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