dorsal/arxiv
View SchemaBaryonic Resonances from Baryon Decuplet-Meson Octet Interaction
| Authors | Sourav Sarkar, E. Oset, M. J. Vicente Vacas |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0407025 |
| URL | https://arxiv.org/abs/nucl-th/0407025 |
| DOI | 10.1016/j.nuclphysa.2005.01.006 |
| Journal | Nucl.Phys.A750:294-323,2005; Erratum-ibid.A780:78-89,2006 |
Abstract
We study $S$-wave interactions of the baryon decuplet with the octet of pseudoscalar mesons using the lowest order chiral Lagrangian. In the S=1 sector, we find an attractive interaction in the $\Delta K$ channel with I=1 while it is repulsive for I=2. The attractive interaction leads to a pole in the second Riemann sheet of the complex plane and is manifested as a large strength in the scattering amplitude close to the $\Delta K$ threshold, which is not the case for I=2. We use the unitarized coupled channel approach to also investigate all the other possible values of strangeness and isospin. 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. In the S=1\nsector, we find an attractive interaction in the $\\Delta K$ channel with I=1\nwhile it is repulsive for I=2. The attractive interaction leads to a pole in\nthe second Riemann sheet of the complex plane and is manifested as a large\nstrength in the scattering amplitude close to the $\\Delta K$ threshold, which\nis not the case for I=2.\n We use the unitarized coupled channel approach to also investigate all the\nother possible values of strangeness and isospin. We find two bound states in\nthe SU(3) limit corresponding to the octet and decuplet representations. These\nare found to split into eight different trajectories in the complex plane when\nthe SU(3) symmetry is broken gradually. Finally, we are able to provide a\nreasonable description for a good number of 4-star ${{3/2}}^-$ resonances\nlisted by the Particle Data Group. In particular, the $\\Xi(1820)$, the\n$\\Lambda(1520)$ and the $\\Sigma(1670)$ states are well reproduced. We predict a\nfew other resonances and also evaluate the couplings of the observed resonances\nto the various channels from the residues at the poles of the scattering matrix\nfrom where partial decay widths into different channels can be evaluated.",
"arxiv_id": "nucl-th/0407025",
"authors": [
"Sourav Sarkar",
"E. Oset",
"M. J. Vicente Vacas"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.nuclphysa.2005.01.006",
"journal_ref": "Nucl.Phys.A750:294-323,2005; Erratum-ibid.A780:78-89,2006",
"title": "Baryonic Resonances from Baryon Decuplet-Meson Octet Interaction",
"url": "https://arxiv.org/abs/nucl-th/0407025"
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