Semileptonic Decay of $Ω_c^0 \to Ξ^- l^+ ν_l$ From Light-Cone Sum Rules

The weak decay process of $Ω_c$ to $Ξ$ is calculated in the method of QCD light-cone sum rule. The decay width of $Ω_c^0 \to Ξ^- l^+ ν_l$ 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 $Ω_c^0 \to Ξ^-l^+ν_l$ is $Γ=(7.51\pm0.36)\times10^{-15}~{\rm{GeV}}$ , and the prediction of the decay branching ratio $Br(Ω_c^0\toΞ^-l^+ν_l)=(3.06\pm0.15)\times10^{-3}$. 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.

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