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The weak decay process of $\Omega_c$ to $\Xi$ is calculated in the method ofQCD 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 fromthis work's calculation. To the twist-6 distribution amplitudes, the formfactors $f_1=0.66\pm0.02, f_2=-0.76\pm0.03, g_1=0.06\pm0.01$ and$g_2=-0.44\pm0.01$ are given at zero recoil point. The result of thesemileptonic 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 thedecay branching ratio$Br(\Omega_c^0\to\Xi^-l^+\nu_l)=(3.06\pm0.15)\times10^{-3}$. These results fitwell 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 decaychannel in the future experiments.

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