Topological diagrams of $\Omega^0_c$ decays in the $SU(3)_F$ limit

Abstract

The $\Omega^0_c$ baryon is a unique charmed sextet baryon as it decays through weak interaction. In this work, we investigate the topological amplitudes of $\Omega_c^0$ decays in the $SU(3)_F$ limit. The tree- and penguin-induced diagrams contributing to $\Omega_c^0$ decays into decuplet and octet baryons are presented completely. The linear relations between the topological amplitudes and the $SU(3)$ irreducible amplitudes are derived via tensor analysis. Several isospin relations are obtained, and some relations are derived to test the K\"orner-Pati-Woo theorem.