Nonleptonic Hyperon Decay in the Quark Model

Abstract

Nonleptonic hyperon and Ω- decays are discussed in the nonrelativistic quark model and the SU(6) theory, where we consider the pole diagram for quark, the four-body weak current-current interaction J12J31 and the meson exchange interaction. We assume two models, and can explain the experiments for parity-violating and parity-conserving amplitudes of nonleptonic hyperon decays. In particular the ΔI = 1/2 rule is derived, though the weak current-current interaction J12J31 does not satisfy ΔI = 1/2. As to the decay of Ω- two models predict the different ratio of Γ(Ω → Λ + K) and Γ(Ω → Ξ + Π). One is consistent with experiment, the other forbids Ω → Λ + K.