Strong decays of the vector tetraquark states with the masses about 4.5\,GeV via the QCD sum rules

We suppose that there exist three vector hidden-charm tetraquark states with the JPC=1⁻⁻ at the energy about 4.5\,GeV, and investigate the two-body strong decays systematically. We obtain thirty QCD sum rules for the hadronic coupling constants based on rigorous quark-hadron duality, then obtain the partial decay widths, therefore the total widths approximately, which are compatible with the experimental data of the $Y(4500)$ from the BESIII collaboration. The $Y(4500)$ may be one vector tetraquark state having three main Fock components, or consists of three different vector tetraquark states. We can search for the typical decays Y → D̄⁰₁D⁰-D̄⁰D⁰₁√2, D̄⁻₁D⁺-D̄⁻D⁺₁√2, D̄⁰₀D*0-D̄*0D⁰₀√2, D̄⁻₀D*+-D̄*-D⁺₀√2, ηcω, J/ψω to diagnose the nature of the $Y(4500)$.