Recently, a new structure $Y(4626)$ was reported by the Belle Colloboration in the process $e^+e^-to D_s^+D_{s1}(2536)^-$. In this work, we propose an assignment of the $Y(4626)$ as a ${D}^*_sbar{D}_{s1}(2536)$ molecular state, which decays into the $D_s^+D_{s1}(2536)^-$ channel through a coupling between ${D}^*_sbar{D}_{s1}(2536)$ and ${D}_sbar{D}_{s1}(2536)$ channels. With the help of the heavy quark symmetry, the potential of the interaction ${D}^*_sbar{D}_{s1}(2536)-{D}_sbar{D}_{s1}(2536)$ is constructed within the one-boson-exchange model, and inserted into the quasipotential Bethe-Salpeter equation. The pole of obtained scattering amplitude is searched for in the complex plane, which corresponds to a molecular state from the interaction ${D}^*_sbar{D}_{s1}(2536)-{D}_sbar{D}_{s1}(2536)$. The results suggest that a pole is produced near the ${D}^*_sbar{D}_{s1}(2536)$ threshold, which exhibits as a peak in the invariant mass spectrum of the ${D}_sbar{D}_{s1}(2536)$ channel at about 4626 MeV. It obviously favors the $Y(4265)$ as a ${D}^*_sbar{D}_{s1}(2536)$ molecular state. In the same model, other molecular states from the interaction ${D}^*_sbar{D}_{s1}(2536)-{D}_sbar{D}_{s1}(2536)$ are also predicted, which can be checked in future experiments.
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