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

Abstract

The ${\Omega }_c^0$ 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 Körner-Pati-Woo theorem.

Comments: 18 pages, 3 figures, to be published in Chinese Physics C