Reproducing the $Z_c(3900)$ structure through the initial-single-pion-emission mechanism

Abstract

Being stimulated by the recent BESIII observation of a charged charmoniumlike structure $Z_c(3900)$, in this work we study the distributions of the $J/\psi {\pi }^{\pm }$ and ${\pi }^{+}{\pi }^{-}$ invariant mass spectra of the $Y(4260)\to {\pi }^{+}{\pi }^{-}J/\psi$ decay by the initial-single-pion-emission mechanism, where the interference effects of the ISPE mechanism with two other decay modes are also taken into account. The obtained $d\Gamma (Y(4260)\to {\pi }^{+}{\pi }^{-}J/\psi )/d{m}_{J/\psi {\pi }^{\pm }}$ and $d\Gamma (Y(4260)\to {\pi }^{+}{\pi }^{-}J/\psi )/d{m}_{{\pi }^{+}{\pi }^{-}}$ marvelously agree with the BESIII data to reproduce the $Z_c(3900)$ structure.

Comments: 5 pages, 2 figures, 2 tables. Accepted by Phys. Rev. D