# Nucleon-to-Resonance Form Factors at Large Photon Virtualities

## TL;DR

This paper compares two theoretical frameworks for describing nucleon and resonance form factors at large photon virtualities, highlighting the importance of QCD-like momentum dependence for accurate predictions.

## Contribution

It introduces a unified approach to elastic and transition form factors and compares a QCD-kindred framework with a contact-interaction model, revealing key differences in their predictions.

## Key findings

- Contact-interaction produces harder form factors.
- QCD-kindred framework rectifies defects of contact-interaction.
- Results identify observables sensitive to QCD momentum dependence.

## Abstract

We present a unified description of elastic and transition form factors involving the nucleon and its resonances; in particular, the $N(1440)$, $\Delta(1232)$ and $\Delta(1600)$. We compare predictions made using a framework built upon a Faddeev equation kernel and interaction vertices that possess QCD-kindred momentum dependence with results obtained using a confining, symmetry-preserving treatment of a vector$\,\otimes\,$vector contact-interaction in a widely-used leading-order (rainbow-ladder) truncation of QCD's Dyson-Schwinger equations. This comparison explains that the contact-interaction framework produces hard form factors, curtails some quark orbital angular momentum correlations within a baryon, and suppresses two-loop diagrams in the elastic and transition electromagnetic currents. Such defects are rectified in our QCD-kindred framework and, by contrasting the results obtained for the same observables in both theoretical schemes, shows those objects which are most sensitive to the momentum dependence of elementary quantities in QCD.