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

TL;DR

This paper demonstrates that the $Z_c(3900)$ structure observed in experiments can be reproduced by modeling the decay of $Y(4260)$ through the initial-single-pion-emission mechanism, including interference effects, matching experimental data.

Contribution

The study introduces a detailed analysis of the $Z_c(3900)$ structure using the ISPE mechanism with interference effects, providing a new explanation consistent with experimental observations.

Findings

Successfully reproduces the $Z_c(3900)$ structure in invariant mass spectra.

Shows agreement between theoretical calculations and BESIII experimental data.

Highlights the importance of interference effects in decay mechanisms.

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 $d\Gamma(Y(4260)\to \pi^+\pi^- J/\psi)/dm_{J/\psi \pi^\pm}$ and $d\Gamma(Y(4260)\to \pi^+\pi^- J/\psi)/dm_{\pi^+ \pi^-}$ marvelously agree with the BESIII data to reproduce the $Z_c(3900)$ structure.