</math-text>
</inline-eqn>
-functions for isomeric decay
<inline-eqn>
<math-text>γ</math-text>
</inline-eqn>
-rays of
<inline-eqn>
<math-text>
<sup>127, 128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
are presented in fig. 
<figref linkend="epl12905fig4">4</figref>
(a), (b) and fig. 
<figref linkend="epl12905fig5">5</figref>
, respectively. After introducing the momentum selection, about
<inline-eqn>
<math-text>10
<sup>4</sup>
</math-text>
</inline-eqn>
ion-
<inline-eqn>
<math-text>γ</math-text>
</inline-eqn>
coincidence events were used in the analysis of each of the transitions presented in figs. 
<figref linkend="epl12905fig4">4</figref>
and 
<figref linkend="epl12905fig5">5</figref>
. Useful data could be obtained only for relatively long times, typically few hundred ns after the prompt event, due to the atomic bremsstrahlung caused by the stopping of the high-energy (
<inline-eqn>
<math-text>300 
<upright>MeV</upright>
/
<italic>A</italic>
</math-text>
</inline-eqn>
) ions in the stopper. Even though the TDPAD method is generally applicable to isomeric states with lifetimes in the
<inline-eqn>
<math-text>τ=10 
<upright>ns</upright>
</math-text>
</inline-eqn>
<inline-eqn>
<math-text>10 μ
<upright>s</upright>
</math-text>
</inline-eqn>
range, this “prompt flash" and the detector response effectively limit the applicability range to about
<inline-eqn>
<math-text>1 μ
<upright>s</upright>
</math-text>
</inline-eqn>
and longer when working with relativistic ions under similar conditions.</p>
<figure id="epl12905fig4" parts="single" width="column" position="float" pageposition="top" printstyle="normal" orientation="port">
<graphic position="indented">
<graphic-file version="print" format="EPS" width="18.8pc" printcolour="no" filename="images/epl12905fig4.eps"></graphic-file>
<graphic-file version="ej" format="JPEG" printcolour="no" filename="images/epl12905fig4.jpg"></graphic-file>
</graphic>
<caption type="figure" id="epl12905fc4" label="Figure 4">
<p indent="no">
<inline-eqn>
<math-text>
<italic>R</italic>
(
<italic>t</italic>
)</math-text>
</inline-eqn>
-function of
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
for the 1095 keV (a) and the 715 keV (b) transition at the wing of the momentum distribution.</p>
</caption>
</figure>
<figure id="epl12905fig5" parts="single" width="column" position="float" pageposition="top" printstyle="normal" orientation="port">
<graphic position="indented">
<graphic-file version="print" format="EPS" width="18.8pc" printcolour="no" filename="images/epl12905fig5.eps"></graphic-file>
<graphic-file version="ej" format="JPEG" printcolour="no" filename="images/epl12905fig5.jpg"></graphic-file>
</graphic>
<caption type="figure" id="epl12905fc5" label="Figure 5">
<p indent="no">
<inline-eqn>
<math-text>
<italic>R</italic>
(
<italic>t</italic>
)</math-text>
</inline-eqn>
-function for the 321 keV transition of
<inline-eqn>
<math-text>
<sup>128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
.</p>
</caption>
</figure>
<p>The phase of the
<inline-eqn>
<math-text>
<italic>R</italic>
(
<italic>t</italic>
)</math-text>
</inline-eqn>
-function for the 1095 keV,
<inline-eqn>
<math-text>(15/2
<sup></sup>
)→(11/2
<sup></sup>
)</math-text>
</inline-eqn>
, stretched,
<inline-eqn>
<math-text>
<italic>E</italic>
2</math-text>
</inline-eqn>
transition in
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
corresponds to a negative sign of the
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factor. The sign has been deduced from the known direction of the magnetic field, assuming negative alignment in the wing of the momentum distribution, which is in line with the measured values [
<cite linkend="epl12905bib5">5</cite>
] and the predictions of the kinematical fragmentation model [
<cite linkend="epl12905bib2">2</cite>
,
<cite linkend="epl12905bib24">24</cite>
]. The 715 keV transition in
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
is a mixed
<inline-eqn>
<math-text>
<italic>E</italic>
1/
<italic>M</italic>
2</math-text>
</inline-eqn>
transition suggested to connect levels with different parities,
<inline-eqn>
<math-text>(15/2
<sup>+</sup>
)→(15/2
<sup></sup>
)</math-text>
</inline-eqn>
and displays an opposite phase compared to the 1095 keV transition. The phase of the
<inline-eqn>
<math-text>
<italic>R</italic>
(
<italic>t</italic>
)</math-text>
</inline-eqn>
-function for the 321 keV
<inline-eqn>
<math-text>8
<sup>+</sup>
→7
<sup></sup>
</math-text>
</inline-eqn>
stretched
<inline-eqn>
<math-text>
<italic>E</italic>
1</math-text>
</inline-eqn>
transition in
<inline-eqn>
<math-text>
<sup>128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
, which is measured in the centre of the momentum distribution, also corresponds to a negative sign of the
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factor.</p>
