Contact interaction treatment of the nucleon Faddeev equation

TL;DR

This paper introduces an algebraic three-body Faddeev equation approach using a contact interaction to study nucleon properties, providing transparent insights and comparisons with realistic models to understand hadron mass emergence.

Contribution

It presents a largely algebraic, symmetry-preserving Faddeev equation method with a contact interaction for nucleon bound states, enhancing understanding of baryon observables.

Findings

Predictions for nucleon charge and magnetisation distributions.

Insights into the sensitivity of observables to hadron mass emergence.

Comparison with realistic-interaction studies highlights key phenomena.

Abstract

Working with a symmetry-preserving treatment of a vector $\otimes$ vector contact interaction (SCI), a largely algebraic three-body Faddeev equation treatment of the nucleon bound state problem is introduced and used to deliver results for all nucleon charge and magnetisation distributions and their flavour separation. A strength of the SCI treatment is that it provides for a transparent understanding of this three-body approach to developing predictions for baryon observables. Comparisons of SCI results with predictions obtained in realistic-interaction Faddeev equation studies reveal the sensitivities of given observable to phenomena associated with the emergence of hadron mass.