$J/ψ$ ${\to}$ $DP$, $DV$ decays in the QCD factorization approach

Abstract

Motivated by the recent measurements on nonleptonic $J/ψ$ weak decays at BESIII and the potential prospects of $J/ψ$ meson at the high-luminosity heavy-flavor experiments, the branching ratios of the two-body nonleptonic $J/ψ$ ${\to}$ $DP$, $DV$ decays are estimated quantitatively by considering the QCD radiative corrections to hadronic matrix elements with the QCD factorization approach. It is found that the Cabibbo favored $J/ψ$ ${\to}$ $D_{s}^{-}ρ^{+}$, $D_{s}^{-}π^{+}$, $\overline{D}_{u}^{0}\overline{K}^{{\ast}0}$ decays have branching ratios ${\gtrsim}$ $10^{-10}$, which might be promisingly detectable in the near future.