CP violation in non-leptonic B_c decays to excited final states

We study the CP violation in two-body nonleptonic decays of B_c meson. We concentrate on the decay channels which contain at least one excited heavy meson in the final states. Specifically, the following channels are considered: B_c→ cc¯ (2 S, 2 P) + c¯ q(1 S, 1 P) , B_c→ cc¯ (1 S) + c¯ q(2 S, 2 P) , B_c→ cc¯ (1 P) + c¯ q(2 S) , B_c→ cc¯ (1 D) + c¯ q(1 S, 1 P) , and B_c→ cc¯ (3 S) + c¯ q(1 S). The improved Bethe-Salpeter method is applied to calculate the hadronic transition matrix element. Our results show that some decay modes have large branching ratios, which is of the order of 10 ^{- 3}. The CP violation effect in B_c→ η_c(1 S) + D(2 S) , Bc→ηc(1S)+D0∗(2P), and B_c→ J/ ψ+ D^∗(2 S) are most likely to be found. If the detection precision of the CP asymmetry in such channels can reach the 3 σ level, at least 10 ⁷B_c events are needed.