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

Abstract

Two-body hadronic weak decays of the charmed baryon ${\Omega }_c$, 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, ${\Omega }_c\to {\Xi }^0{\overline{K}}^0$ 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 ${\Omega }_c\to {\Lambda }^0{\overline{K}}^0$ and DCS mode ${\Omega }_c\to {\Lambda }^0\eta$ are predicted to have branching fractions as large as $0.8\%$ and $0.4\%$, respectively. The two DCS modes ${\Omega }_c\to {\Sigma }^0\eta$ and ${\Omega }_c\to {\Lambda }^0{\pi }^0$ are suggested to serve as new physics searching channels for their vanishing SM background.

Comments: V1: 20 pages, 1 figure, 5 tables. arXiv admin note: text overlap with arXiv:2001.04553, arXiv:1910.13626; V2: version accepted by PRD, 24 pages, references added, footnotes added