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

TL;DR

This paper develops a unified SU6 quark model for baryon-baryon interactions, reproduces experimental data, and applies it to light nuclear systems, providing insights into hypernuclei and few-baryon systems.

Contribution

It introduces a comprehensive SU6 quark model with coupled-channels RGM framework, successfully reproducing NN and YN interactions and applying them to hypernuclei and light nuclear systems.

Findings

Reproduces NN phase shifts and hyperon-nucleon cross sections.

Predicts sufficient triton binding energy without three-nucleon force.

Consistent description of hypernuclei energy spectra and small spin-orbit splittings.

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.