Motivated by the analogous properties of the $Z_c(3900/3885)$ and $Z_{ cs}(3985/4000)$, we tentatively assign the $Z_c(4020/4025)$ as the $A\bar{ A}$-type hidden-charm tetraquark state with the $J^{ PC}=1^{ +-}$, where the $A$ denotes the axialvector diquark states, and explore the $A\bar{ A}$-type tetraquark states without strange, with strange and with hidden-strange via the QCD sum rules in a consistent way. Then we explore the hadronic coupling constants in the two-body strong decays of the tetraquark states without strange and with strange via the QCD sum rules based on rigorous quark-hadron duality, and acquire the partial decay widths and total decay widths. The present calculations support assigning the $Z_c(4020/4025)$ as the $A\bar{ A}$-type tetraquark state with the $J^{ PC}=1^{ +-}$, while the predictions for its strange cousin $Z_{ cs}$ state can be confronted to the experimental data in the future.
Categories: hep-ph