Semileptonic and nonleptonic weak decays of bottom baryons Ω^((*))_(b)

We present an investigation into the semileptonic and nonleptonic weak decays of bottom baryons $\Omega^{*}_{b}$ and $\Omega_{b}$ within the framework of three-point QCD sum rules. In the semileptonic sector, the $\Omega^{*}_b\rightarrow\Omega_c\ell\bar{\nu}_{\ell}$ and $\Omega_b\rightarrow\Omega^*_c\ell\bar{\nu}_{\ell}$ transitions are specifically considered. Utilizing the operator product expansion up to dimension six, the responsible form factors of these decays are obtained. The acquired form factors enable us to determine the decay widths in three leptonic channels. Branching ratios related to the $\Omega_{b}$ baryon semileptonic decays are also presented. These invariant form factors are subsequently employed as inputs to determine the nonleptonic weak decay widths in various modes with emitting a pseudoscalar or vector meson. An extensive investigation into all possible decay channels of bottom baryons provides valuable information for future experiments to examine the SM predictions, explores the new physics effects in heavy baryonic decays, and advances the understanding of the internal structure of heavy baryons.