dorsal/arxiv
View SchemaDynamical coupled-channel model of kaon-hyperon interactions
| Authors | Wen-Tai Chiang, B. Saghai, F. Tabakin, T. -S. H. Lee |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0404062 |
| URL | https://arxiv.org/abs/nucl-th/0404062 |
| DOI | 10.1103/PhysRevC.69.065208 |
| Journal | Phys.Rev. C69 (2004) 065208 |
Abstract
The pi N --> KY and KY --> KY reactions are studied using a dynamical coupled-channel model of meson-baryon interactions at energies where the baryon resonances are strongly excited. The channels included are: pi N, K \Lambda, and K\Sigma. The resonances considered are: N^* [S_{11}(1650), P_{11}(1710), P_{13}(1720),D_{13}(1700)]; \Delta^* [S_{31}(1900), P_{31}(1910), P_{33}(1920)]; \Lambda ^* [S_{01}(1670), P_{01}(1810)] \Sigma^* [P_{11}(1660), D_{13}(1670)]; and K^*(892). The basic non-resonant \pi N --> KY and KY --> KY transition potentials are derived from effective Lagrangians using a unitary transformation method. The dynamical coupled-channel equations are simplified by parametrizing the pi N -->pi N amplitudes in terms of empirical pi N partial-wave amplitudes and a phenomenological off-shell function. Two models have been constructed. Model A is built by fixing all coupling constants and resonance parameters using SU(3) symmetry, the Particle Data Group values, and results from a constituent quark model. Model B is obtained by allowing most of the parameters to vary around the values of model A in fitting the data. Good fits to the available data for pi^- p to K^0 \Lambda, K^0 \Sigma^0 have been achieved. The investigated kinematics region in the center-of-mass frame goes from threshold to 2.5 GeV. The constructed models can be imbedded into associated dynamical coupled-channel studies of kaon photo- and electro-production reactions.
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"abstract": "The pi N --\u003e KY and KY --\u003e KY reactions are studied using a dynamical\ncoupled-channel model of meson-baryon interactions at energies where the baryon\nresonances are strongly excited. The channels included are: pi N, K \\Lambda,\nand K\\Sigma. The resonances considered are: N^* [S_{11}(1650), P_{11}(1710),\nP_{13}(1720),D_{13}(1700)]; \\Delta^* [S_{31}(1900), P_{31}(1910),\nP_{33}(1920)]; \\Lambda ^* [S_{01}(1670), P_{01}(1810)] \\Sigma^* [P_{11}(1660),\nD_{13}(1670)]; and K^*(892). The basic non-resonant \\pi N --\u003e KY and KY --\u003e KY\ntransition potentials are derived from effective Lagrangians using a unitary\ntransformation method. The dynamical coupled-channel equations are simplified\nby parametrizing the pi N --\u003epi N amplitudes in terms of empirical pi N\npartial-wave amplitudes and a phenomenological off-shell function. Two models\nhave been constructed. Model A is built by fixing all coupling constants and\nresonance parameters using SU(3) symmetry, the Particle Data Group values, and\nresults from a constituent quark model. Model B is obtained by allowing most of\nthe parameters to vary around the values of model A in fitting the data. Good\nfits to the available data for pi^- p to K^0 \\Lambda, K^0 \\Sigma^0 have been\nachieved. The investigated kinematics region in the center-of-mass frame goes\nfrom threshold to 2.5 GeV. The constructed models can be imbedded into\nassociated dynamical coupled-channel studies of kaon photo- and\nelectro-production reactions.",
"arxiv_id": "nucl-th/0404062",
"authors": [
"Wen-Tai Chiang",
"B. Saghai",
"F. Tabakin",
"T. -S. H. Lee"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.69.065208",
"journal_ref": "Phys.Rev. C69 (2004) 065208",
"title": "Dynamical coupled-channel model of kaon-hyperon interactions",
"url": "https://arxiv.org/abs/nucl-th/0404062"
},
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