Chiral Odd and Chiral Even Generalized Parton Distributions in Position Space

TL;DR

This paper explores chiral odd and even generalized parton distributions in position space using light-front wave functions, providing new insights into their spatial structure for non-zero skewness.

Contribution

It introduces a method to analyze chiral GPDs in position space for non-zero skewness using Fourier transforms of LFWFs, including both chiral odd and even cases.

Findings

Chiral odd GPDs in position space for non-zero skewness.

Chiral even GPDs analyzed in a phenomenological model.

Use of Fourier transforms of light-front wave functions.

Abstract

We present the chiral odd generalized parton distributions (GPDs) for non-zero skewness $\zeta$ in transverse and longitudinal position spaces by taking Fourier transform with respect to the transverse and longitudinal momentum transfer respectively using overlaps of light-front wave functions (LFWFs) in a simple model. We also present the chiral even GPDs in positon space in a phenomenological model.