dorsal/arxiv
View SchemaBaryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems
| Authors | Y. Fujiwara, Y. Suzuki, C. Nakamoto |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0607013 |
| URL | https://arxiv.org/abs/nucl-th/0607013 |
| DOI | 10.1016/j.ppnp.2006.08.001 |
| Journal | Prog.Part.Nucl.Phys.58:439-520,2007 |
Abstract
Interactions between the octet-baryons (B8) in the spin-flavor SU6 quark model are investigated in a unified coupled-channels framework of the resonating-group method (RGM). The interaction Hamiltonian for quarks consists of the phenomenological confinement potential, the color Fermi-Breit interaction with explicit flavor-symmetry breaking (FSB), and effective-meson exchange potentials of scalar-, pseudoscalar- and vector-meson types. The model parameters are determined to reproduce the properties of the nucleon-nucleon (NN) system and the low-energy cross section data for the hyperon-nucleon (YN) interactions. The NN phase shifts and many observables for the NN and YN interactions are nicely reproduced. Properties of these B8 B8 interactions are analyzed through the G-matrix calculations. The B8 B8 interactions are then applied to some of few-baryon systems and light Lambda-hypernuclei in a three-cluster Faddeev formalism using two-cluster RGM kernels. An application to the three-nucleon system shows that the quark-model NN interaction can give a sufficient triton binding energy with little room for the three-nucleon force. The hypertriton Faddeev calculation indicates that the attraction of the Lambda N interaction in the 1S0 state is only slightly more attractive than that in the 3S1 state. In the application to the alpha alpha Lambda system, the energy spectrum of 9 Lambda Be is well reproduced using the alpha alpha RGM kernel. The very small spin-orbit splitting of the 9 Lambda Be excited states is also discussed. In the Lambda Lambda alpha Faddeev calculation, the NAGARA event for 6 Lambda Lambda He is found to be consistent with the quark-model Lambda Lambda interaction.
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"abstract": "Interactions between the octet-baryons (B8) in the spin-flavor SU6 quark\nmodel are investigated in a unified coupled-channels framework of the\nresonating-group method (RGM). The interaction Hamiltonian for quarks consists\nof the phenomenological confinement potential, the color Fermi-Breit\ninteraction with explicit flavor-symmetry breaking (FSB), and effective-meson\nexchange potentials of scalar-, pseudoscalar- and vector-meson types. The model\nparameters are determined to reproduce the properties of the nucleon-nucleon\n(NN) system and the low-energy cross section data for the hyperon-nucleon (YN)\ninteractions. The NN phase shifts and many observables for the NN and YN\ninteractions are nicely reproduced. Properties of these B8 B8 interactions are\nanalyzed through the G-matrix calculations. The B8 B8 interactions are then\napplied to some of few-baryon systems and light Lambda-hypernuclei in a\nthree-cluster Faddeev formalism using two-cluster RGM kernels. An application\nto the three-nucleon system shows that the quark-model NN interaction can give\na sufficient triton binding energy with little room for the three-nucleon\nforce. The hypertriton Faddeev calculation indicates that the attraction of the\nLambda N interaction in the 1S0 state is only slightly more attractive than\nthat in the 3S1 state. In the application to the alpha alpha Lambda system, the\nenergy spectrum of 9 Lambda Be is well reproduced using the alpha alpha RGM\nkernel. The very small spin-orbit splitting of the 9 Lambda Be excited states\nis also discussed. In the Lambda Lambda alpha Faddeev calculation, the NAGARA\nevent for 6 Lambda Lambda He is found to be consistent with the quark-model\nLambda Lambda interaction.",
"arxiv_id": "nucl-th/0607013",
"authors": [
"Y. Fujiwara",
"Y. Suzuki",
"C. Nakamoto"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.ppnp.2006.08.001",
"journal_ref": "Prog.Part.Nucl.Phys.58:439-520,2007",
"title": "Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems",
"url": "https://arxiv.org/abs/nucl-th/0607013"
},
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