<p>The fit of the
<inline-eqn>
<math-text>
<italic>R</italic>
(
<italic>t</italic>
)</math-text>
</inline-eqn>
-functions yields
<inline-eqn>
<math-text>
<italic>g</italic>
(19/2
<sup>+</sup>
</math-text>
</inline-eqn>
;
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
)=−0.17(2)</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>
<italic>g</italic>
(10
<sup>+</sup>
</math-text>
</inline-eqn>
;
<inline-eqn>
<math-text>
<sup>128</sup>
<upright>Sn</upright>
)=−0.20(4)</math-text>
</inline-eqn>
. The relatively large uncertainties are due to the fact that the number of isomeric
<inline-eqn>
<math-text>γ</math-text>
</inline-eqn>
-rays used in the analysis,
<inline-eqn>
<math-text>∼10
<sup>4</sup>
</math-text>
</inline-eqn>
, is rather low. However, the present results provide a feasibility proof for such experiments. Future improvements in beam intensity and rate-hardened plastic scintillators can result in more accurate results in even farther-from-stability nuclei.</p>
<p>The amplitude of the
<inline-eqn>
<math-text>
<italic>R</italic>
(
<italic>t</italic>
)</math-text>
</inline-eqn>
-function
<display-eqn id="epl12905eqn2" textype="equation" notation="LaTeX" eqnnum="2"></display-eqn>
was deduced as
<inline-eqn>
<math-text>
<italic>a</italic>
=0.060(15)</math-text>
</inline-eqn>
in the case of the 1095 keV transition in
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
, which is assumed as a stretched quadrupole transition. This results in an alignment of
<inline-eqn>
<math-text>−19(5)%</math-text>
</inline-eqn>
in the wing of the momentum distribution, compared to a fully oblate-aligned spin ensemble. The amplitude of the
<inline-eqn>
<math-text>
<italic>R</italic>
(
<italic>t</italic>
)</math-text>
</inline-eqn>
-function of the 312 keV
<inline-eqn>
<math-text>8
<sup></sup>
→7
<sup></sup>
</math-text>
</inline-eqn>
transition in
<inline-eqn>
<math-text>
<sup>128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
(stretched
<inline-eqn>
<math-text>
<italic>E</italic>
1</math-text>
</inline-eqn>
) is
<inline-eqn>
<math-text>
<italic>a</italic>
=0.044(16)</math-text>
</inline-eqn>
, which corresponds to an alignment of
<inline-eqn>
<math-text>+12(4)%</math-text>
</inline-eqn>
in the centre of the momentum distribution, compared to a fully prolate-aligned spin ensemble.</p>
</sec-level1>
<sec-level1 id="epl12905s3">
<heading>Discussion</heading>
<sec-level2 id="epl12905s3.1">
<heading>
<inline-eqn>
<math-text>
<sup>127</sup>
<italic>Sn</italic>
</math-text>
</inline-eqn>
</heading>
<p indent="no">The excitation energies of the
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
isomers in the Sn isotopes display a similar trend to those of the
<inline-eqn>
<math-text>5
<sup></sup>
</math-text>
</inline-eqn>
states in the neighbouring even-even Sn isotopes [
<cite linkend="epl12905bib10">10</cite>
]. The wave function of the
<inline-eqn>
<math-text>5
<sup></sup>
</math-text>
</inline-eqn>
isomers is suggested as an admixture of
<inline-eqn>
<math-text>ν(3
<italic>s</italic>
<sub>1/2</sub>
<sup>−1</sup>
1
<italic>h</italic>
<sub>11/2</sub>
<sup>−1</sup>
)</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>ν(2
<italic>d</italic>
<sub>3/2</sub>
<sup>−1</sup>
1
<italic>h</italic>
<sub>11/2</sub>
<sup>−1</sup>
)</math-text>
</inline-eqn>
terms, the former being the dominant one, as confirmed by
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factor measurements for
<inline-eqn>
<math-text>
<sup>116, 118, 120</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
,
<inline-eqn>
<math-text>
<italic>g</italic>
(5
<sup></sup>
,
<upright>Sn</upright>
)≈−0.066</math-text>
</inline-eqn>
 [
<cite linkend="epl12905bib22">22</cite>
]. Similarly, the main component of the wave function of the
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
isomers is accepted as
<inline-eqn>
<math-text>ν(3
<italic>s</italic>
<sub>1/2</sub>
<sup>−1</sup>
1
<italic>h</italic>
<sub>11/2</sub>
<sup>−2</sup>
)</math-text>
</inline-eqn>
with an admixture of
<inline-eqn>
<math-text>ν(2
<italic>d</italic>
<sub>3/2</sub>
<sup>−1</sup>
1
<italic>h</italic>
<sub>11/2</sub>
<sup>−2</sup>
)</math-text>
</inline-eqn>
 [
<cite linkend="epl12905bib11">11</cite>
]. In addition, a
<inline-eqn>
<math-text>ν(1
<italic>g</italic>
<sub>7/2</sub>
<sup>−1</sup>
1
<italic>h</italic>
<sub>11/2</sub>
<sup>−2</sup>
)</math-text>
</inline-eqn>
admixture was suggested in the
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
wave function [
<cite linkend="epl12905bib11">11</cite>
], for the explanation of the existence of the 15% 732 keV,
<inline-eqn>
<math-text>(19/2
<sup>+</sup>
)→(15/2
<sup></sup>
)</math-text>
</inline-eqn>
, stretched,
<inline-eqn>
<math-text>
<italic>M</italic>
2</math-text>
</inline-eqn>
transition (fig. 
