The ground states and first radial excitations of the vector tetraquark states with explicit P-waves via the QCD sum rules

In this work, we choose diquark-antidiquark type four-quark currents with an explicit P-wave to study the ground states and first radial excitations of the hidden-charm tetraquark states with the quantum numbers JPC=1⁻⁻. And we obtain the lowest vector tetraquark masses and make possible assignments of the existing Y states. There indeed exists a hidden-charm tetraquark state with the JPC=1⁻⁻ at the energy about 4.75\,GeV as the first radial excitation to account for the BESIII data.