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

TL;DR

This paper studies the decay properties of the $Y(4626)$ particle, modeled as a molecular state, estimating decay widths and suggesting experimental searches at BES III and Belle II to test its molecular nature.

Contribution

It provides the first estimation of partial decay widths of $Y(4626)$ as a $D_{s}^{*+}D_{s1}(2536)^{-}$ molecular state using an effective Lagrangian approach.

Findings

Partial widths for $J/\psi\eta$ and $J/\psi\eta'$ are around 1 MeV.

Partial width for $\chi_{c1}\phi$ is around 0.1 MeV.

Proposes experimental search strategies at BES III and Belle II.

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.