Electromagnetic form factors of the Delta in a S-wave approach

TL;DR

This paper uses a relativistic quark model with a simple S-wave Delta wave function to predict electromagnetic form factors of the Delta baryon, achieving consistency with experimental and lattice data for some form factors.

Contribution

It introduces a parameter-free S-wave quark-diquark model to predict Delta electromagnetic form factors, extending previous nucleon-focused models.

Findings

E0 and M1 form factors match experimental and lattice results.

E2 and M3 form factors vanish due to symmetric Delta structure.

Model successfully predicts dominant electromagnetic properties of Delta.

Abstract

Without any further adjusting of parameters, a relativistic constituent quark model, successful in the description of the data for the nucleon elastic form factors and of the dominant contribution for the nucleon to Delta electromagnetic transition, is used here to predict the dominant electromagnetic form factors of the Delta baryon. The model is based on a simple Delta wave function corresponding to a quark-diquark system in an S-state. The results for E0 and M1 are consistent both with experimental results and lattice calculations. The remaining form factors E2 and M3 vanish, given the symmetric structure taken for the Delta.