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Studying the hidden-charm dipion decays of the charmoniumlike state Y(4360),we show that there exist charged charmoniumlike structures near $D\bar{D}^*$and $D^*\bar{D}^*$ thresholds in the $J/\psi\pi^+$, $\psi(2S)\pi^+$ and$h_c(1P)\pi^+$ invariant mass spectra of the corresponding hidden-charm dipiondecays of Y(4360) using the {\it{Initial Single Pion Emission} mechanism}. Wesuggest to do further experimental study on these predicted charged enhancementstructures, especially by BESIII, Belle, and the forthcoming BelleII.

Novel charged charmoniumlike structures in the hidden-charm dipion decays of Y(4360)