Investigating Fully Strange Tetraquark System with Positive Parity in a Chiral Quark Model

Motivated by the intriguing discovery of X(6900) by the LHCb collaboration, we undertake a comprehensive study of the ss over bar ss over bar tetraquark system with positive parity, employing the Gaussian expansion within the chiral quark model method. We consider two structures, the diquark-antidiquark (ss-s over bar s over bar ) structure and meson-meson (ss over bar -ss over bar ) structure, covering all conceivable color and spin configurations. Despite the absence of bound states in our calculations, we have identified potential resonant states with JP=0+, namely, R(0,2150) and R(0,2915), as well as a resonant state with JP=1+, denoted as R(1,2950), and a resonant state with JP=2+, denoted as R(2,2850), utilizing the real-scaling method. By comparing their energies and widths, we suggest that R(0,2915) and R(1,2950) may share characteristics with X(6900), while R(0,2150) could be a promising candidate for the experimental state f0(2100). We strongly advocate for experimental investigations to shed light on the existence and properties of these resonant states.