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

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 $4.75\mathrm{GeV}$ as the first radial excitation to account for the BESIII data.

12 pages, 4 figures

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Cited by in corpus (3)

• Mass spectrum of the hidden-charm hybrid states via the QCD sum rules
• Two-body strong decays of the hidden-charm tetraquark molecular states via the QCD sum rules
• Analysis of the $X(4475/4710)$, $X(4500/4700)$, $Z_c(4600)$, $Z_{\bar{c}\bar{s}}(4600)$ and related tetraquark states with the QCD sum rules