Charmful two-body $Ω_b$ decays in the light-front quark model

Abstract: We investigate the singly and doubly charmful two-body $\Omega_b^-$ decays using the light-front quark model. Our findings reveal that most branching fractions calculated in this study, such as ${\cal B}(\Omega_b^-\to\Xi^- D^0,\Xi^{-}D^{*0})$, can be ten to one hundred times larger than those reported in previous calculations. Additionally, we interpret the ratio ${\cal B}(\Omega_b^-\to\Omega^- J/\psi)/{\cal B}(\Omega_b^-\to\Omega^- \eta_c)\simeq 3.4$ within the helicity framework. While the decay involving external $W$-boson emission appears to be suppressed by the $b\to u \bar c s$ weak transition, it still yields a significant branching fraction. For instance, ${\cal B}(\Omega_b^-\to\Xi^0 D_s^{*-})=(5.9-14.2)\times 10^{-5}$, ${\cal B}(\Omega_b^-\to\Xi^{*0}D_s^{-})=(6.7-12.1)\times10^{-5}$, and ${\cal B}(\Omega_b^-\to\Xi^{0}D_s^{-})=(12.8-26.7)\times10^{-5}$, with values reaching as large as $10^{-4}$. These predictions are well within the experimental reach of LHCb.