Nonleptonic $\Omega_{b}^{*}\rightarrow\Omega_{c}^{*}P(V)$ weak transitions in QCD

We investigate the nonleptonic two-body weak decays of the single bottom baryon $\Omega_{b}^{*}$ into $\Omega_{c}^{*}P(V)$ final states within the factorization framework. Employing this framework and incorporating the contributions from the current-current operators, we compute the tree-level decay amplitudes and decay widths of the $\Omega_{b}^{*}\rightarrow\Omega_{c}^{*}P(V)$ processes in terms of the $\Omega_{b}^{*}\rightarrow\Omega_{c}^{*}$ transition form factors. Here, $P$ and $V$ denote pseudoscalar and vector mesons, respectively. Using the form factors obtained in our previous work, we evaluate the numerical values of the decay widths for the dominant nonleptonic weak channels. This study complements our previous analysis of the semileptonic weak transitions $\Omega_{b}^{*}\rightarrow\Omega_{c}^{*}\ell\bar{\nu}_{\ell}$ reported in Ref. [1], thereby providing a detailed investigation of dominant $\Omega_{b}^{*}\rightarrow\Omega_{c}^{*}$ weak decays of the $\Omega_{b}^{*}$ baryon.