New dispersion relations and their application to partial-wave amplitudes
Identifieur interne : 001642 ( Istex/Corpus ); précédent : 001641; suivant : 001643New dispersion relations and their application to partial-wave amplitudes
Auteurs : G. E. Hite ; F. SteinerSource :
- Il Nuovo Cimento A Series 11 [ 0369-3546 ] ; 1973-11-01.
Abstract
Summary: After reviewing the commonly used dispersion relations, a systematic investigation of more generalized dispersion relations on parametrized curves in the Mandelstam plane fors-u crossing-symmetric amplitudes is made with the aim of obtaining dispersion relations which receive contributions from all three channels, however, in such a way that knowledge of the absorptive parts is only required in regions well inside the various Lehmann ellipses. In addition we require that the dispersion relations receive no contributions from kinematic singularities arising from the parametrization and that they allow partial-wave projections to be made in a relatively simple manner. It is found that dispersion relations on hyperbolic curves in the Mandelstam plane are a natural solution of the problem. The dispersion relations are written in a remarkably simple form similar to the usual fixed-t dispersion relation but with an additionalt-channel contribution. As an interesting application, we derive generalized partial-wave dispersion relations for elastic pion-nucleon scattering, where the left-hand cut contribution is explicitly given by convergent partial-wave series in the crossed channels.
Url:
DOI: 10.1007/BF02722827
Links to Exploration step
ISTEX:2F70572505382BAE5D1DDE5D94D1437ADF502A96Le document en format XML
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Steiner</name><affiliation><mods:affiliation>CERN, Geneva</mods:affiliation></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:2F70572505382BAE5D1DDE5D94D1437ADF502A96</idno><date when="1973" year="1973">1973</date><idno type="doi">10.1007/BF02722827</idno><idno type="url">https://api.istex.fr/document/2F70572505382BAE5D1DDE5D94D1437ADF502A96/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">001642</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001642</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">New dispersion relations and their application to partial-wave amplitudes</title><author><name sortKey="Hite, G E" sort="Hite, G E" uniqKey="Hite G" first="G. E." last="Hite">G. E. Hite</name><affiliation><mods:affiliation>Fachbereich Physik, Universität Trier-Kaiserslautern, Kaiserslautern</mods:affiliation></affiliation></author><author><name sortKey="Steiner, F" sort="Steiner, F" uniqKey="Steiner F" first="F." last="Steiner">F. Steiner</name><affiliation><mods:affiliation>CERN, Geneva</mods:affiliation></affiliation></author></analytic><monogr></monogr><series><title level="j">Il Nuovo Cimento A Series 11</title><title level="j" type="abbrev">Nuov Cim A</title><idno type="ISSN">0369-3546</idno><idno type="eISSN">1826-9869</idno><imprint><publisher>Società Italiana di Fisica</publisher><pubPlace>Bologna</pubPlace><date type="published" when="1973-11-01">1973-11-01</date><biblScope unit="volume">18</biblScope><biblScope unit="issue">2</biblScope><biblScope unit="page" from="237">237</biblScope><biblScope unit="page" to="270">270</biblScope></imprint><idno type="ISSN">0369-3546</idno></series><idno type="istex">2F70572505382BAE5D1DDE5D94D1437ADF502A96</idno><idno type="DOI">10.1007/BF02722827</idno><idno type="ArticleID">BF02722827</idno><idno type="ArticleID">Art4</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0369-3546</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Summary: After reviewing the commonly used dispersion relations, a systematic investigation of more generalized dispersion relations on parametrized curves in the Mandelstam plane fors-u crossing-symmetric amplitudes is made with the aim of obtaining dispersion relations which receive contributions from all three channels, however, in such a way that knowledge of the absorptive parts is only required in regions well inside the various Lehmann ellipses. In addition we require that the dispersion relations receive no contributions from kinematic singularities arising from the parametrization and that they allow partial-wave projections to be made in a relatively simple manner. It is found that dispersion relations on hyperbolic curves in the Mandelstam plane are a natural solution of the problem. The dispersion relations are written in a remarkably simple form similar to the usual fixed-t dispersion relation but with an additionalt-channel contribution. As an interesting application, we derive generalized partial-wave dispersion relations for elastic pion-nucleon scattering, where the left-hand cut contribution is explicitly given by convergent partial-wave series in the crossed channels.