Strong decays of the vector tetraquark states with the masses about $4.5\mathrm{G}\mathrm{e}\mathrm{V}$ via the QCD sum rules

We suppose that there exist three vector hidden-charm tetraquark states with the $J^{PC}=1^{--}$ at the energy about $4.5\mathrm{G}\mathrm{e}\mathrm{V}$, 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 $Y\to \frac{{\bar{D}}_1^0{D}^0-{\bar{D}}^0{D}_1^0}{\sqrt{2}}$, $\frac{{\bar{D}}_1^{-}{D}^{+}-{\bar{D}}^{-}{D}_1^{+}}{\sqrt{2}}$, $\frac{{\bar{D}}_0^0{D}^{\ast 0}-{\bar{D}}^{\ast 0}{D}_0^0}{\sqrt{2}}$, $\frac{{\bar{D}}_0^{-}{D}^{\ast +}-{\bar{D}}^{\ast -}{D}_0^{+}}{\sqrt{2}}$, ${\eta }_c\omega$, $J\mathrm{/}\psi \omega$ to diagnose the nature of the $Y(4500)$.