Semileptonic Decay of ${\Omega }_c^0\to {\Xi }^{-}{l}^{+}{\nu }_l$ From Light-Cone Sum Rules

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 $f_1=0.66\pm 0.02,f_2=-0.76\pm 0.03,g_1=0.06\pm 0.01$ and $g_2=-0.44\pm 0.01$ are given at zero recoil point. The result of the semileptonic decay width of ${\Omega }_c^0\to {\Xi }^{-}{l}^{+}{\nu }_l$ is $\Gamma =(7.51\pm 0.36)\times 10^{-15}\mathrm{GeV}$ , and the prediction of the decay branching ratio $Br({\Omega }_c^0\to {\Xi }^{-}{l}^{+}{\nu }_l)=(3.06\pm 0.15)\times 10^{-3}$. 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.

10 pages, 7 figures