Predicted charged charmonium-like structures in the hidden-charm dipion decay of higher charmonia

In this work, we predict two charged charmonium-like structures close to the $D^{\ast }\bar{D}$ and $D^{\ast }{\bar{D}}^{\ast }$ thresholds, where the Initial Single Pion Emission mechanism is introduced in the hidden-charm dipion decays of higher charmonia $\psi (4040)$, $\psi (4160)$, $\psi (4415)$ and charmonium-like state Y(4260). We suggest BESIII to search for these structures in the $J\mathrm{/}\psi {\pi }^{+}$, $\psi (2S){\pi }^{+}$ and $h_b(1P){\pi }^{+}$ invariant mass spectra of the $\psi (4040)$ decays into $J\mathrm{/}\psi {\pi }^{+}{\pi }^{-}$, $\psi (2S){\pi }^{+}{\pi }^{-}$ and $h_b(1P){\pi }^{+}{\pi }^{-}$. In addition, the experimental search for these structures in the $J\mathrm{/}\psi {\pi }^{+}$, $\psi (2S){\pi }^{+}$ and $h_c(1P){\pi }^{+}$ invariant mass spectra of the $\psi (4260)$ hidden-charm dipion decays will be accessible at Belle and BaBar.