Charmed baryon ${\mathrm{\Omega }}_c^0\to {\mathrm{\Omega }}^{-}{l}^{+}{\nu }_l$ and ${\mathrm{\Omega }}_c^0\to {\mathrm{\Omega }}_c^{-}{\pi }^{+}({\rho }^{+})$ decays in light cone sum rules

The semileptonic ${\mathrm{\Omega }}_c^0\to {\mathrm{\Omega }}^{-}l\nu$ and non-leptonic ${\mathrm{\Omega }}_c^0\to {\mathrm{\Omega }}^{-}{\pi }^{+}$, ${\mathrm{\Omega }}_c^0\to {\mathrm{\Omega }}^{-}{\rho }^{+}$ decays of charmed ${\mathrm{\Omega }}_c$ baryon are studied within the light cone sum rules. The form factors responsible for ${\mathrm{\Omega }}_c\to \mathrm{\Omega }$ transitions are calculated using the distribution amplitudes of ${\mathrm{\Omega }}_c$ baryon. With the obtained form factors, the branching ratios of ${\mathrm{\Omega }}_c^0\to {\mathrm{\Omega }}^{-}{l}^{+}{\nu }_l$, ${\mathrm{\Omega }}_c^0\to {\mathrm{\Omega }}^{-}{\pi }^{+}$, and ${\mathrm{\Omega }}_c^0\to {\mathrm{\Omega }}^{-}{\rho }^{+}$ decays are estimated. The results are compared with Belle data as well as the findings of the other approaches.