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.
Highlights
The Ωc baryon comprises a combination of a charm quark and two strange quarks
The short-distance physics is characterized by Wilson coefficients, which are obtained from integrating out high energy part of theory, and the long-distance physics lies in the hadronic matrix elements
We have systematically studied the branching fractions and up-down decay asymmetries of CF, singly Cabibbo-suppressed (SCS), and doubly Cabibbo-suppressed (DCS) decays of Ωc, the heaviest singly charmed baryon which decays weakly
Summary
The Ωc baryon comprises a combination of a charm quark and two strange quarks. Classified by the SU(3) flavor symmetry, the Ωc is one of the sextet charmed baryons. Various theoretical models have been proposed to interpret these new resonances, including excited states of the Ωc baryon [7,8], pentaquark picture [9,10], and so on. Various methodologies were developed to describe the nonfactorizable contributions in charmed baryon decays, including the covariant confined quark model [18,21], the pole model [20], and the pole model associated with current. S-wave amplitudes in Ωc decays using the current algebra and the nonfactorizable contributions, including the. Baryon matrix elements and axial-vector form factors calculated in the MIT bag model are summarized in Appendix B and Appendix C, respectively
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