</div></front></TEI><istex><corpusName>springer</corpusName><author><json:item><name>G. E. Hite</name><affiliations><json:string>Fachbereich Physik, Universität Trier-Kaiserslautern, Kaiserslautern</json:string></affiliations></json:item><json:item><name>F. Steiner</name><affiliations><json:string>CERN, Geneva</json:string></affiliations></json:item></author><articleId><json:string>BF02722827</json:string><json:string>Art4</json:string></articleId><language><json:string>eng</json:string></language><originalGenre><json:string>OriginalPaper</json:string></originalGenre><abstract>Summary: After reviewing the commonly used dispersion relations, a systematic investigation of more generalized dispersion relations on parametrized curves in the Mandelstam plane fors-u crossing-symmetric amplitudes is made with the aim of obtaining dispersion relations which receive contributions from all three channels, however, in such a way that knowledge of the absorptive parts is only required in regions well inside the various Lehmann ellipses. In addition we require that the dispersion relations receive no contributions from kinematic singularities arising from the parametrization and that they allow partial-wave projections to be made in a relatively simple manner. It is found that dispersion relations on hyperbolic curves in the Mandelstam plane are a natural solution of the problem. The dispersion relations are written in a remarkably simple form similar to the usual fixed-t dispersion relation but with an additionalt-channel contribution. As an interesting application, we derive generalized partial-wave dispersion relations for elastic pion-nucleon scattering, where the left-hand cut contribution is explicitly given by convergent partial-wave series in the crossed channels.</abstract><qualityIndicators><score>7.016</score><pdfVersion>1.3</pdfVersion><pdfPageSize>486 x 702 pts</pdfPageSize><refBibsNative>false</refBibsNative><keywordCount>0</keywordCount><abstractCharCount>1205</abstractCharCount><pdfWordCount>14370</pdfWordCount><pdfCharCount>53789</pdfCharCount><pdfPageCount>34</pdfPageCount><abstractWordCount>168</abstractWordCount></qualityIndicators><title>New dispersion relations and their application to partial-wave amplitudes</title><refBibs><json:item><host><author></author><title>-HepecMoTpeB O61,I~IO Hcnonb3yeM],m ~Hcnepcnommm COOTnOmermz, npo- BOffHTC~ CHCTeMaTH~eCKOe Hccne~(oBaHHe aaH6onee o6o6memmLX ~cnepcnommLX eoorHomerm~ r~a HapaMeTpH3oBammrx KpHBs~X S rtnocKocTrt MaH~encTaMa ~na s-u Kpoccanr- CTIMMeTpHtlHBIX aMnnHTyH, c Henbm nonyqeHi~ ~HcnepCHOHH~,IX cooTHomerm~, gOTOp],le BOCHpHHKMaIOT BKHa~BI OT Bcex Tpex I~aHa~OB</title></host></json:item><json:item><host><author><json:item><name>Kpome Toro</name></json:item><json:item><name>Mbi Tpe6yem</name></json:item></author><title>He HMena BKna~OB OV I~HeMaTn~eCKHX CrlHryJ/~pHOCTe~, BO3HHKaIOHIHX OT napaMeTpH3aHrr~, H tlTO6bI OHH ~aBani~ BO3MO~:HOCTB IIpOH3BOIVATB napnx4anbHoe ripoeKTnpoBarme OTtIOCHTeIIBHO IIpOCTbIM oSpa3oM. 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In addition we require that the dispersion relations receive no contributions from kinematic singularities arising from the parametrization and that they allow partial-wave projections to be made in a relatively simple manner. It is found that dispersion relations on hyperbolic curves in the Mandelstam plane are a natural solution of the problem. The dispersion relations are written in a remarkably simple form similar to the usual fixed-t dispersion relation but with an additionalt-channel contribution. As an interesting application, we derive generalized partial-wave dispersion relations for elastic pion-nucleon scattering, where the left-hand cut contribution is explicitly given by convergent partial-wave series in the crossed channels.