<figref linkend="epl12905fig3">3</figref>
(a)). Because of the
<italic>L</italic>
-forbiddenness, this transition cannot take place between states with the
<inline-eqn>
<math-text>ν(3
<italic>s</italic>
<sub>1/2</sub>
<sup>−1</sup>
1
<italic>h</italic>
<sub>11/2</sub>
<sup>−2</sup>
)</math-text>
</inline-eqn>
or
<inline-eqn>
<math-text>ν(2
<italic>d</italic>
<sub>3/2</sub>
<sup>−1</sup>
1
<italic>h</italic>
<sub>11/2</sub>
<sup>−2</sup>
)</math-text>
</inline-eqn>
and the
<inline-eqn>
<math-text>ν1
<italic>h</italic>
<sub>11/2</sub>
<sup>−3</sup>
</math-text>
</inline-eqn>
configurations. It can have
<inline-eqn>
<math-text>
<italic>M</italic>
2/
<italic>E</italic>
3</math-text>
</inline-eqn>
multipolarity, which in turn will involve a
<inline-eqn>
<math-text>ν(2
<italic>d</italic>
<sub>5/2</sub>
<sup>−1</sup>
1
<italic>h</italic>
<sub>11/2</sub>
<sup>−2</sup>
)</math-text>
</inline-eqn>
admixture in the
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
wave function.</p>
<p>The empirical
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors for these configurations, calculated using the experimental
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors for one-quasiparticle states in the Sn isotopes, are presented in table 
<tabref linkend="epl12905tab1">1</tabref>
. The
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factor values for the
<inline-eqn>
<math-text>ν3
<italic>s</italic>
<sub>1/2</sub>
<sup>−1</sup>
</math-text>
</inline-eqn>
,
<inline-eqn>
<math-text>ν2
<italic>d</italic>
<sub>5/2</sub>
<sup>−1</sup>
</math-text>
</inline-eqn>
and the
<inline-eqn>
<math-text>ν1
<italic>g</italic>
<sub>7/2</sub>
<sup>−1</sup>
</math-text>
</inline-eqn>
states are known for lighter Sn isotopes.</p>
<table id="epl12905tab1" frame="topbot" position="float" width="fit" place="top">
<caption type="table" id="epl12905tc1" label="Table 1">
<p>Experimental
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors for single-particle (s.p.) states in the Sn isotopes and empirical
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors for the
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
state.</p>
</caption>
<tgroup cols="4">
<colspec colnum="1" colname="col1" align="center"></colspec>
<colspec colnum="2" colname="col2" align="center"></colspec>
<colspec colnum="3" colname="col3" align="center"></colspec>
<colspec colnum="4" colname="col4" align="center"></colspec>
<thead>
<row>
<entry>s.p. config.</entry>
<entry>
<inline-eqn>
<math-text>
<italic>g</italic>
<sub>
<italic>exp</italic>
</sub>
</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
config.</entry>
<entry>
<inline-eqn>
<math-text>
<italic>g</italic>
<sub>
<italic>emp</italic>
</sub>
</math-text>
</inline-eqn>
</entry>
</row>
</thead>
<tbody>
<row>
<entry>
<inline-eqn>
<math-text>ν(1
<italic>h</italic>
<sub>11/2</sub>
<sup>−1</sup>
)</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.242(1)</math-text>
</inline-eqn>
 [
<cite linkend="epl12905bib21">21</cite>
]</entry>
<entry></entry>
<entry></entry>
</row>
<row>
<entry>
<inline-eqn>
<math-text>ν(3
<italic>s</italic>
<sub>1/2</sub>
<sup>−1</sup>
)</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−2.05</math-text>
</inline-eqn>
 [
<cite linkend="epl12905bib22">22</cite>
]</entry>
<entry>
<inline-eqn>
<math-text>ν(3
<italic>s</italic>
<sub>1/2</sub>
<sup>−1</sup>
1
<italic>h</italic>
<sub>11/2</sub>
<sup>−2</sup>
)</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.156</math-text>
</inline-eqn>
</entry>
</row>
<row>
<entry>
<inline-eqn>
<math-text>ν(2
<italic>d</italic>
<sub>3/2</sub>
<sup>−1</sup>
)</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>+0.505(3)</math-text>
</inline-eqn>
 [
<cite linkend="epl12905bib21">21</cite>
]</entry>
<entry>
<inline-eqn>
<math-text>ν(2
<italic>d</italic>
<sub>3/2</sub>
<sup>−1</sup>
1
<italic>h</italic>
<sub>11/2</sub>
<sup>−2</sup>
)</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.266</math-text>
</inline-eqn>
</entry>
</row>
<row>
<entry>
<inline-eqn>
<math-text>ν(2
<italic>d</italic>
<sub>5/2</sub>
<sup>−1</sup>
)</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.432(2)</math-text>
</inline-eqn>
 [
<cite linkend="epl12905bib23">23</cite>
]</entry>
<entry>
<inline-eqn>
<math-text>ν(2
<italic>d</italic>
<sub>5/2</sub>
<sup>−1</sup>
1
<italic>h</italic>
<sub>11/2</sub>
