Revisiting the Zc(4025) structure observed by BESIII in e+e−→(D *D¯ *)±,0π∓,0 at s=4.26  GeV

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