dorsal/arxiv
View SchemaThe pion-three-nucleon problem with two-cluster connected-kernel equations
| Authors | L. Canton |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9806061 |
| URL | https://arxiv.org/abs/nucl-th/9806061 |
| DOI | 10.1103/PhysRevC.58.3121 |
| Journal | Phys.Rev.C58:3121-3142,1998 |
Abstract
It is found that the coupled piNNN-NNN system breaks into fragments in a nontrivial way. Assuming the particles as distinguishable, there are indeed four modes of fragmentation into two clusters, while in the standard three-body problem there are three possible two-cluster partitions and conversely the four-body problem has seven different possibilities. It is shown how to formulate the pion-three-nucleon collision problem through the integral-equation approach by taking into account the proper fragmentation of the system. The final result does not depend on the assumption of separability of the two-body t-matrices. Then, the quasiparticle method a' la Grassberger-Sandhas is applied and effective two-cluster connected-kernel equations are obtained. The corresponding bound-state problem is also formulated, and the resulting homogeneous equation provides a new approach which generalizes the commonly used techniques to describe the three-nucleon bound-state problem, where the meson degrees of freedom are usually suppressed.
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"abstract": "It is found that the coupled piNNN-NNN system breaks into fragments in a\nnontrivial way. Assuming the particles as distinguishable, there are indeed\nfour modes of fragmentation into two clusters, while in the standard three-body\nproblem there are three possible two-cluster partitions and conversely the\nfour-body problem has seven different possibilities. It is shown how to\nformulate the pion-three-nucleon collision problem through the\nintegral-equation approach by taking into account the proper fragmentation of\nthe system. The final result does not depend on the assumption of separability\nof the two-body t-matrices. Then, the quasiparticle method a\u0027 la\nGrassberger-Sandhas is applied and effective two-cluster connected-kernel\nequations are obtained. The corresponding bound-state problem is also\nformulated, and the resulting homogeneous equation provides a new approach\nwhich generalizes the commonly used techniques to describe the three-nucleon\nbound-state problem, where the meson degrees of freedom are usually suppressed.",
"arxiv_id": "nucl-th/9806061",
"authors": [
"L. Canton"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.58.3121",
"journal_ref": "Phys.Rev.C58:3121-3142,1998",
"title": "The pion-three-nucleon problem with two-cluster connected-kernel equations",
"url": "https://arxiv.org/abs/nucl-th/9806061"
},
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