dorsal/arxiv
View SchemaStudy of a possible S=+1 dynamically generated baryonic resonance
| Authors | Sourav Sarkar, E. Oset, M. J. Vicente Vacas |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0404023 |
| URL | https://arxiv.org/abs/nucl-th/0404023 |
| DOI | 10.1140/epja/i2005-10006-6 |
| Journal | Eur.Phys.J.A24:287-292,2005 |
Abstract
Starting from the lowest order chiral Lagrangian for the interaction of the baryon decuplet with the octet of pseudoscalar mesons we find an attractive interaction in the $\Delta K$ channel with L=0 and I=1, while the interaction is repulsive for I=2. The attractive interaction leads to a pole in the second Riemann sheet of the complex plane and manifests itself in a large strength of the $\Delta K$ scattering amplitude close to the $\Delta K$ threshold, which is not the case for I=2. However, we also make a study of uncertainties in the model and conclude that the existence of this pole depends sensitively upon the input used and can disappear within reasonable variations of the input parameters. We take advantage to study the stability of the other poles obtained for the ${3/2}^-$ dynamically generated resonances of the model and conclude that they are stable and not contingent to reasonable changes in the input of the theory.
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"abstract": "Starting from the lowest order chiral Lagrangian for the interaction of the\nbaryon decuplet with the octet of pseudoscalar mesons we find an attractive\ninteraction in the $\\Delta K$ channel with L=0 and I=1, while the interaction\nis repulsive for I=2. The attractive interaction leads to a pole in the second\nRiemann sheet of the complex plane and manifests itself in a large strength of\nthe $\\Delta K$ scattering amplitude close to the $\\Delta K$ threshold, which is\nnot the case for I=2. However, we also make a study of uncertainties in the\nmodel and conclude that the existence of this pole depends sensitively upon the\ninput used and can disappear within reasonable variations of the input\nparameters. We take advantage to study the stability of the other poles\nobtained for the ${3/2}^-$ dynamically generated resonances of the model and\nconclude that they are stable and not contingent to reasonable changes in the\ninput of the theory.",
"arxiv_id": "nucl-th/0404023",
"authors": [
"Sourav Sarkar",
"E. Oset",
"M. J. Vicente Vacas"
],
"categories": [
"nucl-th"
],
"doi": "10.1140/epja/i2005-10006-6",
"journal_ref": "Eur.Phys.J.A24:287-292,2005",
"title": "Study of a possible S=+1 dynamically generated baryonic resonance",
"url": "https://arxiv.org/abs/nucl-th/0404023"
},
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