dorsal/arxiv
View SchemaSingle-Particle Spin-Orbit Strengths of the Nucleon and Hyperons by SU6 Quark-Model
| Authors | Y. Fujiwara, M. Kohno, T. Fujita, C. Nakamoto, Y. Suzuki |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9912047 |
| URL | https://arxiv.org/abs/nucl-th/9912047 |
| DOI | 10.1016/S0375-9474(00)00177-9 |
| Journal | Nucl.Phys. A674 (2000) 493-514 |
Abstract
The quark-model hyperon-nucleon interaction suggests an important antisymmetric spin-orbit component. It is generated from a color analogue of the Fermi-Breit interaction dominating in the one-gluon exchange process between quarks. We discuss the strength S_B of the single-particle spin-orbit potential, following the Scheerbaum's prescription. Using the SU6 quark-model baryon-baryon interaction which was recently developed by the Kyoto-Niigata group, we calculate NN, Lambda N and Sigma N G-matrices in symmetric nuclear matter and apply them to estimate the strength S_B. The ratio of S_B to the nucleon strength S_N =~ -40 MeV*fm^5 is (S_Lambda)/(S_N) =~ 1/5 and (S_Sigma)/(S_N) =~ 1/2 in the Born approximation. The G-matrix calculation of the model FSS modifies S_Lambda to (S_Lambda)/(S_N) =~ 1/12. For S_N and S_Sigma, the effect of the short-range correlation is comparatively weak against meson-exchange potentials with a short-range repulsive core. The significant reduction of the Lambda single-particle potential arises from the combined effect of the antisymmetric LS force, the flavor-symmetry breaking originating from the strange to up-down quark-mass difference, as well as the effect of the short-range correlation. The density dependence of S_B is also examined.
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"abstract": "The quark-model hyperon-nucleon interaction suggests an important\nantisymmetric spin-orbit component. It is generated from a color analogue of\nthe Fermi-Breit interaction dominating in the one-gluon exchange process\nbetween quarks. We discuss the strength S_B of the single-particle spin-orbit\npotential, following the Scheerbaum\u0027s prescription. Using the SU6 quark-model\nbaryon-baryon interaction which was recently developed by the Kyoto-Niigata\ngroup, we calculate NN, Lambda N and Sigma N G-matrices in symmetric nuclear\nmatter and apply them to estimate the strength S_B. The ratio of S_B to the\nnucleon strength S_N =~ -40 MeV*fm^5 is (S_Lambda)/(S_N) =~ 1/5 and\n(S_Sigma)/(S_N) =~ 1/2 in the Born approximation. The G-matrix calculation of\nthe model FSS modifies S_Lambda to (S_Lambda)/(S_N) =~ 1/12. For S_N and\nS_Sigma, the effect of the short-range correlation is comparatively weak\nagainst meson-exchange potentials with a short-range repulsive core. The\nsignificant reduction of the Lambda single-particle potential arises from the\ncombined effect of the antisymmetric LS force, the flavor-symmetry breaking\noriginating from the strange to up-down quark-mass difference, as well as the\neffect of the short-range correlation. The density dependence of S_B is also\nexamined.",
"arxiv_id": "nucl-th/9912047",
"authors": [
"Y. Fujiwara",
"M. Kohno",
"T. Fujita",
"C. Nakamoto",
"Y. Suzuki"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(00)00177-9",
"journal_ref": "Nucl.Phys. A674 (2000) 493-514",
"title": "Single-Particle Spin-Orbit Strengths of the Nucleon and Hyperons by SU6 Quark-Model",
"url": "https://arxiv.org/abs/nucl-th/9912047"
},
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