Two-body hadronic weak decays of antitriplet charmed baryons

Abstract

We study Cabibbo-favored (CF) and singly Cabibbo-suppressed (SCS) two-body hadronic weak decays of the antitriplet charmed baryons ${\Lambda }_c^{+}$, ${\Xi }_c^0$ and ${\Xi }_c^{+}$ with more focus on the last two. Both factorizable and nonfactorizable contributions are considered in the topologic diagram approach. The estimation of nonfactorizable contributions from $W$-exchange and inner $W$-emission diagrams relies on the pole model and current algebra. The non-perturbative parameters in both factorizable and nonfactorizable parts are calculated in the MIT bag model. Branching fractions and up-down decay asymmetries for all the CF and SCS decays of antitriplet charmed baryons are presented. The prediction of $\mathcal{B}({\Xi }_c^{+}\to {\Xi }^0{\pi }^{+})$ agrees well with the measurements inferred from Belle and CLEO, while the calculated $\mathcal{B}({\Xi }_c^0\to {\Xi }^{-}{\pi }^{+})$ is too large compared to the recent Belle measurement. We conclude that these two ${\Xi }_c\to \Xi {\pi }^{+}$ modes cannot be simultaneously explained within the current-algebra framework for $S$-wave amplitudes. This issue needs to be resolved in future study. The long-standing puzzle with the branching fraction and decay asymmetry of ${\Lambda }_c^{+}\to {\Xi }^0{K}^{+}$ is resolved by noting that only type-II $W$-exchange diagram will contribute to this mode. We find that not only the calculated rate agrees with experiment but also the predicted decay asymmetry is consistent with the SU(3)-flavor symmetry approach in sign and magnitude. Likewise, the CF mode ${\Xi }_c^0\to {\Sigma }^{+}{K}^{-}$ and the SCS decays ${\Xi }_c^0\to p{K}^{-},{\Sigma }^{+}{\pi }^{-}$ proceed only through type-II $W$-exchange. They are predicted to have large and {\it positive} decay asymmetries. These features can be tested in the near future.

38 pages, 1 figure, version accepted by PRD

References in corpus (4)

• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Observation of $CP$ violation in charm decays
• Asymmetries of anti-triplet charmed baryon decays
• Heavy-to-light semileptonic decays of Lambda_b and Lambda_c baryons in the covariant confined quark model

Cited by in corpus (39)

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• Measurement of Branching Fractions of Singly Cabibbo-suppressed Decays ${\Lambda }_c^{+}\to {\Sigma }^0{K}^{+}$ and ${\Sigma }^{+}{K}_S^0$
• Measurements of the branching fractions of ${\Xi }_c^0\to \Lambda K_S^0$, ${\Xi }_c^0\to {\Sigma }^0{K}_S^0$, and ${\Xi }_c^0\to {\Sigma }^{+}{K}^{-}$ decays at Belle
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• Measurement of the branching fraction of ${\Lambda }_c^{+}\to p\omega$ decay at Belle
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• First Measurement of the ${\Lambda }_c^{+}\to p{\eta }^{\prime }$ decay
• Observations of the singly Cabibbo-suppressed decays ${\Xi }_c^{+}\to p{K}_S^0$, ${\Xi }_c^{+}\to \Lambda {\pi }^{+}$, and ${\Xi }_c^{+}\to {\Sigma }^0{\pi }^{+}$ at Belle and Belle II
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• Observation of the Singly Cabibbo-Suppressed Decay ${\Lambda }_c^{+}\to {\Sigma }^{-}{K}^{+}{\pi }^{+}$
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• The nonleptonic decays of double-charmed baryon ${\Omega }_{cc}^{+}$ within the nonrelativistic quark model
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• Measurements of the branching fractions of ${\Xi }_c^{+}\to {\Sigma }^{+}{K}_S^0$, ${\Xi }_c^{+}\to {\Xi }^0{\pi }^{+}$, and ${\Xi }_c^{+}\to {\Xi }^0{K}^{+}$ at Belle and Belle II