The Thomas-Fermi quark model and mesonic matter

TL;DR

This paper introduces a novel application of the Thomas-Fermi quark model to mesonic matter, aiming to understand multi-quark states like tetraquarks and distinguish them from baryonic matter.

Contribution

It presents the first results of applying the Thomas-Fermi model to mesonic matter and explores the potential stability of multi-quark states such as tetraquarks.

Findings

Initial results suggest possible stable multi-quark states.

The model differentiates mesonic matter from baryonic matter.

Provides a quick assessment tool for new multi-quark particles.

Abstract

The first results of a new application of the Thomas-Fermi statistical quark model to mesonic matter is presented. Interesting aspects of the theory are discussed, distinguishing such states from baryonic matter. A major motivation of this study is the tetraquark states discovered by the Belle and other collaborations and the possibility that stable multi-quark families of such states exist. Similar to our previous baryonic study, we use a two-inequivalent wave function approach to investigate aspects of multi-quark matter. We think of our model as a tool for quickly assessing the characteristics of new, possibly bound, particle states of higher quark number content, which can not yet be examined by lattice methods.