Hadronic weak decays of the charmed baryon $Ω_c$

Two-body hadronic weak decays of the charmed baryon $Ω_c$, 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, $Ω_c\to Ξ^0\overline{K}^0$ is the only allowed CF mode. The predicted branching fraction of order $3.8\%$ 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 $Ω_c\toΛ^0\overline{K}^0$ and DCS mode $Ω_c\toΛ^0 η$ are predicted to have branching fractions as large as $0.8\%$ and $0.4\%$, respectively. The two DCS modes $Ω_c\toΣ^0η$ and $Ω_c\toΛ^0π^0$ are suggested to serve as new physics searching channels for their vanishing SM background.

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