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## Probing Non-leptonic Two-body Decays of $B_c$ meson

### Abstract

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 $B_c^-\rightarrow \eta_c +D^-(D^{*-}_0)$, which need about $\sim10^7$ $B_c$ events in experiment. Decays to $\eta_c +D^{*-}(D_s^-), h_c+D^-(D^{*-})(D^{*-}_0), J/\Psi+D^{*-}$ are also hopeful channels.Comment: 17 pages, 2 figures, 7 table

Topics: High Energy Physics - Phenomenology, High Energy Physics - Experiment
Year: 2011
DOI identifier: 10.1007/JHEP06(2011)015
OAI identifier: oai:arXiv.org:1102.5399