Abstract
Motivated by the large number of $B_c$ meson decay modes observed recently by several detectors at the LHC, we present a detailed analysis of the $B_c$ meson decaying to the $P$-wave charmonium states and a light pseudoscalar($P$) or vector ($V$) meson within the framework of perturbative QCD factorization. The $P$-wave charmonium distribution amplitudes are extracted from the $n=2,l=1$ Schr$\ddot{o}$dinger states for a Coulomb potential,which can be taken as the universal nonperturbative objects to analyze the hard exclusive processes with $P$-wave charmonium production. It is found that these decays have large branching ratios of the order of $10^{-5}\sim 10^{-2}$, which seem to be in the reach of future experiments. We also provide predictions for the polarization fractions and relative phases of $B_c\rightarrow (\chi_{c1},\chi_{c2},h_c)V$ decays. It is expected that the longitudinal polarization amplitudes dominate the branching ratios according to the quark helicity analysis, and the magnitudes and phases of parallel polarization amplitude are approximately equal to the perpendicular ones. The obtained results are compared with available experimental data, our previous studies, and numbers from other approaches.
Highlights
In the quark model, P-wave charmonium states are expected as the orbital excitation of the ccassignments with the orbital angular momentum L 1⁄4 1
As a successive work of [42,43], in the present work we will focus on the Bc decays involving a P-wave charmonium state and a light pseudoscalar or vector meson in the final states employing the Perturbative quantum chromodynamics (QCD) (PQCD) approach based on the kT factorization theorem
To proceed the numerical analysis, it is useful to summarize all of the input quantities we have used in this work
Summary
Decays of Bc mesons to the final states including a charmonium meson are of special interest These decay modes provide a sensitive laboratory for studying strong interaction effects in a heavy meson system. Those decays involve two energy scales, the bottom quark mass mb and charm quark mass mc. As a successive work of [42,43], in the present work we will focus on the Bc decays involving a P-wave charmonium state and a light pseudoscalar or vector meson in the final states employing the Perturbative QCD (PQCD) approach based on the kT factorization theorem. The evaluation of the P-wave charmonium distribution amplitudes is relegated to the Appendix
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
