On baryon properties from a covariant Faddeev approach

TL;DR

This paper presents a covariant Faddeev approach to baryon properties, solving the Poincare-covariant Faddeev equation with rainbow-ladder truncation, and explicitly analyzes the Delta-baryon, achieving a mass close to experimental values.

Contribution

It introduces a covariant Faddeev framework for baryons and provides explicit amplitude decompositions, including a successful Delta-baryon mass calculation.

Findings

Delta-baryon mass agrees well with experimental data

Explicit covariant decomposition of baryon amplitudes provided

Demonstrates the effectiveness of rainbow-ladder truncation in this context

Abstract

The Poincare-covariant Faddeev equation and its solution in rainbow-ladder truncation, i.e., with a generalized gluon exchange as irreducible two-particle-interaction, is presented. The covariant decomposition of baryon amplitudes, representing relativistic three-quark states, is discussed and explicitly given for the Delta-baryon. The calculated Delta mass compares favourably with the experimental one.