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

TL;DR

This paper calculates branching fractions for $ ext{Omega}_b^-$ decays using the light-front quark model, finding significantly larger values than previous estimates, and provides predictions accessible to LHCb experiments.

Contribution

The study offers new, larger predictions for $ ext{Omega}_b^-$ decay branching fractions using the light-front quark model, enhancing previous theoretical estimates.

Findings

Most branching fractions are 10-100 times larger than previous calculations.

The ratio ${ m B}( ext{Omega}_b^- o ext{Omega}^- J/A)/{ m B}( ext{Omega}_b^- o ext{Omega}^- A_c)$ is about 3.4.

Predicted branching fractions reach up to 10^{-4}, within LHCb's experimental reach.

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.