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

TL;DR

This paper uses QCD sum rules with explicit P-wave diquark-antidiquark currents to study ground and excited vector tetraquark states, identifying a candidate at 4.75 GeV for the BESIII Y states.

Contribution

It introduces a novel approach with explicit P-wave currents to analyze vector tetraquark states and proposes a specific excited state as an explanation for experimental data.

Findings

Identified a hidden-charm tetraquark at about 4.75 GeV as a first radial excitation.

Provided mass predictions for ground and excited vector tetraquark states.

Suggested a possible assignment for the observed Y states in experiments.

Abstract

In this work, we choose the diquark-antidiquark type four-quark currents with an explicit P-wave between the diquark and antidiquark pairs to study the ground states and first radial excitations of the hidden-charm tetraquark states with the quantum numbers $J^{PC}=1^{--}$. 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 $J^{PC}=1^{--}$ at the energy about $4.75\,\rm{GeV}$ as the first radial excitation to account for the BESIII data.