Abstract
We analyze the decay processes of Bc→BnM with the SU(3)F flavor symmetry and spin-dependent amplitudes, where Bc(Bn) and M are the anti-triplet charmed (octet) baryon and nonet meson states, respectively. In the SU(3)F approach, it is the first time that the decay rates and up-down asymmetries are fully and systematically studied without neglecting the O(15‾) contributions of the color anti-symmetric parts in the effective Hamiltonian. Our results of the up-down asymmetries based on SU(3)F are quite different from the previous theoretical values in the literature. In particular, we find that the up-down symmetry of α(Λc+→Ξ0K+)SU(3)=0.94−0.11+0.06, which is consistent with the recent experimental data of 0.77±0.78 by the BESIII Collaboration, but predicted to be zero in the literature. We also examine the KS0−KL0 asymmetries between the decays of Bc→BnKS0 and Bc→BnKL0 with both Cabibbo-allowed and doubly Cabibbo-suppressed transitions.
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