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

Abstract

Within the framework of the local hidden gauge formalism, we have reanalyzed the hidden-charm vectorvector meson D * D * , K * K * , and ρρ interactions with the quantum numbers I(J P ) = 1(1 + ). The estimation indicates that D * D * system could form a bound state around 4010 MeV. By comparing our theoretical estimation with the BESIII measurements of the e + e − → (D * D * ) ± π ∓ and e + e − → (D * D * ) 0 π 0 reactions at √ s = 4.26 GeV , we find that the enhancement structure of the Z c (4025) in the D * D * invariant mass distribution observed by BESIII could be interpreted by a shallow D * D * bound state.