Two-body strong decays of the pseudoscalar hidden-charm tetraquark states via the QCD sum rules

In this work, we study the properties of the pseudoscalar hidden-charm tetraquark states by analyzing their two-body strong decays via the QCD sum rules based on rigorous quark-hadron duality. We take into account the vacuum condensates up to dimension 5 on the QCD side, and obtain the hadronic coupling constants. At last, we obtain the total decay widths $\mathrm{\Gamma }(Z_c^{-})=326.20_{-3.11}^{+4.26}$ MeV and $\mathrm{\Gamma }(Z_c^{+})=91.84_{-0.76}^{+0.96}$ MeV, respectively, where the $Z_c^{+}$($J^{PC}=0^{-+}$) and $Z_c^{-}$($J^{PC}=0^{--}$) denote the pseudoscalar hidden-charm tetraquarks with the diquark-antidiquark structures $[uc{]}_A[\bar{d}\bar{c}{]}_V-[uc{]}_V[\bar{d}\bar{c}{]}_A$ and $[uc{]}_A[\bar{d}\bar{c}{]}_V+[uc{]}_V[\bar{d}\bar{c}{]}_A$, respectively.