3 years ago

$Z_c(3900)/Z_c(3885)$ Z c ( 3900 ) / Z c ( 3885 ) as a virtual state from $\pi J/\psi -\bar{D}^*D$ π J / ψ - D ¯ ∗ D interaction

Dian-Yong Chen, Jun He

Abstract

In this work, we study the \({\pi \!}J{\!/}\psi \) and \(\bar{D}^*D\) invariant mass spectra of the Y(4260) decay to find out the origin of the \(Z_c(3900)\) and \(Z_c(3885)\) structures. The \({\pi \!}J{\!/}\psi -\bar{D}^{*}D\) interaction is studied in a coupled-channel quasipotential Bethe–Saltpeter equation approach, and embedded to the Y(4260) decay process to reproduce both \({\pi ^{-}\!}J{\!/}\psi \) and \(D^{*-}D^0\) invariant mass spectra observed at BESIII simultaneously. It is found out that a virtual state at energy about 3870 MeV is produced from the interaction when both invariant mass spectra are comparable with the experiment. The results support that both \(Z_c(3900)\) and \(Z_c(3885)\) have the same origin, that is, a virtual state from \({\pi \!}J{\!/}\psi -\bar{D}^*{D}\) interaction, in which the \(\bar{D}^*{D}\) interaction is more important and the coupling between \(\bar{D}^*{D}\) and \({\pi \!}J{\!/}\psi \) channels plays a minor role.

Publisher URL: https://link.springer.com/article/40/epjc/s10052-018-5580-z

DOI: 10.1140/epjc/s10052-018-5580-z

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