Baryons with functional methods

TL;DR

This paper uses functional methods to study baryon spectra and form factors, explicitly incorporating momentum-dependent quark-gluon dynamics, achieving good agreement with experimental data and comparing different theoretical frameworks.

Contribution

It advances the functional approach by explicitly including momentum-dependent quark-gluon interactions, improving the understanding of baryon spectra and form factors.

Findings

Baryon spectra agree well with experimental data.

No significant spectral differences between three-body and quark-diquark models.

Electromagnetic form factors can distinguish between theoretical frameworks.

Abstract

We summarise recent results on the spectrum of ground-state and excited baryons and their form factors in the framework of functional methods. As an improvement upon similar approaches we explicitly take into account the underlying momentum-dependent dynamics of the quark-gluon interaction that leads to dynamical chiral symmetry breaking. For light octet and decuplet baryons we find a spectrum in very good agreement with experiment, including the level ordering between the positive- and negative-parity nucleon states. Comparing the three-body framework with the quark-diquark approximation, we do not find significant differences in the spectrum for those states that have been calculated in both frameworks. This situation is different in the electromagnetic form factor of the $\Delta$, which may serve to distinguish both pictures by comparison with experiment and lattice QCD.