Multiquark States in the Thomas-Fermi Quark Model and on the Lattice

TL;DR

This paper explores the use of a Thomas-Fermi quark model to identify systematic energy trends in multiquark states, aiming to discover families of bound mesonic states beyond traditional models.

Contribution

It introduces a novel application of the Thomas-Fermi quark model to multiquark states, providing a framework to analyze energy trends and identify potential new bound states.

Findings

Numerical results suggest systematic energy patterns in multiquark configurations.

The model indicates potential families of bound states beyond conventional mesons.

Application of the model aligns with lattice QCD insights.

Abstract

We describe work being done at Baylor University investigating the possibility of new states of mesonic matter containing two or more quark-antiquark pairs. To put things in context, we begin by describing the lattice approach to hadronic physics. We point out there is a need for a quark model which can give an overall view of the quark interaction landscape. A new application of the Thomas-Fermi (TF) statistical quark model is described, similar to a previous application to baryons. The main usefulness of this model will be to detect systematic energy trends in the composition of the various particles. It could be a key to identifying {\it families} of bound states, rather than individual cases. Numerical results based upon a set of parameters derived from a phenomenological model of tetraquarks are given.