We explore the two-body non-leptonic weak decays of $\Omega_c^0$ into final states ${ \bf B}^{ (*)}M$ and ${ \bf B}^{ (*)}V$, where ${ \bf B}^{ (*)}$ denotes an octet (a decuplet) baryon and $M(V)$ represents a pseudoscalar (vector) meson. We employ the topological $SU(3)_f$ approach to depict and parameterize the $W$-emission and $W$-exchange processes. We find that the topological parameters can be associated and combined, making them extractable for calculation. Consequently, we explain the partially measured branching fractions relative to ${ \cal B}(\Omega_c^0\to \Omega^-\pi^+)$, recombined or kept as the following ratios: ${ \cal B}(\Omega_c^0\to\Xi^{ *0}\bar K^{ *0})/{ \cal B}(\Omega_c^0\to\Omega^-\rho^+)=0.28\pm 0.11$, ${ \cal B}(\Omega_c^0\to\Xi^-\pi^+)/{ \cal B}(\Omega_c^0\to\Xi^{ 0}\bar K^{ 0})=0.10\pm 0.02$, and ${ \cal B}(\Omega_c^0 \to \Omega^- K^+)/{ \cal B}(\Omega_c^0 \to \Omega^- \pi^+)=0.06\pm 0.01$. In particular, we present ${ \cal B}(\Omega_c^0 \to \Xi^0 \pi^0)=(2.3\pm0.2)\times 10^{ -4}$ as half the value of ${ \cal B}(\Omega_c^0 \to \Xi^- \pi^+)$ in the approximate isospin relation, and highlight potential candidates for testing $SU(3)_f$ symmetry breaking.
Categories: hep-ph hep-ex