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On the off-shell continuation of the physical transition operators

О продолжениях вне массовой поверхности физических операторов переходов

  • Published:
Il Nuovo Cimento A (1971-1996)

Summary

A generalized Gell-Mann-Goldberger formula for many-body symmetric transition operators is derived for arbitrary splittings of the channel external interactions. This exact formula is compared with previous results obtained for asymmetric transition operators. From our Gell-Mann-Goldberger formula we derive uncoupled integral equations with connected kernel for three-body symmetric transition operators. We compare these equations with similar equations obtained for transition operators having a different off-shell behaviour.

Riassunto

Si deriva una formula generalizzata del tipo di Gell-Mann-Goldberger per operatori di transizione simmetrici a molti corpi in corrispondenza a partizioni arbitrarie delle interazioni esterne di canale. Si confronta questa formula esatta con risultati precedentemente ottenuti per operatori di transizione asimmetrici. Dalla formula generalizzata di Gell-Mann-Goldberger si derivano delle equazioni integrali disaccoppiate a kernel connesso per gli operatori di transizione simmetrici a tre corpi. Si confrontano queste equazioni con equazioni simili ottenute per operatori di transizione caratterizzati da un diverso comportamento per valori non fisici dell'energia.

Резюме

Выводится обобщенная формула Гелл-Манна-Голдбергера для многочастичных симметричных операторов переходов для произвольного расщепления внешних взаимодействий между каналами. Эта точная формула сравнивается с предыдущими результатами, полученными для асимметричных операторов переходов. Из нашей формулы Гелл-Манна-Голдбергера мы выводим не связанные интегральные уравнения со связанным ядром для трехчастичных симметричных операторов переходов. Мы сравниваем эти уравнения с аналогичными уравнениями, полученными для операторов переходов, имеющих другое поведение вне массовой поверхности.

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Authors and Affiliations

  1. Istituto di Fisica dell'Università, Padova, Italy

    G. Cattapan & V. Vanzani

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Padova, Italy

    G. Cattapan

  3. Istituto Nazionade di Fisica Nucleare, Laboratori di Legnaro, (Padova), Italy

    V. Vanzani

Authors
  1. G. Cattapan
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  2. V. Vanzani
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Cattapan, G., Vanzani, V. On the off-shell continuation of the physical transition operators. Nuov Cim A 37, 32–44 (1977). https://doi.org/10.1007/BF02790580

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  • DOI: https://doi.org/10.1007/BF02790580

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