Electromagnetic transition form factors of baryons in a relativistic Faddeev approach

TL;DR

This paper reviews a covariant Faddeev approach based on Dyson-Schwinger and Bethe-Salpeter equations to calculate electromagnetic transition form factors of baryons, providing insights into their internal structure and transitions.

Contribution

It introduces a relativistic three-quark bound state framework for baryons using a well-established QCD-based approximation, focusing on electromagnetic transition form factors.

Findings

Calculated transition form factors for octet and decuplet baryons.

Presented results for the $ ext{Sigma}^0$ to $ ext{Lambda}$ transition.

Discussed implications for baryon structure understanding.

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 $\Sigma^0$ to $\Lambda$ transition.