</p></abstract><abstract xml:lang="it"><p>Riassunto: Dopo avere riesaminato le relazioni di dispersione comunemente impiegate, si studiano relazioni di dispersione più generalizzate, definite su curve parametrizzate nel piano di Mandelstam, per le ampiezzes-u a simmetria incrociata, con lo scopo di ottenere relazioni di dispersione che ricevano contributi da tutti e tre i canali; tuttavia, in tal modo, la conoscenza delle parti che determinano l’assorbimento è richiesta soltanto in regioni completamente interne alle varie ellissi di Lehmann. Inoltre si richiede che le relazioni di dispersione non ricevano contributi da singolarità cinematiche derivanti dalla parametrizzazione e che consentano di effettuare in un modo relativamente semplice proiezioni di onde parziali. Si trova che relazioni di dispersione definite su curve iperboliche nel piano di Mandelstam rappresentano una soluzione naturale del problema. Le relazioni di dispersione sono rappresentate in una forma notevolmente semplice, simile a quella delle consuete relazioni di dispersione che si ottengono tenendo fissa la variabilet, ma con un contributo supplementare al canalet. Un’interessante applicazione consiste nell’ottenere relazioni di dispersione generalizzate (per onde parziali) per lo scattering elastico pione-nucleone, nel quale il contributo dei tagli a sinistra viene rappresentato esplicitamente nei canali incrociati da una serie convergente di onde parziali.</p></abstract><abstract xml:lang="--"><p>Реэюме: Пересмотрев обычно испольэуемые дисперсионные соотнощения, про-водится систематическое исследование наиболее обобшенных дисперсионных соотно-щений на параметриэованных кривых в плоскости Манделстама дляs-u кроссинг-симметрич ных амплитуд, с целью получения дисперсионных соотнощений, которые воспринимают вклады от всех трех каналов. Однако в зтом случае требуется энание абсорбционных частей только в областях внутри раэличных зллипсов Лемана. Кроме того, мы требуем, утобы дисперсионные соотнощения не имели вкладов от кинематических сингулярностей, воэникаюших от параметриэации, и чтобы они давали воэможность проиэводить парциальное проектирование относительно простым обраэом. Получается, что дисперсионные соотнощения на гиперболических кривых в плоскости Манделстама преставляют естественное рещение проблемы. Дисперсион-ные соотнощения эаписываются в очень простой форме, аналогично обычному дисперсионному соотнощению при фиксированномt, но с дополнительным вкладомt канала. Как применение зтого подхода, мы выводим обобшенные парциальные дисперсионные соотнощения для упругого пион-нуклонного рассеяния, где вклад левостороннего раэреэа явно выражается череэ сходяшийся парциальный ряд в перекрестных каналах.</p></abstract><textClass><keywords scheme="Journal-Subject-Group"><list><label>P</label><label>P00002</label><item><term>Physics</term></item><item><term>Physics, general</term></item></list></keywords></textClass></profileDesc><revisionDesc><change when="1972-12-21">Created</change><change when="1973-11-01">Published</change><change xml:id="refBibs-istex" who="#ISTEX-API" when="2016-11-22">References added</change><change xml:id="refBibs-istex" who="#ISTEX-API" when="2017-01-20">References 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Cimento A Series 11</JournalTitle><JournalAbbreviatedTitle>Nuov Cim A</JournalAbbreviatedTitle><JournalSubjectGroup><JournalSubject Code="P" Type="Primary">Physics</JournalSubject><JournalSubject Code="P00002" Priority="1" Type="Secondary">Physics, general</JournalSubject></JournalSubjectGroup></JournalInfo><Volume><VolumeInfo TocLevels="0" VolumeType="Regular"><VolumeIDStart>18</VolumeIDStart><VolumeIDEnd>18</VolumeIDEnd><VolumeIssueCount>4</VolumeIssueCount></VolumeInfo><Issue IssueType="Regular"><IssueInfo TocLevels="0"><IssueIDStart>2</IssueIDStart><IssueIDEnd>2</IssueIDEnd><IssueArticleCount>11</IssueArticleCount><IssueHistory><CoverDate><DateString>21 Novembre 1973</DateString><Year>1973</Year><Month>11</Month></CoverDate></IssueHistory><IssueCopyright><CopyrightHolderName>Società Italiana di Fisica</CopyrightHolderName><CopyrightYear>1973</CopyrightYear></IssueCopyright></IssueInfo><Article ID="Art4"><ArticleInfo ArticleType="OriginalPaper" ContainsESM="No" Language="En" NumberingStyle="Unnumbered" TocLevels="0"><ArticleID>BF02722827</ArticleID><ArticleDOI>10.1007/BF02722827</ArticleDOI><ArticleSequenceNumber>4</ArticleSequenceNumber><ArticleTitle Language="En">New dispersion relations and their application to partial-wave amplitudes</ArticleTitle><ArticleTitle Language="--">Новые дисперсионные соотнощения и их применение к парциальным