<sup>−2</sup>
)</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.241</math-text>
</inline-eqn>
</entry>
</row>
<row>
<entry>
<inline-eqn>
<math-text>ν(1
<italic>g</italic>
<sub>7/2</sub>
<sup>−1</sup>
)</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>+0.195(3)</math-text>
</inline-eqn>
 [
<cite linkend="epl12905bib22">22</cite>
]</entry>
<entry>
<inline-eqn>
<math-text>ν(1
<italic>g</italic>
<sub>7/2</sub>
<sup>−1</sup>
1
<italic>h</italic>
<sub>11/2</sub>
<sup>−2</sup>
)</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.230</math-text>
</inline-eqn>
</entry>
</row>
</tbody>
</tgroup>
</table>
<p>The measured
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factor
<inline-eqn>
<math-text>
<italic>g</italic>
(19/2
<sup>+</sup>
,
<sup>127</sup>
<italic>Sn</italic>
)=−0.17(2)</math-text>
</inline-eqn>
is in good agreement with the suggested main component of the wave function. Within the experimental uncertainty, some configuration mixing might be expected.</p>
</sec-level2>
<sec-level2 id="epl12905s3.2">
<heading>
<inline-eqn>
<math-text>
<sup>128</sup>
<italic>Sn</italic>
</math-text>
</inline-eqn>
</heading>
<p indent="no">The
<inline-eqn>
<math-text>10
<sup>+</sup>
</math-text>
</inline-eqn>
isomers in the Sn nuclei are suggested to have the
<inline-eqn>
<math-text>ν1
<italic>h</italic>
<sub>11/2</sub>
<sup>−2</sup>
</math-text>
</inline-eqn>
configuration. The
<inline-eqn>
<math-text>10
<sup>+</sup>
</math-text>
</inline-eqn>
microsecond isomer in
<inline-eqn>
<math-text>
<sup>128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
decays to the
<inline-eqn>
<math-text>8
<sup>+</sup>
</math-text>
</inline-eqn>
state with a stretched
<inline-eqn>
<math-text>
<italic>E</italic>
2</math-text>
</inline-eqn>
transition, which in turn decays via a stretched
<inline-eqn>
<math-text>
<italic>E</italic>
1</math-text>
</inline-eqn>
transition to the
<inline-eqn>
<math-text>7
<sup></sup>
</math-text>
</inline-eqn>
isomer (
<inline-eqn>
<math-text>
<italic>T</italic>
<sub>1/2</sub>
=6.5 
<upright>s</upright>
</math-text>
</inline-eqn>
) [
<cite linkend="epl12905bib12">12</cite>
].</p>
<p>The main configuration of the
<inline-eqn>
<math-text>7
<sup></sup>
</math-text>
</inline-eqn>
states in the even- mass Sn nuclei is
<inline-eqn>
<math-text>ν(2
<italic>d</italic>
<sub>3/2</sub>
<sup>−1</sup>
1
<italic>h</italic>
<sub>11/2</sub>
<sup>−1</sup>
)</math-text>
</inline-eqn>
. A detailed study of the
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factor of this isomer revealed the necessity to consider core-polarization configurations for the
<inline-eqn>
<math-text>
<italic>M</italic>
1</math-text>
</inline-eqn>
operator in this region, originating from excitations across the
<inline-eqn>
<math-text>
<italic>N</italic>
=82</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>
<italic>Z</italic>
=50</math-text>
</inline-eqn>
shells [
<cite linkend="epl12905bib25">25</cite>
].</p>
<p>The
<inline-eqn>
<math-text>10
<sup>+</sup>
</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>8
<sup>+</sup>
</math-text>
</inline-eqn>
states are part of
<inline-eqn>
<math-text>ν1
<italic>h</italic>
<sub>11/2</sub>
<sup>−2</sup>
</math-text>
</inline-eqn>
, seniority
<inline-eqn>
<math-text>ν=2</math-text>
</inline-eqn>
multiplet. As there are two neutrons on the same orbital, the
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factor of such a configuration is independent of the total spin to which they are coupled and
<inline-eqn>
<math-text>
<italic>g</italic>
<sub>
<italic>emp</italic>
</sub>
(ν1
<italic>h</italic>
<sub>11/2</sub>
<sup>−2</sup>
)=
<italic>g</italic>
<sub>
<italic>exp</italic>
</sub>
(ν1
<italic>h</italic>
<sub>11/2</sub>
<sup>−1</sup>
;
<italic>Sn</italic>
)=−0.24</math-text>
</inline-eqn>
is expected. This value is an average of the measured
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors in the neighbouring odd-
<inline-eqn>
<math-text>
<italic>A</italic>
</math-text>
</inline-eqn>
Sn isotopes. An average value of
<inline-eqn>
<math-text>
<italic>g</italic>
(10
<sup>+</sup>
;
<italic>Sn</italic>
)≈−0.24</math-text>
</inline-eqn>
 [
<cite linkend="epl12905bib22">22</cite>
] was measured for the
<inline-eqn>
<math-text>10
<sup>+</sup>
</math-text>
</inline-eqn>
states in
<inline-eqn>
<math-text>
