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 behavior.
On the off-shell continuation of the physical transition operators
CATTAPAN, GIORGIO;
1977
Abstract
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 behavior.File in questo prodotto:
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