амплитудам</ArticleTitle><ArticleFirstPage>237</ArticleFirstPage><ArticleLastPage>270</ArticleLastPage><ArticleHistory><RegistrationDate><Year>2007</Year><Month>10</Month><Day>11</Day></RegistrationDate><Received><Year>1972</Year><Month>12</Month><Day>21</Day></Received><Accepted><Year>1973</Year><Month>7</Month><Day>4</Day></Accepted></ArticleHistory><ArticleCopyright><CopyrightHolderName>Società Italiana di Fisica</CopyrightHolderName><CopyrightYear>1973</CopyrightYear></ArticleCopyright><ArticleGrants Type="Regular"><MetadataGrant Grant="OpenAccess"></MetadataGrant><AbstractGrant Grant="OpenAccess"></AbstractGrant><BodyPDFGrant Grant="Restricted"></BodyPDFGrant><BodyHTMLGrant Grant="Restricted"></BodyHTMLGrant><BibliographyGrant Grant="Restricted"></BibliographyGrant><ESMGrant Grant="Restricted"></ESMGrant></ArticleGrants><ArticleContext><JournalID>11539</JournalID><VolumeIDStart>18</VolumeIDStart><VolumeIDEnd>18</VolumeIDEnd><IssueIDStart>2</IssueIDStart><IssueIDEnd>2</IssueIDEnd></ArticleContext></ArticleInfo><ArticleHeader><AuthorGroup><Author AffiliationIDS="Aff1"><AuthorName DisplayOrder="Western"><GivenName>G.</GivenName><GivenName>E.</GivenName><FamilyName>Hite</FamilyName></AuthorName></Author><Author AffiliationIDS="Aff2" PresentAffiliationID="Aff3"><AuthorName DisplayOrder="Western"><GivenName>F.</GivenName><FamilyName>Steiner</FamilyName></AuthorName></Author><Affiliation ID="Aff1"><OrgDivision>Fachbereich Physik</OrgDivision><OrgName>Universität Trier-Kaiserslautern</OrgName><OrgAddress><City>Kaiserslautern</City></OrgAddress></Affiliation><Affiliation ID="Aff2"><OrgName>CERN</OrgName><OrgAddress><City>Geneva</City></OrgAddress></Affiliation><Affiliation ID="Aff3"><OrgDivision>the Institut für Theoretische Kernphysik</OrgDivision><OrgName>Universität Karlsruhe</OrgName><OrgAddress><Country>Italy</Country></OrgAddress></Affiliation></AuthorGroup><Abstract ID="Abs1" Language="En"><Heading>Summary</Heading><Para>After reviewing the commonly used dispersion relations, a systematic investigation of more generalized dispersion relations on parametrized curves in the Mandelstam plane for<Emphasis Type="Italic">s-u</Emphasis> crossing-symmetric amplitudes is made with the aim of obtaining dispersion relations which receive contributions from all three channels, however, in such a way that knowledge of the absorptive parts is only required in regions well inside the various Lehmann ellipses. In addition we require that the dispersion relations receive no contributions from kinematic singularities arising from the parametrization and that they allow partial-wave projections to be made in a relatively simple manner. It is found that dispersion relations on hyperbolic curves in the Mandelstam plane are a natural solution of the problem. The dispersion relations are written in a remarkably simple form similar to the usual fixed-<Emphasis Type="Italic">t</Emphasis> dispersion relation but with an additional<Emphasis Type="Italic">t</Emphasis>-channel contribution. As an interesting application, we derive generalized partial-wave dispersion relations for elastic pion-nucleon scattering, where the left-hand cut contribution is explicitly given by convergent partial-wave series in the crossed channels.</Para></Abstract><Abstract ID="Abs2" Language="It"><Heading>Riassunto</Heading><Para>Dopo avere riesaminato le relazioni di dispersione comunemente impiegate, si studiano relazioni di dispersione più generalizzate, definite su curve parametrizzate nel piano di Mandelstam, per le ampiezze<Emphasis Type="Italic">s-u</Emphasis> a simmetria incrociata, con lo scopo di ottenere relazioni di dispersione che ricevano contributi da tutti e tre i canali; tuttavia, in tal modo, la conoscenza delle parti che determinano l’assorbimento è richiesta soltanto in regioni completamente interne alle varie ellissi di Lehmann. Inoltre si richiede che le relazioni di dispersione non ricevano contributi da singolarità cinematiche derivanti dalla parametrizzazione e che consentano di effettuare in un modo relativamente semplice proiezioni di onde parziali. Si trova che relazioni di dispersione definite su curve iperboliche nel piano di Mandelstam rappresentano una soluzione naturale del problema. Le relazioni di dispersione sono rappresentate in una forma notevolmente semplice, simile a quella delle consuete relazioni di dispersione che si ottengono tenendo fissa la variabile<Emphasis Type="Italic">t</Emphasis>, ma con un contributo supplementare al canale<Emphasis Type="Italic">t</Emphasis>. Un’interessante applicazione consiste nell’ottenere relazioni di dispersione generalizzate (per onde parziali) per lo scattering elastico pione-nucleone, nel quale il contributo dei tagli a sinistra viene rappresentato esplicitamente nei canali incrociati da una serie convergente di onde parziali.