Hidden Charm Decays of $Y(4626)$ in a $D_{s}^{*+}D_{s1}(2536)^{-}$ Molecular Frame

Abstract

In this work, we investigate the hidden charm decays properties of $Y(4626)$, where $Y(4626)$ is assigned as a $S-$wave $D_{s}^{*+}D_{s1}(2536)^{-}$ molecular state with $J^{PC}=1^{--}$. The partial widths of the processes $Y(4626)\to J/\psi\eta$, $J/\psi\eta^{\prime}$, $\eta_{c}\phi$, and $ \chi_{cJ}\phi,\ (J=\{0,1,2\})$ are estimated by employing the effective Lagrangian approach. The present estimations indicate that the partial widths of the $J/\psi\eta$ and $J/\psi \eta^\prime$ channels are of the order of 1 MeV, while the one of $\chi_{c1}\phi$ is of the order of 0.1 MeV. Thus, we propose to further examine the molecular interpretation of $Y(4626)$ by searching it in the cross sections for the $e^{+}e^{-}\to J/\psi\eta^{(\prime)}$ processes, which should be accessible by the BES III and Belle II.