Study of light tetraquark spectroscopy

TL;DR

This paper predicts the masses of light tetraquark states using a constituent quark model with a Cornell-like potential, comparing results with observed mesons to identify potential tetraquark candidates.

Contribution

It introduces a mass-dependent parameterization based on Lattice QCD data for calculating light tetraquark masses within a constituent quark model.

Findings

Predicted light tetraquark masses align with some observed exotic mesons.

Identified potential ground tetraquark states as $f_0(1500)$ and $f_0(1710)$.

Model parameters are fixed using meson data across different flavors.

Abstract

We calculate the masses of the $qq\bar q\bar q$ tetraquark ground state and first radial excited state in a constituent quark model where the Cornell-like potential and one-gluon exchange spin-spin coupling are employed. The three coupling parameters for the Cornell-like potential and one-gluon exchange spin-spin coupling are proposed mass-dependent in accordance with Lattice QCD data, and all model parameters are predetermined by studying light, charmed and bottom mesons. The theoretical predictions for light tetraquarks are compared with the observed exotic meson states in the light-unflavored meson sector, and tentative assignments are suggested. The work suggests that the $f_0(1500)$ and $f_0(1710)$ might be ground light tetraquark states with $J=0$.