Hadronic weak decays of the charmed baryon ${\mathrm{\Omega }}_c$

Two-body hadronic weak decays of the charmed baryon ${\mathrm{\Omega }}_c$, including Cabibbo-favored (CF), singly Cabibbo-suppressed (SCS) and doubly Cabibbo-suppressed (DCS) modes, are studied systematically in this work. To estimate nonfactorizable contributions, we work in the pole model for the $P$-wave amplitudes and current algebra for the $S$-wave amplitudes. Among all the channels decaying into a baryon octet and a pseudoscalar meson, ${\mathrm{\Omega }}_c\to {\mathrm{\Xi }}^0{\bar{K}}^0$ is the only allowed CF mode. The predicted branching fraction of order $3.8\mathrm{\%}$ and large and positive decay asymmetry of order $0.50$ indicate that a measurement of this mode in the near future is promising. Proceeding through purely nonfactorizable contributions, the SCS mode ${\mathrm{\Omega }}_c\to {\mathrm{\Lambda }}^0{\bar{K}}^0$ and DCS mode $\Omega_c\to\Lambda^0 \eta$arepredictedtohavebranchingfractionsaslargeas$0.8%$and$0.4%$,respectively\mathrm{.}ThetwoDCSmodes$\Omega_c\to\Sigma^0\eta$and$\Omega_c\to\Lambda^0\pi^0$ are suggested to serve as new physics searching channels for their vanishing SM background.