dorsal/arxiv
View SchemaSolution of the Bethe-Salpeter equation for pion-nucleon scattering
| Authors | A. D. Lahiff, I. R. Afnan |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9903058 |
| URL | https://arxiv.org/abs/nucl-th/9903058 |
| DOI | 10.1103/PhysRevC.60.024608 |
| Journal | Phys.Rev. C60 (1999) 024608 |
Abstract
A relativistic description of pion-nucleon scattering based on the four-dimensional Bethe-Salpeter equation is presented. The kernel of the equation consists of s- and u-channel nucleon and delta pole diagrams, as well as rho and sigma exchange in the t-channel. The Bethe-Salpeter equation is solved by means of a Wick rotation, and good fits are obtained to the s- and p-wave phase shifts up to 360 MeV pion laboratory energy. The coupling constants determined by the fits are consistent with the commonly accepted values in the literature.
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"abstract": "A relativistic description of pion-nucleon scattering based on the\nfour-dimensional Bethe-Salpeter equation is presented. The kernel of the\nequation consists of s- and u-channel nucleon and delta pole diagrams, as well\nas rho and sigma exchange in the t-channel. The Bethe-Salpeter equation is\nsolved by means of a Wick rotation, and good fits are obtained to the s- and\np-wave phase shifts up to 360 MeV pion laboratory energy. The coupling\nconstants determined by the fits are consistent with the commonly accepted\nvalues in the literature.",
"arxiv_id": "nucl-th/9903058",
"authors": [
"A. D. Lahiff",
"I. R. Afnan"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.60.024608",
"journal_ref": "Phys.Rev. C60 (1999) 024608",
"title": "Solution of the Bethe-Salpeter equation for pion-nucleon scattering",
"url": "https://arxiv.org/abs/nucl-th/9903058"
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