</Para></Abstract><Abstract ID="Abs3" Language="--"><Heading>Реэюме</Heading><Para>Пересмотрев обычно испольэуемые дисперсионные соотнощения, про-водится систематическое исследование наиболее обобшенных дисперсионных соотно-щений на параметриэованных кривых в плоскости Манделстама для<Emphasis Type="Italic">s-u</Emphasis> кроссинг-симметрич ных амплитуд, с целью получения дисперсионных соотнощений, которые воспринимают вклады от всех трех каналов. Однако в зтом случае требуется энание абсорбционных частей только в областях внутри раэличных зллипсов Лемана. Кроме того, мы требуем, утобы дисперсионные соотнощения не имели вкладов от кинематических сингулярностей, воэникаюших от параметриэации, и чтобы они давали воэможность проиэводить парциальное проектирование относительно простым обраэом. Получается, что дисперсионные соотнощения на гиперболических кривых в плоскости Манделстама преставляют естественное рещение проблемы. Дисперсион-ные соотнощения эаписываются в очень простой форме, аналогично обычному дисперсионному соотнощению при фиксированном<Emphasis Type="Italic">t</Emphasis>, но с дополнительным вкладом<Emphasis Type="Italic">t</Emphasis> канала. Как применение зтого подхода, мы выводим обобшенные парциальные дисперсионные соотнощения для упругого пион-нуклонного рассеяния, где вклад левостороннего раэреэа явно выражается череэ сходяшийся парциальный ряд в перекрестных каналах.</Para></Abstract><ArticleNote Type="Misc"><SimplePara>To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.</SimplePara></ArticleNote></ArticleHeader><NoBody></NoBody></Article></Issue></Volume></Journal></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>New dispersion relations and their application to partial-wave amplitudes</title></titleInfo><titleInfo type="alternative" contentType="CDATA" lang="en"><title>New dispersion relations and their application to partial-wave amplitudes</title></titleInfo><titleInfo lang="--"><title>Новые дисперсионные соотнощения и их применение к парциальным амплитудам</title></titleInfo><titleInfo type="alternative" contentType="CDATA" lang="--"><title>Новые дисперсионные соотнощения и их применение к парциальным амплитудам</title></titleInfo><name type="personal"><namePart type="given">G.</namePart><namePart type="given">E.</namePart><namePart type="family">Hite</namePart><affiliation>Fachbereich Physik, Universität Trier-Kaiserslautern, Kaiserslautern</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">F.</namePart><namePart type="family">Steiner</namePart><affiliation>CERN, Geneva</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="OriginalPaper"></genre><originInfo><publisher>Società Italiana di Fisica</publisher><place><placeTerm type="text">Bologna</placeTerm></place><dateCreated encoding="w3cdtf">1972-12-21</dateCreated><dateIssued encoding="w3cdtf">1973-11-01</dateIssued><copyrightDate encoding="w3cdtf">1973</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><physicalDescription><internetMediaType>text/html</internetMediaType></physicalDescription><abstract lang="en">Summary: After reviewing the commonly used dispersion relations, a systematic investigation of more generalized dispersion relations on parametrized curves in the Mandelstam plane fors-u crossing-symmetric amplitudes is made with the aim of obtaining dispersion relations which receive contributions from all three channels, however, in such a way that knowledge of the absorptive parts is only required in regions well inside the various Lehmann ellipses. In addition we require that the dispersion relations receive no contributions from kinematic singularities arising from the parametrization and that they allow partial-wave projections to be made in a relatively simple manner. It is found that dispersion relations on hyperbolic curves in the Mandelstam plane are a natural solution of the problem. The dispersion relations are written in a remarkably simple form similar to the usual fixed-t dispersion relation but with an additionalt-channel contribution. As an interesting application, we derive generalized partial-wave dispersion relations for elastic pion-nucleon scattering, where the left-hand cut contribution is explicitly given by convergent partial-wave series in the crossed channels.