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

Abstract

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: $B_c\to c\bar{c}(2S,2P)+\bar{c}q(1S,1P)$, $B_c\to c\bar{c}(1S)+\bar{c}q(2S,2P)$, $B_c\to c\bar{c}(1P)+\bar{c}q(2S)$, $B_c\to c\bar{c}(1D)+\bar{c}q(1S,1P)$, and $B_c\to c\bar{c}(3S)+\bar{c}q(1S)$. 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 $B_c\to {\eta }_c(1S)+D(2S)$, $B_c\to {\eta }_c(1S)+D_0^{\ast }(2P)$, and $B_c\to J/\psi +D^{\ast }(2S)$ are most likely to be found. If the detection precision of the CP asymmetry in such channels can reach the $3\sigma$ level, at least $10^7$ $B_c$ events are needed.

arXiv comment18 pages, 26 figures

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• Covariant Light-Front Approach for $B_c$ Decays into Charmonium: Implications on Form Factors and Branching Ratios
• Exclusive nonleptonic Bc-meson decays to S-wave charmonium states
• Spectroscopy of excited quarkonium states in the light-front quark model
• Study of CP Violation in $D^{\pm }\to K^{\ast }(892{)}^0{\pi }^{\pm }+{\bar{K}}^{\ast }(892{)}^0{\pi }^{\pm }\to K_{S,L}^0{\pi }^0{\pi }^{\pm }$ Decays
• Effect of $K^0-{\bar{K}}^0$ Mixing on CP and CPT Violations in $B_c^{\pm }\to B^{\pm }{K}_{S,L}^0$ Decays