dorsal/arxiv
View SchemaThe piNNN--NNN problem. Connectedness, transition amplitudes and quasi-particle approximation
| Authors | Giorgio Cattapan, Luciano Canton |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9706011 |
| URL | https://arxiv.org/abs/nucl-th/9706011 |
| DOI | 10.1103/PhysRevC.56.689 |
| Journal | Phys.Rev.C56:689-701,1997 |
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.
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"abstract": "In this paper we review the present status of the piNNN--NNN problem. In\nparticular, we re-consider the chain-labelled approach recently proposed by us,\nand identify a class of graphs, previously overlooked, which prevents the\nkernel of the corresponding piNNN--NNN equations from being connected. We\npropose some pproximate schemes, yielding connected-kernel equations. A\ngeneralization of the residue method allows to relate the transition amplitudes\nfor the coupled piNNN--NNN system to the chain-labelled formalism. The\nquasi-particle approach is extended to the present situation, where\nemission/absorption of particles is allowed. The open problems for the\npiNNN--NNN system in the light of the present and of previous approaches are\nfinally discussed.",
"arxiv_id": "nucl-th/9706011",
"authors": [
"Giorgio Cattapan",
"Luciano Canton"
],
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],
"doi": "10.1103/PhysRevC.56.689",
"journal_ref": "Phys.Rev.C56:689-701,1997",
"title": "The piNNN--NNN problem. Connectedness, transition amplitudes and quasi-particle approximation",
"url": "https://arxiv.org/abs/nucl-th/9706011"
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