</abstract><abstract lang="it">Riassunto: Dopo avere riesaminato le relazioni di dispersione comunemente impiegate, si studiano relazioni di dispersione più generalizzate, definite su curve parametrizzate nel piano di Mandelstam, per le ampiezzes-u a simmetria incrociata, con lo scopo di ottenere relazioni di dispersione che ricevano contributi da tutti e tre i canali; tuttavia, in tal modo, la conoscenza delle parti che determinano l’assorbimento è richiesta soltanto in regioni completamente interne alle varie ellissi di Lehmann. Inoltre si richiede che le relazioni di dispersione non ricevano contributi da singolarità cinematiche derivanti dalla parametrizzazione e che consentano di effettuare in un modo relativamente semplice proiezioni di onde parziali. Si trova che relazioni di dispersione definite su curve iperboliche nel piano di Mandelstam rappresentano una soluzione naturale del problema. Le relazioni di dispersione sono rappresentate in una forma notevolmente semplice, simile a quella delle consuete relazioni di dispersione che si ottengono tenendo fissa la variabilet, ma con un contributo supplementare al canalet. Un’interessante applicazione consiste nell’ottenere relazioni di dispersione generalizzate (per onde parziali) per lo scattering elastico pione-nucleone, nel quale il contributo dei tagli a sinistra viene rappresentato esplicitamente nei canali incrociati da una serie convergente di onde parziali.</abstract><abstract lang="--">Реэюме: Пересмотрев обычно испольэуемые дисперсионные соотнощения, про-водится систематическое исследование наиболее обобшенных дисперсионных соотно-щений на параметриэованных кривых в плоскости Манделстама дляs-u кроссинг-симметрич ных амплитуд, с целью получения дисперсионных соотнощений, которые воспринимают вклады от всех трех каналов. Однако в зтом случае требуется энание абсорбционных частей только в областях внутри раэличных зллипсов Лемана. Кроме того, мы требуем, утобы дисперсионные соотнощения не имели вкладов от кинематических сингулярностей, воэникаюших от параметриэации, и чтобы они давали воэможность проиэводить парциальное проектирование относительно простым обраэом. Получается, что дисперсионные соотнощения на гиперболических кривых в плоскости Манделстама преставляют естественное рещение проблемы. Дисперсион-ные соотнощения эаписываются в очень простой форме, аналогично обычному дисперсионному соотнощению при фиксированномt, но с дополнительным вкладомt канала. Как применение зтого подхода, мы выводим обобшенные парциальные дисперсионные соотнощения для упругого пион-нуклонного рассеяния, где вклад левостороннего раэреэа явно выражается череэ сходяшийся парциальный ряд в перекрестных каналах.</abstract><relatedItem type="host"><titleInfo><title>Il Nuovo Cimento A Series 11</title></titleInfo><titleInfo type="abbreviated"><title>Nuov Cim A</title></titleInfo><genre type="journal" displayLabel="Archive Journal"></genre><originInfo><dateIssued encoding="w3cdtf">1973-11-01</dateIssued><copyrightDate encoding="w3cdtf">1973</copyrightDate></originInfo><subject><genre>Journal-Subject-Group</genre><topic authority="SpringerSubjectCodes" authorityURI="P">Physics</topic><topic authority="SpringerSubjectCodes" authorityURI="P00002">Physics, general</topic></subject><identifier type="ISSN">0369-3546</identifier><identifier type="eISSN">1826-9869</identifier><identifier type="JournalID">11539</identifier><identifier type="IssueArticleCount">11</identifier><identifier type="VolumeIssueCount">4</identifier><part><date>1973</date><detail type="volume"><number>18</number><caption>vol.</caption></detail><detail type="issue"><number>2</number><caption>no.</caption></detail><extent unit="pages"><start>237</start><end>270</end></extent></part><recordInfo><recordOrigin>Società Italiana di Fisica, 1973</recordOrigin></recordInfo></relatedItem><identifier type="istex">2F70572505382BAE5D1DDE5D94D1437ADF502A96</identifier><identifier type="DOI">10.1007/BF02722827</identifier><identifier type="ArticleID">BF02722827</identifier><identifier type="ArticleID">Art4</identifier><accessCondition type="use and reproduction" contentType="copyright">Società Italiana di Fisica, 1973</accessCondition><recordInfo><recordContentSource>SPRINGER</recordContentSource><recordOrigin>Società Italiana di Fisica, 1973</recordOrigin></recordInfo></mods></metadata><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
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