The pi N N N - N N N problem. Connectedness, transition amplitudes and quasiparticle approximation
- ,
- L. Canton()
- INFN, Padua and
- Padua U.
28 pages
Published in:
- Phys.Rev.C 56 (1997) 689-701
e-Print:
- nucl-th/9706011 [nucl-th]
Report number:
- DFPD-97-TH-17
Citations per year
Abstract:
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.- nuclear physics
- many-body problem: (3nucleon pi)
- Feynman graph
- scattering amplitude: transition
- approximation: pseudoparticle
- Lippmann-Schwinger equation: coupled channel
- integral equations
- quantum mechanics: wave function
- pi nucleus: nuclear reaction
- tritium
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