Analysis of the vector hidden-charm-hidden-strange tetraquark states with implicit P-waves

Abstract

We take the scalar, pseudoscalar, axialvector, vector and tensor diquarks as the basic building blocks to construct the four-quark currents with implicit P-waves, and investigate the hidden-charm-hidden-strange tetraquark states with the $J^{PC}=1^{--}$ and $1^{-+}$ via the QCD sum rules in a comprehensive and consistent way, and revisit the assignments of the $X/Y$ states, especially the $Y(4500)$, $X(4630)$, $Y(4660)$, $Y(4710)$ and $Y(4790)$, in the tetraquark picture.