Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems

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.

77 pages, 33 figures, review article to be published in Prog. Part. Nucl. Phys

References in corpus (3)

• Quark-model study of few-baryon systems
• Extended-soft-core Baryon-Baryon Model II. Hyperon-Nucleon Interaction
• Extended-soft-core Baryon-Baryon Model I. Nucleon-Nucleon Scattering (ESC04) Extended-soft-core Baryon-Baryon Model I. Nucleon-Nucleon Scattering (ESC04)

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• $\Lambda NN$ and $\Sigma NN$ systems at threshold
• Strangeness nuclear physics - 2010
• Addendum: Triton and hypertriton binding energies calculated from SU_6 quark-model baryon-baryon interactions
• Localized $N,\Lambda ,\Sigma$, and $\Xi$ Single-Particle Potentials in Finite Nuclei Calculated with $S{U}_6$ Quark-Model Baryon-Baryon Interactions
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• Feasibility of extracting a ${\Sigma }^{-}$ admixture probability in the neutron-rich ${}_{\Lambda }^{10}$Li hypernucleus
• Quark-model Baryon-Baryon Interaction Applied to the Neutron-Deuteron Scattering. I Noyes-Kowalski Approach to the AGS Equations
• Universal Short-Range Repulsion in the Baryon System Originating from the Confinement --Approach in String-Junction Model--
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• $\Sigma$-nuclear spin-orbit coupling from two-pion exchange
• P-wave Lambda N - Sigma N coupling and the spin-orbit splitting of 9 Lambda Be
• Coulomb-assisted ${\mathbf{\Sigma }}^{-}$-nucleus bound states in the ($K^{-}$, ${\pi }^{+}$) reaction
• Equivalent hyperon-nucleon interactions in low-momentum space
• $\pi B_8{B}_8$ and $\sigma B_8{B}_8$ couplings from a chiral quark potential model
• The $\Sigma \Sigma$ interactions in finite-density QCD sum rules
• n alpha Resonating-Group Calculation with a Quark-Model G-Matrix NN Interaction