<sup>116, 118</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
. The
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factor,
<inline-eqn>
<math-text>
<italic>g</italic>
(10
<sup>+</sup>
,
<sup>128</sup>
<italic>Sn</italic>
)=−0.20(4)</math-text>
</inline-eqn>
, measured in this experiment is in agreement with these values, but within the observed experimental uncertainty some admixtures originating from core-polarizing excitations might be present in this case, too.</p>
</sec-level2>
<sec-level2 id="epl12905s3.3">
<heading>Shell model calculations</heading>
<p indent="no">Shell model analysis was done starting from two different closed cores. The first model (SM I) assumes
<inline-eqn>
<math-text>
<sup>132</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
as a closed core and uses a model space for neutron holes in
<inline-eqn>
<math-text>3
<italic>s</italic>
<sub>1/2</sub>
, 2
<italic>d</italic>
<sub>3/2</sub>
, 2
<italic>d</italic>
<sub>5/2</sub>
</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>1
<italic>g</italic>
<sub>7/2</sub>
</math-text>
</inline-eqn>
from the
<inline-eqn>
<math-text>
<italic>N</italic>
=4</math-text>
</inline-eqn>
shell plus the intruder
<inline-eqn>
<math-text>1
<italic>h</italic>
<sub>11/2</sub>
</math-text>
</inline-eqn>
from the
<inline-eqn>
<math-text>
<italic>N</italic>
=5</math-text>
</inline-eqn>
shell. The realistic nucleon-nucleon potential derived from modern meson exchange models was renormalized taking into account the specific nuclear medium to produce the nuclear reaction
<inline-eqn>
<math-text>
<italic>G</italic>
</math-text>
</inline-eqn>
-matrix, which was the starting point for a perturbative many-body scheme for deriving shell model interactions [
<cite linkend="epl12905bib26">26</cite>
]. The calculations were done using the CENS software [
<cite linkend="epl12905bib27">27</cite>
]. The experimental single-hole energies for the orbitals are taken from
<inline-eqn>
<math-text>
<sup>131</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
. Calculations of the low-lying levels of
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>
<sup>129</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
with the same effective interaction were presented in ref. [
<cite linkend="epl12905bib28">28</cite>
] and the results are in a good agreement with the experimental data.</p>
<p>The second model assumes
<inline-eqn>
<math-text>
<sup>88</sup>
</math-text>
</inline-eqn>
Sr as an inert core and uses the model space for protons
<inline-eqn>
<math-text>2
<italic>p</italic>
<sub>1/2</sub>
, 1
<italic>g</italic>
<sub>9/2</sub>
</math-text>
</inline-eqn>
and for neutrons
<inline-eqn>
<math-text>1
<italic>g</italic>
<sub>7/2</sub>
, 3
<italic>s</italic>
<sub>1/2</sub>
, 2
<italic>d</italic>
<sub>5/2</sub>
, 2
<italic>d</italic>
<sub>3/2</sub>
, 1
<italic>h</italic>
<sub>11/2</sub>
</math-text>
</inline-eqn>
 [
<cite linkend="epl12905bib29">29</cite>
],
<italic>i.e.</italic>
the Sn valence space is the same as in SM I. Non-truncated shell model calculations (SM II) were recently performed for the whole Sn region down to
<inline-eqn>
<math-text>
<sup>124</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
, using a realistic two-body CD-Bonn interaction according to the method described in ref. [
<cite linkend="epl12905bib28">28</cite>
]. Effective
<inline-eqn>
<math-text>
<italic>M</italic>
1</math-text>
</inline-eqn>
operators as described above were used, and calculations were performed with the OXBASH code [
<cite linkend="epl12905bib30">30</cite>
]. The interaction was monopole tuned to reproduce the
<inline-eqn>
<math-text>
<sup>131</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
single-hole energies. The calculations of the levels of odd Sn isotopes with the same effective interaction were presented in ref. [
<cite linkend="epl12905bib31">31</cite>
].</p>
<p>Results with both models for
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors of single-particle states in
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
,
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
isomers in the odd-
<inline-eqn>
<math-text>
<italic>A</italic>
</math-text>
</inline-eqn>
<inline-eqn>
<math-text>
<sup>125, 127, 129</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
isotopes and
<inline-eqn>
<math-text>10
<sup>+</sup>
