Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

Version 1 : Received: 18 October 2023 / Approved: 19 October 2023 / Online: 19 October 2023 (10:40:01 CEST)

A peer-reviewed article of this Preprint also exists.

Tan, Y.; Wu, Y.; Huang, H.; Ping, J. Investigating Fully Strange Tetraquark System with Positive Parity in a Chiral Quark Model. Universe 2024, 10, 17. Tan, Y.; Wu, Y.; Huang, H.; Ping, J. Investigating Fully Strange Tetraquark System with Positive Parity in a Chiral Quark Model. Universe 2024, 10, 17.

Abstract

Motivated by the intriguing discovery of $X(6900)$ by LHCb Collaboration, we undertake a comprehensive study of the $s\bar{s}s\bar{s}$ tetraquark system in positive parity, employing the Gaussian expansion within the chiral quark model method. We consider two structures, diquark-antidiquark ($ss$-$\bar{s}\bar{s}$) structure and meson-meson ($s\bar{s}$-$s\bar{s}$)strcuture, encompassing all conceivable color and spin configurations. Despite the absence of bound states in our calculations, we have identified potential resonant states with $J^P=0^{+}$, namely $R(0,2150)$ and $R(0,2915)$, as well as a resonant state with $J^P=1^{+}$ denoted as $R(1,2950)$, and a resonant state with $J^P=2^{+}$ denoted as $R(2,2850)$, utilizing the real-scaling method. Through a comparison of their energies and widths, we propose that $R(0,2915)$ and $R(1,2950)$ may share characteristics with $X(6900)$, while $R(0,2150)$ could be a promising experimental candidate for $f_0(2100)$. We strongly advocate for experimental investigations to shed light on the existence and properties of these resonant states.

Keywords

quark model; real scaling method; resonance; Gaussian expansion

Subject

Physical Sciences, Nuclear and High Energy Physics

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