Study of C parity violating and strangeness changing J / ψ → PP weak decays

Although \begin{document}$ J/{\psi} $\end{document} weak decays are rare, they are possible within the standard model of elementary particles. Inspired by the potential prospects of the future intensity frontier, the C parity violating \begin{document}$ J/{\psi} $\end{document} \begin{document}$ {\to} $\end{document} \begin{document}$ {\pi}{\eta}^{({\prime})} $\end{document} , \begin{document}$ {\eta}{\eta}^{\prime} $\end{document} decays and the strangeness changing \begin{document}$ J/{\psi} $\end{document} \begin{document}$ {\to} $\end{document} \begin{document}$ {\pi}K $\end{document} , \begin{document}$ K{\eta}^{({\prime})} $\end{document} decays are studied via the perturbative QCD approach. It is determined that the \begin{document}$ J/{\psi} $\end{document} \begin{document}$ {\to} $\end{document} \begin{document}$ {\eta}{\eta}^{\prime} $\end{document} decays have relatively large branching ratios, approximately on the order of \begin{document}$ 10^{-11} $\end{document} , which might be within the measurement capability and sensitivity of the future STCF experiment.