Charmful two-body ${\Omega }_b$ 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 $\mathcal{B}({\Omega }_b^{-}\to {\Xi }^{-}{D}^0,{\Xi }^{-}{D}^{\ast 0})$, can be ten to one hundred times larger than those reported in previous calculations. Additionally, we interpret the ratio $\mathcal{B}({\Omega }_b^{-}\to {\Omega }^{-}J/\psi )/\mathcal{B}({\Omega }_b^{-}\to {\Omega }^{-}{\eta }_c)\simeq 3.4$ 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, $\mathcal{B}({\Omega }_b^{-}\to {\Xi }^0{D}_s^{\ast -})=(5.9-14.2)\times 10^{-5}$, $\mathcal{B}({\Omega }_b^{-}\to {\Xi }^{\ast 0}{D}_s^{-})=(6.7-12.1)\times 10^{-5}$, and $\mathcal{B}({\Omega }_b^{-}\to {\Xi }^{\ast 0}{D}_s^{\ast -})=(12.8-26.7)\times 10^{-5}$, with values reaching as large as $10^{-4}$. These predictions are well within the experimental reach of LHCb.

Comments: 19 pages, 2 figures, 4 tables, matches the published version