Hidden Charm Decays of $Y(4626)$ in a $D_s^{\ast +}{D}_{s1}(2536{)}^{-}$ 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 $D_s^{\ast +}{D}_{s1}(2536{)}^{-}$ molecular state with $J^{PC}=1^{--}$. The partial widths of the processes $Y(4626)\to J/\psi \eta$, $J/\psi {\eta }^{\prime }$, ${\eta }_c\varphi$, and ${\chi }_{cJ}\varphi ,(J=\{0,1,2\})$ 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 ${\chi }_{c1}\varphi$ 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.

8 pages, 5 figures