dorsal/arxiv
View SchemaTowards a Unified Description of the Baryon Spectrum and the Baryon-Baryon Interaction within a Potential Model Scheme
| Authors | A. Valcarce, F. Fernandez, P. Gonzalez, V. Vento |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9510018 |
| URL | https://arxiv.org/abs/nucl-th/9510018 |
| Journal | Few Body Syst.Suppl.8:340-344,1995 |
Abstract
We study the low energy part of the nucleon and $\Delta$ spectra by solving the Schr\"{o}dinger equation for the three-quark system in the hyperspherical harmonic approach. The quark-quark hamiltonian considered includes, besides the usual one-gluon exchange, pion and sigma exchanges generated by the chiral symmetry breaking. This quark-quark potential reproduces, in a Resonating Group Method calculation, the nucleon-nucleon scattering phase shifts and the deuteron properties. The baryonic spectrum obtained is quite reasonable and the resulting wave function is consistent with the ansatz used in the two baryon system.
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"abstract": "We study the low energy part of the nucleon and $\\Delta$ spectra by solving\nthe Schr\\\"{o}dinger equation for the three-quark system in the hyperspherical\nharmonic approach. The quark-quark hamiltonian considered includes, besides the\nusual one-gluon exchange, pion and sigma exchanges generated by the chiral\nsymmetry breaking. This quark-quark potential reproduces, in a Resonating Group\nMethod calculation, the nucleon-nucleon scattering phase shifts and the\ndeuteron properties. The baryonic spectrum obtained is quite reasonable and the\nresulting wave function is consistent with the ansatz used in the two baryon\nsystem.",
"arxiv_id": "nucl-th/9510018",
"authors": [
"A. Valcarce",
"F. Fernandez",
"P. Gonzalez",
"V. Vento"
],
"categories": [
"nucl-th"
],
"journal_ref": "Few Body Syst.Suppl.8:340-344,1995",
"title": "Towards a Unified Description of the Baryon Spectrum and the Baryon-Baryon Interaction within a Potential Model Scheme",
"url": "https://arxiv.org/abs/nucl-th/9510018"
},
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