Toward a Three-Quark Model for Nucleon GPDs

We taylor previously introduced methods for isolating individual quark helicity projection nucleon fluctuations by parametrizing projected matrix elements. We then write down the overlap representation of Generalized Parton Distributions (GPDs) in terms of definite quark orbital angular momentum Light Front Wave Functions. We proceed to express nucleonic Parton Distribution Functions, Electromagnetic Form Factors, and the expectation value of the electromagnetic radius as limits and sum rules of these GPDs.

Automated summary

In this paper, we introduce a method for identifying individual quark helicity projection nucleon fluctuations by parametrizing projected matrix elements. We then derive the overlap representation of Generalized Parton Distributions (GPDs) using specific quark orbital angular momentum Light Front Wave Functions. We further investigate the limits and sum rules of these GPDs to express nucleonic Parton Distribution Functions, Electromagnetic Form Factors, and the expectation value of the electromagnetic radius.