dorsal/arxiv
View SchemaBaryonic Resonances from the Interactions of the Baryon Decuplet and Meson Octet
| Authors | E. Oset, S. Sarkar, M. J. Vicente Vacas |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0512092 |
| URL | https://arxiv.org/abs/nucl-th/0512092 |
| DOI | 10.1063/1.2176487 |
| Journal | AIP Conf.Proc.814:247-251,2006 |
Abstract
We study $S$-wave interactions of the baryon decuplet with the octet of pseudoscalar mesons using the lowest order chiral Lagrangian. We find two bound states in the SU(3) limit corresponding to the octet and decuplet representations. These are found to split into eight different trajectories in the complex plane when the SU(3) symmetry is broken gradually. Finally, we are able to provide a reasonable description for a good number of 4-star ${{3/2}}^-$ resonances listed by the Particle Data Group. In particular, the $\Xi(1820)$, the $\Lambda(1520)$ and the $\Sigma(1670)$ states are well reproduced. We predict a few other resonances and also evaluate the couplings of the observed resonances to the various channels from the residues at the poles of the scattering matrix from where partial decay widths into different channels can be evaluated.
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"abstract": "We study $S$-wave interactions of the baryon decuplet with the octet of\npseudoscalar mesons using the lowest order chiral Lagrangian. We find two bound\nstates in the SU(3) limit corresponding to the octet and decuplet\nrepresentations. These are found to split into eight different trajectories in\nthe complex plane when the SU(3) symmetry is broken gradually. Finally, we are\nable to provide a reasonable description for a good number of 4-star\n${{3/2}}^-$ resonances listed by the Particle Data Group. In particular, the\n$\\Xi(1820)$, the $\\Lambda(1520)$ and the $\\Sigma(1670)$ states are well\nreproduced. We predict a few other resonances and also evaluate the couplings\nof the observed resonances to the various channels from the residues at the\npoles of the scattering matrix from where partial decay widths into different\nchannels can be evaluated.",
"arxiv_id": "nucl-th/0512092",
"authors": [
"E. Oset",
"S. Sarkar",
"M. J. Vicente Vacas"
],
"categories": [
"nucl-th"
],
"doi": "10.1063/1.2176487",
"journal_ref": "AIP Conf.Proc.814:247-251,2006",
"title": "Baryonic Resonances from the Interactions of the Baryon Decuplet and Meson Octet",
"url": "https://arxiv.org/abs/nucl-th/0512092"
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