Three-quark clusters at finite temperatures and densities

TL;DR

This paper develops a relativistic three-body equation to analyze quark correlations in hot, dense media, incorporating medium effects and relativity, and applies it to QCD near the confinement transition.

Contribution

It introduces a systematic Dyson equation-based relativistic three-body framework including medium effects and applies it to QCD conditions.

Findings

Calculated two- and three-particle binding energies.

Identified the three-body Mott transition.

Analyzed correlations near the confinement-deconfinement transition.

Abstract

We present a relativistic three-body equation to study correlations in a medium of finite temperatures and densities. This equation is derived within a systematic Dyson equation approach and includes the dominant medium effects due to Pauli blocking and self energy corrections. Relativity is implemented utilizing the light front form. The equation is solved for a zero-range force for parameters close to the confinement-deconfinement transition of QCD. We present correlations between two- and three-particle binding energies and calculate the three-body Mott transition.