Roles of Quark-Pair Correlations in Baryon Structure and Non-Leptonic Weak Transitions of Hyperon

Abstract

Roles of quark-pair correlations in the baryon structure and the hyperon non-leptonic weak decay are studied within the non-relativistic constituent quark model. We construct the SU(3) ground state baryons by solving the three body problem rigorously with the confinement force and the short range spin-dependent attraction. We emphasize the importance of the s = 0 quark-quark correlation to reproduce the ∆I = 1/2 enhancement of the hyperon decay, and demonstrate that resulting static properties as well as the decay amplitudes agree with the experiments, if we deal with the s = 0 correlation properly. Special attention is also put on the consequences of the SU(6) spin-flavor symmetry breaking due to the s = 0 correlation. Calculated magnetic moments are the almost same as the naive SU(6) predictions in spite of the existence of the strong correlations.