Low-Q^2 scaling behavior of the form-factor ratios for the N\Delta(1232)-transition

TL;DR

This paper investigates the scaling behavior of nucleon electromagnetic form factors, proposing a gauge-invariant Lagrangian for the NΔ(1232) transition that explains observed quasi-scaling in form factor ratios at moderate momentum transfers.

Contribution

It introduces a new gauge-invariant Lagrangian for the NΔ transition that accounts for quasi-scaling behavior of form factor ratios, aligning with experimental data.

Findings

Form factor ratios exhibit quasi-scaling behavior.

The proposed Lagrangian maintains internal symmetries.

Good agreement with experimental data at Q^2 > 0.4 GeV^2.

Abstract

We address the issue of the scaling behavior of the nucleon electromagnetic form factors (FFs). We propose a consistent Lagrangian of the electromagnetic N\Delta(1232)-interaction possessing all the internal symmetries of the spin-3/2 baryon resonance, point and gauge invariance. The point and gauge invariant FFs may exhibit quasi-scaling behavior--while the FFs do not reach asymptotic scaling domain, the ratios thereof do. The hypothesis of the quasi-scaling is in good agreement with the experimental data available at Q^2 > 0.4 GeV^2.