Contemporary continuum QCD approaches to excited hadrons

TL;DR

This paper discusses advanced continuum QCD methods for studying excited hadrons, focusing on the eigenvalue spectrum calculations of bound states using Bethe-Salpeter and Faddeev equations.

Contribution

It provides technical insights into computing the eigenvalue spectrum of excited hadrons within continuum QCD frameworks.

Findings

Detailed methodology for eigenvalue spectrum computation

Application to radially excited mesons and nucleons

Enhanced understanding of long-range QCD interactions

Abstract

Amongst the bound states produced by the strong interaction, radially excited meson and nucleon states offer an important phenomenological window into the long-range behavior of the coupling constant in Quantum Chromodynamics. We here report on some technical details related to the computation of the bound state's eigenvalue spectrum in the framework of Bethe-Salpeter and Faddeev equations.