Four-quark states from functional methods

TL;DR

This paper employs a combined Dyson-Schwinger and Bethe-Salpeter equation framework in Landau gauge to study the properties, internal structure, and spectra of four-quark states, providing qualitative insights into their nature.

Contribution

It introduces a novel functional approach to analyze four-quark states, integrating truncated Dyson-Schwinger and Bethe-Salpeter equations for the first time in this context.

Findings

Qualitative mass spectra and decay widths obtained

Insights into internal structure of four-quark states

Overview of recent developments and future directions

Abstract

The discovery of four-quark states attracted a lot of attention from the theoretical as well as the experimental side. To study their properties from QCD we use a functional framework which combines (truncated) Dyson-Schwinger and Bethe-Salpeter equations in Landau gauge. This approach allows us to extract qualitative results for mass spectra, decay widths and wavefunctions of candidates for bound as well as resonant four-quark states. Furthermore, we can investigate the possible internal structure of such states. We report on recent developments and results using this functional framework and give an overview about the current status as well as future developments.