Delta properties in the rainbow-ladder truncation of Dyson-Schwinger equations

TL;DR

This paper calculates nucleon and Delta-baryon properties using a Poincare-covariant approach based on Dyson-Schwinger equations, achieving results consistent with experimental and lattice data.

Contribution

It provides a consistent Dyson-Schwinger framework for baryon properties, including electromagnetic form factors, within the rainbow-ladder truncation.

Findings

Delta electromagnetic form factors agree with experimental data

The approach yields realistic nucleon and Delta masses

All ingredients are solutions of Dyson-Schwinger or Bethe-Salpeter equations

Abstract

We present a calculation of the three-quark core contribution to nucleon and Delta-baryon masses and Delta electromagnetic form factors in a Poincare-covariant Faddeev approach. A consistent setup for the dressed-quark propagator, the quark-quark, quark-'diquark' and quark-photon interactions is employed, where all ingredients are solutions of their respective Dyson-Schwinger or Bethe-Salpeter equations in a rainbow-ladder truncation. The resulting Delta electromagnetic form factors concur with present experimental and lattice data.