</math-text>
</inline-eqn>
isomers in even-even
<inline-eqn>
<math-text>
<sup>124, 126, 128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
isotopes, together with the experimental values, are shown in table 
<tabref linkend="epl12905tab2">2</tabref>
. Values denoted as
<inline-eqn>
<math-text>
<italic>g</italic>
<sub>
<italic>free</italic>
</sub>
</math-text>
</inline-eqn>
are calculated with the
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors for free nucleons, the
<inline-eqn>
<math-text>
<italic>g</italic>
<sub>
<italic>eff</italic>
</sub>
</math-text>
</inline-eqn>
values are calculated with the effective nucleon
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors
<inline-eqn>
<math-text>
<italic>g</italic>
<sub>
<italic>s</italic>
</sub>
=0.7·
<italic>g</italic>
<sub>
<italic>s</italic>
</sub>
<sup>
<italic>free</italic>
</sup>
</math-text>
</inline-eqn>
.</p>
<table id="epl12905tab2" frame="topbot" position="float" width="page" place="top">
<caption type="table" id="epl12905tc2" label="Table 2">
<p>Experimental and calculated isomeric
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors for the Sn isotopes.</p>
</caption>
<tgroup cols="7">
<colspec colnum="1" colname="col1" align="center"></colspec>
<colspec colnum="2" colname="col2" align="center"></colspec>
<colspec colnum="3" colname="col3" align="center"></colspec>
<colspec colnum="4" colname="col4" align="center"></colspec>
<colspec colnum="5" colname="col5" align="center"></colspec>
<colspec colnum="6" colname="col6" align="center"></colspec>
<colspec colnum="7" colname="col7" align="center"></colspec>
<thead>
<row>
<entry></entry>
<entry></entry>
<entry></entry>
<entry namest="col4" nameend="col5" align="center">SM I</entry>
<entry namest="col6" nameend="col7" align="center">SM II</entry>
</row>
<row>
<entry></entry>
<entry>
<inline-eqn>
<math-text>
<italic>I</italic>
<sup>π</sup>
</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>
<italic>g</italic>
<sub>
<italic>exp</italic>
</sub>
</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>
<italic>g</italic>
<sub>
<italic>free</italic>
</sub>
</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>
<italic>g</italic>
<sub>
<italic>eff</italic>
</sub>
</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>
<italic>g</italic>
<sub>
<italic>free</italic>
</sub>
</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>
<italic>g</italic>
<sub>
<italic>eff</italic>
</sub>
</math-text>
</inline-eqn>
</entry>
</row>
</thead>
<tbody>
<row>
<entry>
<inline-eqn>
<math-text>
<sup>125</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
</entry>
<entry></entry>
<entry>
<inline-eqn>
<math-text>−0.214</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.150</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.190</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.133</math-text>
</inline-eqn>
</entry>
</row>
<row>
<entry>
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>3/2
<sup>+</sup>
</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>+0.505(3)</math-text>
</inline-eqn>
 [
<cite linkend="epl12905bib21">21</cite>
]</entry>
<entry>
<inline-eqn>
<math-text>+0.933</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>+0.653</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>+0.737</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>+0.516</math-text>
</inline-eqn>
</entry>
</row>
<row>
<entry></entry>
<entry>
<inline-eqn>
<math-text>11/2
<sup></sup>
</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.242(1)</math-text>
</inline-eqn>
 [
<cite linkend="epl12905bib21">21</cite>
]</entry>
<entry>
<inline-eqn>
<math-text>−0.371</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.260</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.342</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.239</math-text>
</inline-eqn>
</entry>
</row>
<row>
<entry></entry>
<entry>
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.17(2)</math-text>
</inline-eqn>
<sup>
<italic>a</italic>
</sup>
</entry>
<entry>
<inline-eqn>
<math-text>−0.212</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.148</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.178</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.125</math-text>
</inline-eqn>
</entry>
</row>
<row>
<entry>
<inline-eqn>
<math-text>
