Study of $B_s$ $\to$ $\hat{I}{\cdot }_c(J/\ddot{I}ˆ)D$ decay with perturbative QCD approach

Abstract

The $W$-exchange process $B_s$ $\to$ $\hat{I}{\cdot }_c(J/\ddot{I}ˆ)D$ is studied with the perturbative QCD approach. Three kinds of wave functions for $B_s$ meson and two forms of wave functions for charmonium are considered. It is estimated that branching ratios for $B_s$ $\to$ $\hat{I}{\cdot }_c\bar{D}$, $\hat{I}{\cdot }_{c}D$, $J/\ddot{I}ˆ\bar{D}$, $J/\ddot{I}ˆD$ decays are the order of $10^{-7}$, $10^{-8}$, $10^{-8}$, $10^{-9}$, respectively, where the largest uncertainty is from wave functions. There is a possibility for measuring these decay in the near future.

17 pages, revtex4, accepted by EPJC