Study of $C$ parity violating and strangeness changing $J/\ddot{I}ˆ$ $\to$ $PP$ weak decays

Abstract

The $J/\ddot{I}ˆ$ weak decays are rare but possible within the standard model of elementary particles. Inspired by the potential prospects at the future intensity frontier, the $C$ parity violating $J/\ddot{I}ˆ$ $\to$ $\ddot{I}€\hat{I}{\cdot }^{(\prime )}$, $\hat{I}\cdot \hat{I}{\cdot }^{\prime }$ decays and the strangeness changing $J/\ddot{I}ˆ$ $\to$ $\ddot{I}€K$, $K\hat{I}{\cdot }^{(\prime )}$ decays are studied with the perturbative QCD approach. It is found that the $J/\ddot{I}ˆ$ $\to$ $\hat{I}\cdot \hat{I}{\cdot }^{\prime }$ decays have relatively large branching ratios, about the order of $10^{-11}$, which might be within the measurement capability and sensitivity of the future STCF experiment.

17 pages