Asymmetries of anti-triplet charmed baryon decays

Abstract We analyze the decay processes of B c → B n M with the S U ( 3 ) F flavor symmetry and spin-dependent amplitudes, where B c ( B n ) and M are the anti-triplet charmed (octet) baryon and nonet meson states, respectively. In the S U ( 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 S U ( 3 ) F are quite different from the previous theoretical values in the literature. In particular, we find that the up-down symmetry of α ( Λ c + → Ξ 0 K + ) S U ( 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 K S 0 − K L 0 asymmetries between the decays of B c → B n K S 0 and B c → B n K L 0 with both Cabibbo-allowed and doubly Cabibbo-suppressed transitions.