Abstract

The covariant Faddeev approach which describes baryons as relativistic three-quark bound states and is based on the Dyson-Schwinger and Bethe-Salpeter equations of QCD is briefly reviewed. All elements, including especially the baryons’ three-body-wave-functions, the quark propagators and the dressed quark-photon vertex, are calculated from a well-established approximation for the quark-gluon interaction. Selected previous results of this approach for the spectrum and elastic electromagnetic form factors of ground-state baryons and resonances are reported. The main focus of this talk is a presentation and discussion of results from a recent investigation of the electromagnetic transition form factors between ground-state octet and decuplet baryons as well as the octet-only Σ0 to Λ transition.

Highlights

  • Over the last decades we learned that the structure of baryons, including the nucleon, shows many previously unexpected features

  • There is no doubt that a description of baryons is possible within Quantum Chromo Dynamics (QCD) corresponding investigations are very challenging and computationally demanding

  • The here presented results are obtained in the so-called rainbow-ladder truncation with a widely used form of the quark-gluon interaction, the Maris-Tandy model [34]

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Summary

Introduction

Over the last decades we learned that the structure of baryons, including the nucleon, shows many previously unexpected features. As valence quarks are those constituents of hadrons which determine their quantum numbers the most important such function for the description of mesons and baryons within bound state equations is the quark two-point function, respectively, the quark propagator S .

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