Semileptonic Decays of Bc Meson to a P-Wave Charmonium State Xc or hc

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The semileptonic decays of meson Bc to a P-wave charmonium state χc(3PJ) or hc(1P1) 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 1P1 charmonium state potentially offers us a novel window to see the unconfirmed hc particle. In addition, it is pointed out that since the two charmonium radiative decays χc(3P1,2) → J/ψ + γ 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 Bc→J/ψ+l + vi substantially.
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