The Benchmark Mode \(\Omega_c \to \Omega^-\pi^+\) and Its Related Processes

The benchmark mode \(\Omega_c^0\to \Omega^- \pi^+\), which receives purely factorization contribution, is of great importance among all the decay channels of \(\Omega_c^0\) decays. In this work, within the framework of non-relativistic quark model (NRQM), we calculate all the 6 baryon transition form factors involving \(\frac12 ^+\to \frac32 ^+\) decays. The absolute branching fractions of non-leptonic decays \(\Omega_c^0\to \Omega^- \pi^+\), \(\Omega_c^0\to \Omega^- \rho^+\) and \(\Omega_c^0\to \Xi^- \pi^+\) as well as semi-leptonic decays \(\Omega_c^0\to \Omega^- \ell^+ \nu_{\ell} \; (\ell=e,\mu)\) are calculated although they cannot be measured directly by current experiment. Based on the prediction \(\mathcal{B}(\Omega_c^0\to\Omega^-\pi^+)=3.43\%\) in our work, we further predict the ratios between interested modes and the benchmark mode, giving \(R(\Xi^-\pi^+)=0.156\), \(R(\Omega^-\rho^+)=5.33\), \(R(\Omega^- e^+\nu_e)=1.18\) and \(R(\Omega^- \mu^+\nu_\mu)=1.11\). The predictions on \(\Omega_c^0\to \Xi^-\pi^+\) and \(\Omega_c^0\to \Omega^- e^+\nu\) agree well with recent measured ratios reported by LHCb in 2023 and ALICE in 2024, respectively.