Charmed baryon weak decays with decuplet baryon and SU(3) flavor symmetry

We study the branching ratios and up-down asymmetries in the charmed baryon weak decays of B-c -> BDM with B-c(D) antitriplet charmed (decuplet) baryon and M pseudoscalar meson states based on the flavor symmetry of SU(3)(F). We propose equal and physical-mass schemes for the hadronic states to deal with the large variations of the decuplet baryon momenta in the decays in order to fit with the current experimental data. We fmd that our fitting results of B(B-c -> BDM) are consistent with the current experimental data in both schemes, while the up-down asymmetries in all decays are found to be sizable, consistent with the current experimental data, but different from 0 predicted in the literature. We also examine the processes of Xi(0)(c) ->Sigma'(0) K-s/K-L, and derive the asymmetry between the K-L/K-s modes being a constant.