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

By Y. Fujiwara, Y. Suzuki, C. N. N. University, Niigata University, Suzuka National College of Technology. 2006

170 citations recorded by the source corpus.

Abstract Interactions between the octet-baryons ( B 8 ) in the spin–flavor S U 6 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 interactions. Mainly due to the introduction of the vector mesons, the NN phase shifts at non-relativistic energies up to T lab = 350 MeV are greatly improved in comparison with the previous quark-model NN interactions. The deuteron properties and the low-energy observables of the B 8 B 8 interactions, including the inelastic capture ratio at rest for the Σ − p scattering, are examined in the particle basis with the pion-Coulomb correction. The nuclear saturation properties and the single-particle (s.p.) potentials of B 8 in nuclear medium are examined through the G -matrix calculations, using the quark-exchange kernel. The Σ s.p. potential is weakly repulsive in symmetric nuclear matter. The s.p. spin–orbit strength for Λ is very small, due to the strong antisymmetric spin–orbit force generated from the Fermi–Breit interaction. The qualitative behavior of the B 8 B 8 interactions is systematically understood by (1) the spin–flavor S U 6 symmetry of B 8 , (2) the special role of the pion exchange, and (3) the FSB of the underlying quark Hamiltonian. In particular, the B 8 B 8 interaction becomes less attractive according to the increase of strangeness, implying that there exists no B 8 B 8 di-baryon bound state except for the deuteron. The strong Λ N – Σ N coupling results from the important tensor component of the one-pion exchange. The Λ Λ – Ξ N – Σ Σ coupling in the strangeness S = − 2 and isospin I = 0 channel is relatively weak, since this coupling is caused by the strangeness exchange. The B 8 B 8 interactions are then applied to some of the few-baryon systems and light Λ -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 Λ N interaction in the S 0 1 state is only slightly more attractive than that in the S 1 3 state. In the application to the α α Λ system, the energy spectrum of Be Λ 9 is well reproduced using the α α RGM kernel. The very small spin–orbit splitting of the Be Λ 9 excited states is also discussed. In the Λ Λ α Faddeev calculation, the NAGARA event for He Λ Λ 6 is found to be consistent with the quark-model Λ Λ interaction.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a65494130d3e0939f7e2e276af70d7d43a9ac555