$J/\psi$ $\to$ $DP$, $DV$ decays in the QCD factorization approach

Abstract

Motivated by the recent measurements on nonleptonic $J/\psi$ weak decays at BESIII and the potential prospects of $J/\psi$ meson at the high-luminosity heavy-flavor experiments, the branching ratios of the two-body nonleptonic $J/\psi$ $\to$ $DP$, $DV$ 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 $J/\psi$ $\to$ $D_s^{-}{\rho }^{+}$, $D_s^{-}{\pi }^{+}$, ${\overline{D}}_u^0{\overline{K}}^{\ast 0}$ decays have branching ratios $\gtrsim$ $10^{-10}$, which might be promisingly detectable in the near future.

arXiv comment17 pages. arXiv admin note: text overlap with arXiv:1504.01286

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• Feasibility of searching for the Cabibbo-favored $D^{\ast }$ $\to$ $\bar{K}{\pi }^{+}$, ${\bar{K}}^{\ast }{\pi }^{+}$, $\bar{K}{\rho }^{+}$ decays
• Possibility of experimental study on nonleptonic $B_c^{\ast }$ weak decays
• Study of $C$ parity violating and strangeness changing $J/\psi$ $\to$ $PP$ weak decays