In this work, we predict two charged charmoniumlike enhancement structures close to the D*D̄ and D*D̄* thresholds, where the Initial Single Pion Emission mechanism is introduced in the hidden-charm dipion decays of higher charmonia ψ(4040), ψ(4160), ψ(4415) and charmoniumlike state $Y(4260)$. We suggest BESIII to search for these structures in the J/ψπ⁺, ψ(2S)π⁺ and hb(1P)π⁺ invariant mass spectra of the ψ(4040) decays into J/ψπ⁺π^-, ψ(2S)π⁺π^- and hb(1P)π⁺π^-. In addition, the experimental search for these enhancement structures in the J/ψπ⁺, ψ(2S)π⁺ and hc(1P)π⁺ invariant mass spectra of the ψ(4260) hidden-charm dipion decays will be accessible at Belle and BABAR.
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Chen et al. (2011) studied this question.
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