Regge behaviour within the Bethe-Salpeter approach

TL;DR

This paper calculates the spectrum of quark bound states using Dyson-Schwinger/Bethe-Salpeter equations, extending the formalism to include angular momentum J=3, to explore Regge trajectories and predict tensor states.

Contribution

It introduces an extension of the Bethe-Salpeter formalism to include J=3 states, enabling the study of Regge trajectories and tensor quarkonia predictions.

Findings

Predicted tensor bound states for light and heavy quarkonia.

Explored Regge trajectories within the Bethe-Salpeter framework.

Extended formalism to include total angular momentum J=3.

Abstract

We present a calculation of the spectrum of light and heavy quark bound states in the rainbow-ladder truncation of Dyson-Schwinger/Bethe-Salpeter equations. By extending the formalism include the case of total angular momentum J=3, we are able to explore Regge trajectories and make prediction of tensor bound states for light and heavy quarkonia.