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

Abstract

The ${\Omega }_c^0$ baryon is unique among charmed sextet baryons because it decays through the weak interaction. In this work, we investigate the topological amplitudes of ${\Omega }_c^0$ decays in the $SU(3{)}_F$ limit. The complete set of tree- and penguin-induced diagrams contributing to ${\Omega }_c^0$ decays into decuplet and octet baryons is presented. The linear relations between the topological amplitudes and the $SU(3)$ irreducible amplitudes are derived through tensor analysis. Several isospin relations are obtained, and additional relations are derived to test the Körner-Pati-Woo theorem.

18 pages, 3 figures, published version