On light baryons and their excitations

TL;DR

This paper investigates the spectra of light baryons and their excitations using Dyson-Schwinger and Faddeev equations, emphasizing the importance of momentum-dependent quark-gluon interactions and comparing different computational frameworks.

Contribution

It introduces an improved approach accounting for momentum-dependent dynamics and compares three-body and quark-diquark methods, achieving spectra consistent with experimental data.

Findings

Both methods yield similar spectra.

Results align with experimental observations.

Mass evolution studied with varying pion mass.

Abstract

We study ground states and excitations of light octet and decuplet baryons within the framework of Dyson-Schwinger and Faddeev equations. We improve upon similar approaches by explicitly taking into account the momentum-dependent dynamics of the quark-gluon interaction that leads to dynamical chiral symmetry breaking. We perform calculations in both the three-body Faddeev framework and the quark-diquark approximation in order to assess the impact of the latter on the spectrum. Our results indicate that both approaches agree well with each other. The resulting spectra furthermore agree one-to-one with experiment, provided well-known deficiencies of the rainbow-ladder approximation are compensated for. We also discuss the mass evolution of the Roper and the excited Delta with varying pion mass and analyse the internal structure in terms of their partial wave decompositions.