Form Factors in the Quark Resonance Model

TL;DR

This paper analyzes vector and axial form factors within the quark resonance model, deriving new forms from excitation models and data, and fitting neutrino scattering data to determine axial form factors.

Contribution

It introduces a new form of form factors based on $$(1232) excitation models and fits neutrino scattering data to determine axial form factors.

Findings

Vector form factors agree with electron-proton data

Axial form factor fit yields $C_5^A(0)=0.88$

Model aligns with experimental scattering data

Abstract

Vector and axial form factors in the quark resonance model are analyzed with a combination of theoretical and phenomenological arguments. The new form of form factors is deduced from $\Delta$(1232) excitation models and available data. The vector part is shown to agree with the resonant contribution to electron-proton inclusive $F_2$ data. The axial part is obtained by finding a simultaneous fit to ANL and BNL $\frac{d \sigma}{d Q^2}$ neutrino scattering data. The best fit corresponds to $C_5^A(0)=0.88$ in the Rarita Schwinger formalism.