Elastic and Transition Form Factors in DSEs

TL;DR

This paper employs Dyson-Schwinger equations to develop a symmetry-preserving framework for studying hadron form factors, revealing insights into confinement, DCSB, and hadron structure in continuum QCD.

Contribution

It introduces a unified approach to compute nucleon, Delta, and Roper form factors using a QCD-like interaction kernel and compares it with contact-interaction models.

Findings

QCD-like interaction predicts form factors consistent with experimental data.

Contact-interaction results differ significantly from QCD-like predictions.

Framework links hadron structure to fundamental QCD phenomena.

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 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.