<sup>129</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
</entry>
<entry></entry>
<entry>
<inline-eqn>
<math-text>−0.184</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.129</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.166</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.116</math-text>
</inline-eqn>
</entry>
</row>
<row>
<entry>
<inline-eqn>
<math-text>
<sup>124</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>10
<sup>+</sup>
</math-text>
</inline-eqn>
</entry>
<entry></entry>
<entry>
<inline-eqn>
<math-text>−0.349</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.246</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.337</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.236</math-text>
</inline-eqn>
</entry>
</row>
<row>
<entry>
<inline-eqn>
<math-text>
<sup>126</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>10
<sup>+</sup>
</math-text>
</inline-eqn>
</entry>
<entry></entry>
<entry>
<inline-eqn>
<math-text>−0.355</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.249</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.340</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.238</math-text>
</inline-eqn>
</entry>
</row>
<row>
<entry>
<inline-eqn>
<math-text>
<sup>128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>8
<sup>+</sup>
</math-text>
</inline-eqn>
</entry>
<entry></entry>
<entry>
<inline-eqn>
<math-text>−0.361</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.253</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.343</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.240</math-text>
</inline-eqn>
</entry>
</row>
<row>
<entry></entry>
<entry>
<inline-eqn>
<math-text>10
<sup>+</sup>
</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.20(4)</math-text>
</inline-eqn>
<sup>
<italic>a</italic>
</sup>
</entry>
<entry>
<inline-eqn>
<math-text>−0.359</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.251</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.344</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.241</math-text>
</inline-eqn>
</entry>
</row>
<row>
<entry>
<inline-eqn>
<math-text>
<sup>130</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>10
<sup>+</sup>
</math-text>
</inline-eqn>
</entry>
<entry></entry>
<entry>
<inline-eqn>
<math-text>−0.364</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.255</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.348</math-text>
</inline-eqn>
</entry>
<entry>
<inline-eqn>
<math-text>−0.244</math-text>
</inline-eqn>
</entry>
</row>
</tbody>
<tfoot>
<inline-eqn>
<math-text>
<sup>
<italic>a</italic>
</sup>
</math-text>
</inline-eqn>
Present work.</tfoot>
</tgroup>
</table>
<p>Based on the occupation numbers, the shell model analysis supports the suggested main component of the wave function of the
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
isomer. In general, the calculated effective
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors within both approaches are in agreement with the experimental values. The small differences between the calculated values are mainly due to the different cores, and perhaps to the fact that SM II uses monopole modified interactions.</p>
<p>The calculated
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors for the
<inline-eqn>
<math-text>10
<sup>+</sup>
</math-text>
</inline-eqn>
isomer in
<inline-eqn>
<math-text>
<sup>128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
within both approaches are in a good agreement with the experimental value. The calculations demonstrate an amazing stability for the
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factor value of this state for the
<inline-eqn>
<math-text>
<sup>124–130</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
isotopes. Both approaches reproduce well the
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors of the
<inline-eqn>
<math-text>ν2
<italic>d</italic>
<sub>3/2</sub>
</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>ν1
<italic>h</italic>
<sub>11/2</sub>
</math-text>
</inline-eqn>
states, but somewhat underestimate the measured
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factor for the
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
isomer in
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
, when the effective nucleon
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors are used. This can be due to a
