The piNNN--NNN problem. Connectedness, transition amplitudes and quasi-particle approximation

Details The piNNN--NNN problem. Connectedness, transition amplitudes and quasi-particle approximation The piNNN--NNN problem. Connectedness, transition amplitudes and quasi-particle approximation

1997-06-03

arxiv.org/abs/nucl-th/9706011v1

Phys.Rev.C56:689-701,1997

Physics

Nuclear Physics

Nuclear Theory

38 pages, REVTeX, including 7 figs. (PRC, to be published)

Scientific paper

10.1103/PhysRevC.56.689

In this paper we review the present status of the piNNN--NNN problem. In particular, we re-consider the chain-labelled approach recently proposed by us, and identify a class of graphs, previously overlooked, which prevents the kernel of the corresponding piNNN--NNN equations from being connected. We propose some pproximate schemes, yielding connected-kernel equations. A generalization of the residue method allows to relate the transition amplitudes for the coupled piNNN--NNN system to the chain-labelled formalism. The quasi-particle approach is extended to the present situation, where emission/absorption of particles is allowed. The open problems for the piNNN--NNN system in the light of the present and of previous approaches are finally discussed.

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