Rare $\Omega^{-} \to \Xi(1530)^{0} \pi^-$ decay in the Skyrme model

Abstract

Rare nonleptonic $\Omega^{-} \to \Xi(1530)^{0} \pi^-$ decay branching ratio is estimated by means of the QCD enhanced effective weak Hamiltonian supplemented by the SU(3) Skyrme model used to estimate the nonperturbative matrix elements. The whole scheme is equivalent to that which works well for the nonleptonic hyperon and $\Omega^{-}$ decays. The computed rate is in a good agreement with data.