Probing non-leptonic two-body decays of B_c meson

Rates and CP asymmetries of the non-leptonic two-body decay of B _c are calculated based on the low energy effective Hamiltonian. We concentrate on such b quark decays of the processes with 0^- and 1^- S-wave particles and/or 0⁺ and 1⁺ P-wave particles in the final states. The Salpeter method, which is the relativistic instantaneous approximation of the original Bethe-Salpeter equation, is used to derive hadron transition matrix elements. Based on the calculation, it is found that the best decay channels to observe CP violation are B^- _c →ηc + D^-(D^*-₀ ), which need about ∼ 10⁷ B_c events in experiment. Decays to η_c + D^*-(D^-_s ), h _c + D^-(D^*-)(D^*- ₀ ), J/ψ + D^*- are also hopeful channels.