Semileptonic Decay of $\Omega_c^0 \to \Xi^- l^+ \nu_l$ From Light-Cone Sum Rules

TL;DR

This paper calculates the semileptonic decay of Omega_c^0 to Xi^- using light-cone sum rules, providing form factors, decay width, and branching ratio, which align with previous results and suggest experimental exploration.

Contribution

The study introduces new calculations of form factors, decay width, and branching ratio for Omega_c^0 decay using light-cone sum rules, improving upon previous estimates.

Findings

Form factors at zero recoil: f_1=0.66, f_2=-0.76, g_1=0.06, g_2=-0.44.

Decay width: (7.51±0.36)×10^{-15} GeV.

Branching ratio: (3.06±0.15)×10^{-3}.

Abstract

The weak decay process of $\Omega_c$ to $\Xi$ is calculated in the method of QCD light-cone sum rule. The decay width of $\Omega_c^0 \to \Xi^- l^+ \nu_l$ and its decay branching ratio are also calculated with the form factors from this work's calculation. To the twist-6 distribution amplitudes, the form factors $f_1=0.66\pm0.02, f_2=-0.76\pm0.03, g_1=0.06\pm0.01$ and $g_2=-0.44\pm0.01$ are given at zero recoil point. The result of the semileptonic decay width of $\Omega_c^0 \to \Xi^-l^+\nu_l$ is $\Gamma=(7.51\pm0.36)\times10^{-15}~{\rm{GeV}}$ , and the prediction of the decay branching ratio $Br(\Omega_c^0\to\Xi^-l^+\nu_l)=(3.06\pm0.15)\times10^{-3}$. These results fit well with other works, and the decay width and branching ratio are improved. This not too small branching ratio gives a good direction to explore this decay channel in the future experiments.