Revisit the $Z_c(4025)$ structure observed by BESIII in the $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^{\pm ,0}{\pi }^{\mp ,0}$ reactions at $\sqrt{s}=4.26$ GeV

Abstract

Within the framework of the local hidden gauge formalism, we have reanalyzed the hidden-charm vector-vector meson $D^{\ast }{\bar{D}}^{\ast }$, $K^{\ast }{\bar{K}}^{\ast }$, and $\rho \rho$ interactions with the quantum numbers $I(J^P)=1(1^{+})$. The estimation indicates that $D^{\ast }{\bar{D}}^{\ast }$ system could form a bound state around 4010 MeV. By comparing our theoretical estimation with the BESIII measurements of the $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^{\pm }{\pi }^{\mp }$ and $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^0{\pi }^0$ reactions at $\sqrt{s}=4.26$ GeV , we find that the enhancement structure of the $Z_c(4025)$ in the $D^{\ast }{\bar{D}}^{\ast }$ invariant mass distribution observed by BESIII could be interpreted by a shallow $D^{\ast }{\bar{D}}^{\ast }$ bound state.

Comments: 8 pages, 4 figures