The $ss\bar{s}\bar{s}$ tetraquark states and the newly observed structure $X(2239)$ by BESIII Collaboration

Abstract

We investigate the mass spectrum of the $ss\bar{s}\bar{s}$ tetraquark states within the relativized quark model. By solving the Schrödinger-like equation with the relativized potential, the masses of the $S-$ and $P-$wave $ss\bar{s}\bar{s}$ tetraquarks are obtained. The screening effects are also taken into account. It is found that the observed resonant structure $X(2239)$ in the $e^{+}{e}^{-}\to K^{+}{K}^{-}$ process by BESIII Collaboration can be assigned as a $P-$wave $1^{--}$ $ss\bar{s}\bar{s}$ tetraquark state. Furthermore, the radiative transition and strong decay behaviors of this structure are also estimated, which can provide helpful information for future experimental searches.

Comments: 7 pages, 2 figures. Add the strong decay behaviors. Version accepted by Chinese Physics C