A covariant view on the nucleons' quark core

TL;DR

This paper develops a Poincare covariant Faddeev approach to model the nucleon's quark core, using Landau gauge QCD results and lattice data, to calculate nucleon properties including mass and form factors.

Contribution

It introduces a covariant three-quark amplitude framework for nucleons based on QCD propagator results, integrating pion cloud effects for comprehensive property calculations.

Findings

Calculated nucleon mass and electromagnetic form factors as functions of quark mass.

Compared model results with lattice data and experimental measurements.

Analyzed the impact of pion cloud contributions on nucleon properties.

Abstract

Established results for the quark propagator in Landau gauge QCD, together with a detailed comparison to lattice data, are used to formulate a Poincare covariant Faddeev approach to the nucleon. The resultant three-quark amplitudes describe the quark core of the nucleon. The nucleon's mass and its electromagnetic form factors are calculated as functions of the current quark mass. The corresponding results together with charge radii and magnetic moments are discussed in connection with the contributions from various ingredients in a consistent calculation of nucleon properties, as well as the role of the pion cloud in such an approach.