Exploring the spectroscopic features of double-strangeness tetraquark states

Since the discovery of the $T_{cc}$ double-charm tetaquark by the LHCb collaboration, the field of the theoretical research on heavy quarks has advanced rapidly, with increasing interest in exploring the light quark sector. In this study, the quark model is employed to systematically analyze the double-strange tetraquark system. Both the meson-meson configuration and diquark-antidiquark configuration are considered. The interactions between hadron pairs under various quantum numbers, as well as the possibilities of bound states and resonances, are evaluated. The results indicate the presence of two bound states, $\bar{K}^{\ast }\bar{K}$ and $\bar{K}^{\ast }\bar{K}^{\ast}$, with quantum number $I(J^{P})=0(1^{+})$ in single-channel estimations. Additionally, by considering the channel coupling between the two configurations, a bound state with quantum numbers $I(J^{P})=0(1^{+})$ and a mass of approximately $1310$ MeV is obtained. Moreover, through the application of Resonance Ground Method, a resonance state is identified in the $I(J^{P})=0(1^{+})$ $\ssqq$ system, with an estimated mass of around 1783 MeV and a decay width of approximately 17 MeV.