Eur. Phys. J. C (2020) 80: 1066
https://doi.org/10.1140/epjc/s10052-020-08619-y

Regular Article – Theoretical Physics

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

¹ School of Physics and Information Engineering, Shanxi Normal University, Linfen, 041004, China
² Department of Optometry, Central Taiwan University of Science and Technology, Taichung, 40601, Taiwan

^* e-mail: shangyuu@gmail.com

Received: 3 October 2020
Accepted: 29 October 2020
Published online: 19 November 2020

Abstract

More than ten $$\Omega _c^0$$ weak decay modes have been measured with the branching fractions relative to that of $$\Omega ^0_c\rightarrow \Omega ^-\pi ^+$$. In order to extract the absolute branching fractions, the study of $$\Omega ^0_c\rightarrow \Omega ^-\pi ^+$$ is needed. In this work, we predict $${{\mathcal {B}}}_\pi \equiv {{\mathcal {B}}}(\Omega _c^0\rightarrow \Omega ^-\pi ^+)=(5.1\pm 0.7)\times 10^{-3}$$ with the $$\Omega _c^0\rightarrow \Omega ^-$$ transition form factors calculated in the light-front quark model. We also predict $${{\mathcal {B}}}_\rho \equiv {{\mathcal {B}}}(\Omega _c^0\rightarrow \Omega ^-\rho ^+)=(14.4\pm 0.4)\times 10^{-3}$$ and $${{\mathcal {B}}}_e\equiv {{\mathcal {B}}}(\Omega _c^0\rightarrow \Omega ^-e^+\nu _e)=(5.4\pm 0.2)\times 10^{-3}$$. 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.