The electroproduction of the $\Delta$(1232) in the chiral quark-soliton model

TL;DR

This paper uses the chiral quark-soliton model to calculate electromagnetic ratios in the electroproduction of the Delta(1232), providing insights into nucleon resonance transitions with qualitative agreement to experimental data.

Contribution

It applies the chiral quark-soliton model with rotational corrections to compute electroproduction ratios, offering a theoretical perspective on nucleon resonance phenomena.

Findings

Ratios E2/M1 and C2/M1 are calculated for photon virtualities 0 to 1 GeV^2.

Results qualitatively agree with experimental data but underestimate the ratios.

Magnetic dipole amplitude M1 is also provided.

Abstract

We calculate the ratios E2/M1 and C2/M1 for the electroproduction of the $\Delta$(1232) in the region of photon virtuality $0<-q^2<1$ GeV$^2$. The magnetic dipole amplitude M1 is also presented. The theory used is the chiral quark-soliton model, which is based in the instanton vaccum of the QCD. The calculations are performed in flavor SU(2) and SU(3) taking rotational ($1/N_c$) corrections into account. The results for the ratios agree qualitatively with the available data, although the magnitude of both ratios seems to underestimate the latest experimental results.