Chiral Odd Generalized Parton Distributions in Impact Parameter Space

TL;DR

This paper explores chiral odd generalized parton distributions (GPDs) in impact parameter space using a QED electron fluctuation model, revealing spin-orbit and spin correlations relevant to proton structure.

Contribution

It provides a novel representation of chiral odd GPDs in impact parameter space based on light-front wave functions, linking QED models to proton spin structure insights.

Findings

Demonstrates impact parameter space representation of GPDs

Reveals spin-orbit correlation effects

Shows correlation between constituent and transverse spins

Abstract

We investigate the chiral odd generalized parton distributions (GPDs) for the quantum fluctuations of an electron in QED. The light-front wave function (LFWF) of this system gives a template for the quark spin-one diquark structure of the valence LFWF of the proton. We express the GPDs in terms of overlaps of LFWFs and obtain their representation in impact parameter space when the momentum transfer is purely transverse. We show the spin-orbit correlation effect of the two-particle LFWF as well as the correlation between the constituent spin and the transverse spin of the target.