dorsal/arxiv
View SchemaDynamical generation of $J^P=3/2-$ resonances and the $\Lambda(1520)$ resonance
| Authors | Sourav Sarkar, L. Roca, E. Oset, V. K. Magas, M. J. Vicente Vacas |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0511062 |
| URL | https://arxiv.org/abs/nucl-th/0511062 |
| DOI | 10.1142/9789812773333_0023 |
Abstract
The lowest order chiral Lagrangian is used to study s-wave interactions of the baryon decuplet with the octet of pseudoscalar mesons. The coupled channel Bethe Salpeter equation is used to obtain dynamically generated $\tfrac{3}{2}^-$ resonances in the partial wave amplitudes which provide a reasonable description to a number of 3 and 4-star resonances like $\Delta(1700)$, $\Lambda(1520)$, $\Sigma(1670)$, $\Sigma(1940)$, $\Xi(1820)$, $\Omega(2250)$ etc. The phenomenological introduction of d-wave channels in the coupled channel scheme along with the existing s-wave channels is shown to provide a much improved description of the $\Lambda(1520)$ resonance. The prediction of the absolute strength of the cross section in the reactions $K^-p\to\Lambda\pi^0\pi^0$ and $K^-p\to\Lambda\pi^+\pi^-$ provided by this scheme shows a good agreement with existing data.
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"abstract": "The lowest order chiral Lagrangian is used to study s-wave interactions of\nthe baryon decuplet with the octet of pseudoscalar mesons. The coupled channel\nBethe Salpeter equation is used to obtain dynamically generated\n$\\tfrac{3}{2}^-$ resonances in the partial wave amplitudes which provide a\nreasonable description to a number of 3 and 4-star resonances like\n$\\Delta(1700)$, $\\Lambda(1520)$, $\\Sigma(1670)$, $\\Sigma(1940)$, $\\Xi(1820)$,\n$\\Omega(2250)$ etc. The phenomenological introduction of d-wave channels in the\ncoupled channel scheme along with the existing s-wave channels is shown to\nprovide a much improved description of the $\\Lambda(1520)$ resonance. The\nprediction of the absolute strength of the cross section in the reactions\n$K^-p\\to\\Lambda\\pi^0\\pi^0$ and $K^-p\\to\\Lambda\\pi^+\\pi^-$ provided by this\nscheme shows a good agreement with existing data.",
"arxiv_id": "nucl-th/0511062",
"authors": [
"Sourav Sarkar",
"L. Roca",
"E. Oset",
"V. K. Magas",
"M. J. Vicente Vacas"
],
"categories": [
"nucl-th"
],
"doi": "10.1142/9789812773333_0023",
"title": "Dynamical generation of $J^P=3/2-$ resonances and the $\\Lambda(1520)$ resonance",
"url": "https://arxiv.org/abs/nucl-th/0511062"
},
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