Study of $B_{s}$ ${\to}$ ${\eta}_{c}(J/{\psi})D$ decay with perturbative QCD approach

TL;DR

This paper investigates the rare $B_s$ meson decays into charmonium and D mesons using perturbative QCD, estimating very small branching ratios and discussing the potential for experimental observation.

Contribution

It provides the first detailed perturbative QCD calculations of $B_s$ decays to $ ext{eta}_c$ and $J/ ext{psi}$ with different wave functions, estimating their branching ratios.

Findings

Branching ratios are estimated to be around 10^{-7} to 10^{-9}.

Largest uncertainties stem from the choice of wave functions.

Decays may be measurable in upcoming experiments.

Abstract

The $W$-exchange process $B_{s}$ ${\to}$ ${\eta}_{c}(J/{\psi})D$ 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 $B_{s}$ ${\to}$ ${\eta}_{c}\bar{D}$, ${\eta}_{c}D$, $J/{\psi}\bar{D}$, $J/{\psi}D$ 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.