Abstract
Doubly Cabibbo-suppressed (DCS) nonleptonic weak decays of antitriplet charmed baryons are studied systematically in this work. The factorizable and nonfactorizable contributions can be classified explicitly in the topological-diagram approach and treated separately. In particular, the evaluation of nonfactorizable terms is based on the pole model in conjunction with current algebra. All three types of relevant non- perturbative parameters contributing factorizable and nonfactorizable terms are estimated in the MIT bag model. Branching fractions of all the DCS decays are predicted to be of order 10−4 ∼ 10−6. In particular, we find that the three modes {Xi}_c^{+}to {Sigma}^{+}{K}^0,{Sigma}^0{K}^{+} and {Xi}_c^0to {Sigma}^{-}{K}^{+} are as large as (1 ∼ 2) × 10−4, which are the most promising DCS channels to be measured. We also point out that the two DCS modes {Xi}_c^{+}to {Sigma}^{+}{K}^0 and {Xi}_c^0to {Sigma}^0{K}^0 are possible to be distinguished from {Xi}_c^{+}to {Sigma}^{+}{K}_S and {Xi}_c^0to {Sigma}^0{K}_S . The decay asymmetries for all the channels with a kaon in their final states are found to be large in magnitude and negative in sign.
Highlights
Have been observed through their decay into Λ+c K− [7]
To estimate the nonfactorizable effects in charmed baryon decays, various techniques were developed in the 1990s, including relativistic quark model (RQM) [14, 15], pole model [16, 18, 19] and current algebra [18, 20]
For the factorizable amplitudes we evaluate them within naive factorization, while the pole model associated with current algebra technique is adopted in the calculation of nonfactorizable amplitudes
Summary
We will first introduce the generic kinematics of two-body hadronic decays. In the topological-diagram approach, factorizable and nonfactorizable amplitudes can be classified explicitly [17, 18]. The further calculation of the two parts of contributions are treated separately. For the factorizable amplitudes we evaluate them within naive factorization, while the pole model associated with current algebra technique is adopted in the calculation of nonfactorizable amplitudes
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