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

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.