<inline-eqn>
<math-text>ν2
<italic>d</italic>
<sub>5/2</sub>
</math-text>
</inline-eqn>
admixture in the wave function, 4.7% and 3.5% for SM I and SM II, respectively. It allows a large non-diagonal
<inline-eqn>
<math-text>ν2
<italic>d</italic>
<sub>5/2</sub>
→ν2
<italic>d</italic>
<sub>3/2</sub>
</math-text>
</inline-eqn>
spin-flip matrix element, a core-polarization contribution that should already be accounted for in the adopted
<inline-eqn>
<math-text>
<italic>g</italic>
<sub>
<italic>s</italic>
</sub>
</math-text>
</inline-eqn>
quenching.</p>
</sec-level2>
</sec-level1>
<sec-level1 id="epl12905s4">
<heading>Summary</heading>
<p indent="no">The measured experimental values for the
<inline-eqn>
<math-text>
<italic>g</italic>
</math-text>
</inline-eqn>
-factors of the
<inline-eqn>
<math-text>19/2
<sup>+</sup>
</math-text>
</inline-eqn>
and the
<inline-eqn>
<math-text>10
<sup>+</sup>
</math-text>
</inline-eqn>
isomers in
<inline-eqn>
<math-text>
<sup>127</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
and
<inline-eqn>
<math-text>
<sup>128</sup>
<upright>Sn</upright>
</math-text>
</inline-eqn>
, respectively, confirm the shell model picture for these nuclei. The experiment provides evidence that the wave functions of these nuclei, which lie close to the doubly magic
<inline-eqn>
<math-text>
<sup>132</sup>
<sub>50</sub>
<upright>Sn</upright>
</math-text>
</inline-eqn>
<inline-eqn>
<math-text>
<sub>82</sub>
</math-text>
</inline-eqn>
, are rather pure. The success of the present technique using relativistic fragments paves the way to measurements of nuclei farther from stability in this mass region.</p>
</sec-level1>
<acknowledgment>
<heading>Acknowledgments</heading>
<p indent="no">This work was supported in part by the EC EURONS RII3-CT-2004-506065, the Bulgarian NSF DID02/16 and DRNF02/5, the Belgian IAP P6-23, the German BMBF 06KY205I, the Spanish Ministerio de Ciencias e Innovación FPA2007-66069 projects and the UK EPSRC.</p>
</acknowledgment>
</body>
<back>
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<abstract>We report on g-factor measurements of the 19/2T1/24.5(3)s isomer in 127Sn and the 10T1/22.69(23)s isomer in 128Sn. These isomers were produced and spin-aligned in relativistic heavy-ion fragmentation at GSI and were selected and separated by the GSI fragment separator (FRS). The -rays of the isomeric decay were detected by the RISING -ray spectrometer. The method of time-differential perturbed angular distributions was utilized. The measured g-factors, g(19/2; 127Sn) 0.17(2) and g(10; 128Sn) 0.20(4), are compared with shell model calculations. The measured g-factors confirm the predominantly h11/2 2 and (s1/2 1h11/22) character of the 10 and 19/2 isomers in 128Sn and 127Sn, respectively. The results demonstrate the feasibility of the method for similar measurements in exotic neutron-rich nuclei.</abstract>
<classification authority="pacs">21.10.Ky</classification>
<classification authority="pacs">21.60.Cs</classification>
<classification authority="pacs">25.70.Mn</classification>
<relatedItem type="host">
<titleInfo>
<title>Europhysics Letters</title>
</titleInfo>
<titleInfo type="abbreviated">
<title>EPL</title>
</titleInfo>
<genre type="journal">journal</genre>
<identifier type="ISSN">0295-5075</identifier>
<identifier type="eISSN">1286-4854</identifier>
<identifier type="PublisherID">epl</identifier>
<identifier type="CODEN">EULEEJ</identifier>
<identifier type="URL">www.epljournal.org</identifier>
<part>
<date>2010</date>
<detail type="volume">
<caption>vol.</caption>
<number>91</number>
</detail>
<detail type="issue">
<caption>no.</caption>
<number>4</number>
</detail>
<extent unit="pages">
<start>1</start>
<end>6</end>
<total>6</total>
</extent>
</part>
</relatedItem>
<identifier type="istex">1A2CB42012BFFE508710C619EB0414EE3A8106DC</identifier>
<identifier type="DOI">10.1209/0295-5075/91/42001</identifier>
<identifier type="articleID">epl_12905</identifier>
<identifier type="articleNumber">42001</identifier>
<accessCondition type="use and reproduction" contentType="copyright">Europhysics Letters Association</accessCondition>
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<recordOrigin>Europhysics Letters Association</recordOrigin>
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