Direct CP violation in B(s) → J/ψP(V)

In the framework of factorization, we study direct CP violation in the decays of B-(s) -> J/psi P(V) (P(V) refer to the pseudoscalar (vector) meson). The CP violation depends strongly on Cabibbo-Kobayashi-Maskawa (CKM) matrix elements and the effective parameter, N-c. The recent experimental data for the branching ratios of B-(s) -> J/psi P(V) are accurate enough and we can give a strong constraint on the range of N-c. We find that the CP Violating asymmetry is consistent with the available experiment values for the b -> d transition, and a little smaller than the b -> s transition. We also predict the CP violation of other decay channels for B-(s) -> J/psi P(V). We expect our results can give valuable guidance for experiments.