Abstract
The semileptonic decays of meson Bc to a P-wave charmonium state or are computed. The results show that the decays are sizable so they are accessible in Tevatron and LHC, especially, with the detectors LHCB and BTeV in the foreseeable future, and of them, the one to the charmonium state potentially offers us a novel window to see the unconfirmed particle. In addition, it is pointed out that since the two charmonium radiative decays have sizable branching ratios, the cascade decays of the concerned decays and the charmonium radiative decays may affect the result of observing Bc meson through the semileptonic decays substantially.
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