Diquark bound states with a completely crossed ladder truncation

TL;DR

This paper investigates diquark bound states using the Bethe-Salpeter equation with a novel resummation of crossed ladder diagrams, revealing the existence of diquark solutions influenced by color factors.

Contribution

It introduces a completely crossed ladder resummation in the Bethe-Salpeter kernel for diquarks, a novel approach in this context.

Findings

Diquark bound-state solutions are found.

Crossed ladder diagrams are significantly enhanced in the diquark channel.

The method confirms the existence of diquark states with this new truncation.

Abstract

The Bethe-Salpeter equation in the diquark channel is investigated by employing the Dyson-Schwinger method together with the Munczek-Nemirovsky model. The novelty of our study is a resummation of completely crossed ladder diagrams in the Bethe-Salpeter kernel. These diagrams are enhanced due to their color factors in the diquark channel, but not in the meson channel. In our analysis, diquark bound-state solutions exist in the Bethe-Salpeter equation.