# Analytic parametrizations of the $\gamma^\ast N \to N(1440)$ form factors inspired by Light-Front holography

## TL;DR

This paper develops analytic parametrizations for the $\gamma^ ext{*} N o N(1440)$ form factors based on light-front holography, accurately fitting high-$Q^2$ data and emphasizing valence quark contributions.

## Contribution

It introduces new analytic functions for the form factors derived from light-front holography, incorporating meson and nucleon masses, with parameters fixed by nucleon data.

## Key findings

- Parametrizations fit data well for $Q^2 > 2$ GeV$^2$
- Highlights the dominance of valence quarks in the transition
- Provides a theoretical framework linking holography and form factors

## Abstract

We present analytic parametrizations for the $\gamma^\ast N \to N(1440)$ form factors derived from light-front holography in leading twist approximation. The new parametrizations describe the electromagnetic form factors using analytic functions dependent on the masses of the $\rho$ meson and respective radial excitations, as well as the masses of the nucleon and the resonance $N(1440)$. The free parameters of the model, associated with three independent couplings, are interpreted as bare couplings, and are fixed by the nucleon data for large $Q^2$. The proposed parametrizations compare remarkably well with the empirical data for $Q^2 > 2$ GeV$^2$, corroborating the dominant role of the valence quark degrees of freedom in the $\gamma^\ast N \to N(1440)$ transition.