$\mathbf{\gamma_{v} NN^{\ast}}$ Electrocouplings in Dyson-Schwinger Equations

TL;DR

This paper uses Dyson-Schwinger equations to study nucleon and delta electromagnetic form factors, emphasizing the importance of momentum dependence and dynamical chiral symmetry breaking in understanding hadron properties.

Contribution

It presents a unified nonperturbative framework for calculating hadron form factors, comparing QCD-like momentum-dependent interactions with contact interactions.

Findings

QCD-like momentum dependence improves agreement with experimental data.

DCSB is crucial for accurate hadron property descriptions.

Form factor predictions highlight the sensitivity to the running coupling.

Abstract

A symmetry preserving framework for the study of continuum Quantum Chromodynamics (QCD) is obtained from a truncated solution of the QCD equations of motion or QCD's Dyson-Schwinger equations (DSEs). A nonperturbative solution of the DSEs enables the study of, e.g., hadrons as composites of dressed-quarks and dressed-gluons, the phenomena of confinement and dynamical chiral symmetry breaking (DCSB), and therefrom an articulation of any connection between them. It is within this context that we present a unified study of Nucleon, Delta and Roper elastic and transition electromagnetic form factors, and compare predictions made using a framework built upon a Faddeev equation kernel and interaction vertices that possess QCD-like momentum dependence with results obtained using a symmetry-preserving treatment of a vector$\,\otimes\,$vector contact-interaction. The comparison emphasises that experiment is sensitive to the momentum dependence of the running coupling and masses in QCD and highlights that the key to describing hadron properties is a veracious expression of dynamical chiral symmetry breaking in the bound-state problem.