Charmed ${\Omega }_c$ weak decays into $\Omega$ in the light-front quark model

Abstract

More than ten ${\Omega }_c^0$ weak decay modes have been measured with the branching fractions relative to that of ${\Omega }_c^0\to {\Omega }^{-}{\pi }^{+}$. In order to extract the absolute branching fractions, the study of ${\Omega }_c^0\to {\Omega }^{-}{\pi }^{+}$ is needed. In this work, we predict ${\mathcal{B}}_{\pi }\equiv \mathcal{B}({\Omega }_c^0\to {\Omega }^{-}{\pi }^{+})=(5.1\pm 0.7)\times 10^{-3}$ with the ${\Omega }_c^0\to {\Omega }^{-}$ transition form factors calculated in the light-front quark model. We also predict ${\mathcal{B}}_{\rho }\equiv \mathcal{B}({\Omega }_c^0\to {\Omega }^{-}{\rho }^{+})=(14.4\pm 0.4)\times 10^{-3}$ and ${\mathcal{B}}_e\equiv \mathcal{B}({\Omega }_c^0\to {\Omega }^{-}{e}^{+}{\nu }_e)=(5.4\pm 0.2)\times 10^{-3}$. The previous values for ${\mathcal{B}}_{\rho }/{\mathcal{B}}_{\pi }$ have been found to deviate from the most recent observation. Nonetheless, our ${\mathcal{B}}_{\rho }/{\mathcal{B}}_{\pi }=2.8\pm 0.4$ is able to alleviate the deviation. Moreover, we obtain ${\mathcal{B}}_e/{\mathcal{B}}_{\pi }=1.1\pm 0.2$, which is consistent with the current data.

Comments: 12 pages, 2 figures