Abstract
In 2017, the BESIII Collaboration announced the observation of a charged charmonium-like structure in the psi (3686)pi ^pm invariant mass spectrum of the e^+ e^- rightarrow psi (3686) pi ^+ pi ^- process at different energy points, which enables us to perform a precise study of this process based on the initial single pion emission (ISPE) mechanism. In this work, we perform a combined fit to the experimental data of the cross section of e^+ e^- rightarrow psi (3686) pi ^+ pi ^-, and the corresponding psi (3686)pi ^pm and dipion invariant mass spectra. Our result shows that the observed charged charmonium-like structure in e^+ e^- rightarrow psi (3686) pi ^+ pi ^- can be well reproduced based on the ISPE mechanism, and that the corresponding dipion invariant mass spectrum and cross section can be depicted with the same parameters. In fact, it provides strong evidence that the ISPE mechanism can be an underlying mechanism resulting in such novel a phenomenon.
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