dorsal/arxiv
View SchemaChiral Symmetry and s-wave Low-Lying Meson-Baryon Resonances
| Authors | J. Nieves, C. Garcia-Recio, E. Ruiz Arriola, M. J. Vicente Vacas |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0303033 |
| URL | https://arxiv.org/abs/nucl-th/0303033 |
| DOI | 10.1142/9789812705174_0023 |
Abstract
The $s-$wave meson-baryon scattering is analyzed for the isospin-strangeness $I=1/2, S=0$ and $I=0,S=-1$ sectors, in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry. For both sectors, four channels have been considered: $\pi N$, $\eta N$, $K \Lambda$, $K \Sigma$ and $\pi \Sigma$, $\bar K N$, $\eta \Lambda$, $K \Xi$, respectively. The needed two particle irreducible matrix amplitudes are taken from lowest order Chiral Perturbation Theory in a relativistic formalism. There appear undetermined low energy constants, as a consequence of the renormalization of the amplitudes, which are obtained from fits to the available data: elastic $\pi N $ phase-shifts, $\pi^- p \to \eta n$ and $\pi^- p \to K^0 \Lambda$ cross sections and to $\pi\Sigma\to\pi\Sigma$ mass-spectrum, the elastic $\bar K N \to \bar K N$ and $ \bar K N\to \pi \Sigma$ $t$--matrices and to the $ K^- p \to \eta \Lambda$ cross section data. The position and residues of the complex poles in the second Riemann sheet of the scattering amplitude determine masses, widths and branching ratios of the $S_{11}-$ $N$(1535) and $-N$(1650) and $S_{01}-$ $\Lambda$(1405) and $-\Lambda$(1670) resonances, in reasonable agreement with experiment. A good overall description of data, from threshold up to around 2 GeV is achieved despite the fact that three-body channels have not been explicitly included.
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"abstract": "The $s-$wave meson-baryon scattering is analyzed for the isospin-strangeness\n$I=1/2, S=0$ and $I=0,S=-1$ sectors, in a Bethe-Salpeter coupled channel\nformalism incorporating Chiral Symmetry. For both sectors, four channels have\nbeen considered: $\\pi N$, $\\eta N$, $K \\Lambda$, $K \\Sigma$ and $\\pi \\Sigma$,\n$\\bar K N$, $\\eta \\Lambda$, $K \\Xi$, respectively. The needed two particle\nirreducible matrix amplitudes are taken from lowest order Chiral Perturbation\nTheory in a relativistic formalism. There appear undetermined low energy\nconstants, as a consequence of the renormalization of the amplitudes, which are\nobtained from fits to the available data: elastic $\\pi N $ phase-shifts, $\\pi^-\np \\to \\eta n$ and $\\pi^- p \\to K^0 \\Lambda$ cross sections and to\n$\\pi\\Sigma\\to\\pi\\Sigma$ mass-spectrum, the elastic $\\bar K N \\to \\bar K N$ and\n$ \\bar K N\\to \\pi \\Sigma$ $t$--matrices and to the $ K^- p \\to \\eta \\Lambda$\ncross section data. The position and residues of the complex poles in the\nsecond Riemann sheet of the scattering amplitude determine masses, widths and\nbranching ratios of the $S_{11}-$ $N$(1535) and $-N$(1650) and $S_{01}-$\n$\\Lambda$(1405) and $-\\Lambda$(1670) resonances, in reasonable agreement with\nexperiment. A good overall description of data, from threshold up to around 2\nGeV is achieved despite the fact that three-body channels have not been\nexplicitly included.",
"arxiv_id": "nucl-th/0303033",
"authors": [
"J. Nieves",
"C. Garcia-Recio",
"E. Ruiz Arriola",
"M. J. Vicente Vacas"
],
"categories": [
"nucl-th"
],
"doi": "10.1142/9789812705174_0023",
"title": "Chiral Symmetry and s-wave Low-Lying Meson-Baryon Resonances",
"url": "https://arxiv.org/abs/nucl-th/0303033"
},
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