Abstract
Considering Z(3930) and X(4160) as chi _{c2}(2P) and chi _{c2}(3P) states, the semileptonic and nonleptonic of B_c decays to Z(3930) and X(4160) are studied by the improved Bethe–Salpeter (B–S) Method. The form factors of decay are calculated through the overlap integrals of the meson wave functions in the whole accessible kinematical range. The influence of relativistic corrections are considered in the exclusive decays. Branching ratios of B_c weak decays to Z(3930) and X(4160) are predicted. Some of the branching ratios are: Br(B_c^+rightarrow Z(3930)e^+nu _e)=(3.03^{+0.09}_{-0.16})times 10^{-4} and Br(B_c^+rightarrow X(4160)e^+nu _e)=(3.55^{+0.83}_{-0.35})times 10^{-6}. These results may provide useful information to discover Z(3930) and X(4160) and the necessary information for the phenomenological study of B_c physics.
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