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Abstract
| The decays of the meson B/sub c/ to a P-wave charmonium state chi /sub c/ or h/sub c/ (here chi /sub c/ and h/sub c/ denote (cc[/sup 3 /P/sub J/]) and (cc[/sup 1/P/sub 1/]), respectively), the semileptonic ones B/sub c/ to chi /sub c/(h/sub c/)+l+ nu /sub l/, and the two-body nonleptonic ones B/sub c/ to chi /sub c/(h/sub c/)+h (h indicates a meson) are computed. To properly deal with the recoil effects, which may be relativistic in the decays, in the computation the framework of a heavy quark model, which is based on the Bethe- Salpeter equation and QCD inspired potential, is adopted. We find that all the decay rates are quite sizable and under reasonable approximations, all of the form factors occurring in the decays can be formulated precisely by means of proper kinematics factors and two independent overlapping integrations of the wave functions. As a result, the decays will be accessible at the CERN Large Hadron Collider and in run II at the Fermilab Tevatron in the foreseeable future. In particular, the cascade decays, i.e., B/sub c/ to chi /sub c/[/sup 3/P/sub 1,2/]+l+ nu /sub l/(B/sub c/ to chi /sub c/[/sup 3/P /sub 1,2/]+h) and chi /sub c/[/sup 3/P/sub 1,2/] to J/ psi + gamma , being followed accordingly, may affect the observations of the B/sub c/ meson through the decays B/sub c/ to J/ psi +l+ nu /sub l/ (B/sub c/ to J/ psi +h) substantially, and the decays B/sub c/ to h/sub c /+... may be used as a fresh window experimentally to observe the h /sub c/ state potentially. (19 refs). |