Nucleon mass from a covariant three-quark Faddeev equation

TL;DR

This paper presents a covariant three-quark Faddeev equation approach to calculating the nucleon mass, incorporating chiral symmetry considerations, and shows good agreement with lattice QCD data and previous models.

Contribution

It introduces the first implementation of the full Poincare-covariant three-quark amplitude in the Faddeev equation for the nucleon, advancing hadron physics modeling.

Findings

Nucleon mass evolution matches lattice data.

Deviation from quark-diquark models is about 5%.

The approach is consistent with chiral symmetry and meson properties.

Abstract

We report the first study of the nucleon where the full Poincare-covariant structure of the three-quark amplitude is implemented in the Faddeev equation. We employ an interaction kernel which is consistent with contemporary studies of meson properties and aspects of chiral symmetry and its dynamical breaking, thus yielding a comprehensive approach to hadron physics. The resulting current-mass evolution of the nucleon mass compares well with lattice data and deviates only by ~5% from the quark-diquark result obtained in previous studies.