Connected kernel equations for the coupled πNNN-NNN systems

Y. Avishai, T. Mizutani

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


Starting from a realistic hamiltonian describing the system of three nucleons and a pion, we have derived for the first time a set of integral equations for the coupled πNNN-NNN system. Specifically, the disconnected structure originating from the explicit consideration of the absorption and emission of the pion by nucleons, which is outside the scope of the ordinary many-body potential scattering theories, has been carefully studied. The final equations thus found, have connected kernels, respect time-reversal invariance and should allow one to study various processes like 3He-π± elastic scattering, pd → 3He-π-, pd → NNN etc. in a unified and unitary manner.

Original languageEnglish
Pages (from-to)429-468
Number of pages40
JournalNuclear Physics A
Issue number3
StatePublished - 7 Feb 1983


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