dorsal/arxiv
View SchemaChiral Dynamics and the $S_{11}(1535)$ Nucleon Resonance
| Authors | N. Kaiser, P. B. Siegel, W. Weise |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9507036 |
| URL | https://arxiv.org/abs/nucl-th/9507036 |
| DOI | 10.1016/0370-2693(95)01203-3 |
| Journal | Phys.Lett. B362 (1995) 23-28 |
Abstract
The $SU(3)$ chiral effective lagrangian at next-to-leading order is applied to the S-wave meson-baryon interaction in the energy range around the $\eta N$ threshold. Potentials are derived from this lagrangian and used in a coupled channel calculation of the $\pi N$, $\eta N$, $K \Lambda$, $K \Sigma$ system in the isospin-$1/2$, $l=0$ partial wave. Using the same parameters as obtained from a fit to the low energy $\overline{K} N$ data it is found that a quasi-bound $K \Sigma$-state is formed, with properties remarkably similar to the $S_{11}(1535)$ nucleon resonance. In particular, we find a large partial decay width into $\eta N$ consistent with the empirical data.
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"abstract": "The $SU(3)$ chiral effective lagrangian at next-to-leading order is applied\nto the S-wave meson-baryon interaction in the energy range around the $\\eta N$\nthreshold. Potentials are derived from this lagrangian and used in a coupled\nchannel calculation of the $\\pi N$, $\\eta N$, $K \\Lambda$, $K \\Sigma$ system in\nthe isospin-$1/2$, $l=0$ partial wave. Using the same parameters as obtained\nfrom a fit to the low energy $\\overline{K} N$ data it is found that a\nquasi-bound $K \\Sigma$-state is formed, with properties remarkably similar to\nthe $S_{11}(1535)$ nucleon resonance. In particular, we find a large partial\ndecay width into $\\eta N$ consistent with the empirical data.",
"arxiv_id": "nucl-th/9507036",
"authors": [
"N. Kaiser",
"P. B. Siegel",
"W. Weise"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0370-2693(95)01203-3",
"journal_ref": "Phys.Lett. B362 (1995) 23-28",
"title": "Chiral Dynamics and the $S_{11}(1535)$ Nucleon Resonance",
"url": "https://arxiv.org/abs/nucl-th/9507036"
},
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