$J/\ddot{I}ˆ$ $\to$ $D_{s,d}\ddot{I}€$, $D_{s,d}K$ decays with perturbative QCD approach

Abstract

Besides the conventional strong and electromagnetic decay modes, the $J/\ddot{I}ˆ$ particle can also decay via the weak interaction in the standard model. In this paper, nonleptonic $J/\ddot{I}ˆ$ $\to$ $D_{s,d}\ddot{I}€$, $D_{s,d}K$ weak decays, corresponding to the externally emitted virtual $W$ boson process, are investigated with the perturbative QCD approach. It is found that branching ratio for the Cabibbo-favored $J/\ddot{I}ˆ$ $\to$ $D_s\ddot{I}€$ decay can reach up to $\mathcal{O}(10^{-10})$, which might be potentially measurable at the future high-luminosity experiments.

17 pages, 2 figures, revtex