Search for $\eta_{c}(2S)\to K^+ K^- \eta^{\prime}$ decay

Using $(2.712\pm0.014)\times10^{9}$ $\psi(3686)$ events collected with the BESIII detector operating at the BEPCII, we find an evidence of the $\eta_{c}(2S)\to K^+ K^- \eta^{\prime}$ decay with a statistical significance of 3.1$\sigma$. Its decay branching fraction is measured to be $(12.24\pm4.60(\mathrm{stat.})\pm2.37(\mathrm{syst.})\pm4.68(\mathrm{extr.}))\times 10^{-4}$, where the first uncertainty is statistical, the second is systematic, and the third uncertainty is from the branching fraction of the $\psi(3686)\to\gamma\eta_{c}(2S)$ decay. The upper limit on the product branching fraction $B[\psi(3686)\to\gamma\eta_{c}(2S)] \times$ $B[\eta_{c}(2S)\to K^+ K^- \eta^{\prime}]$ is set to be $1.14 \times 10^{-6}$ at $90\%$ confidence level. In addition, the branching fractions of $\chi_{c1}\to K^+ K^- \eta^{\prime}$ and $\chi_{c2}\to K^+ K^- \eta^{\prime}$ are updated to be $(8.47\pm0.09(\mathrm{stat.})\pm0.47(\mathrm{syst.}))\times 10^{-4}$ and $(1.53\pm0.04(\mathrm{stat.})\pm0.08(\mathrm{syst.}))\times 10^{-4}$, respectively. The precision is improved by twofold.