Chiral odd GPDs in transverse and longitudinal impact parameter spaces

TL;DR

This paper explores chiral odd generalized parton distributions (GPDs) in transverse and longitudinal impact parameter spaces, using Fourier transforms of light-front wave functions in a relativistic electron model to reveal spin-orbit and spin correlations.

Contribution

It provides a novel analysis of chiral odd GPDs in impact parameter spaces, deriving overlap formulas in a relativistic model with detailed spin correlations.

Findings

Calculated chiral-odd GPDs in a relativistic electron model.

Revealed spin-orbit and spin-spin correlations in the proton.

Presented impact parameter space representations of GPDs.

Abstract

We investigate 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. We present overlap formulas for the chiral-odd GPDs in terms of light-front wave functions (LFWFs) of the proton both in the ERBL and DGLAP regions. We calculate them in a field theory inspired model of a relativistic spin 1/2 composite state with the correct correlation between the different LFWFs in Fock space, namely that of the quantum fluctuations of an electron in a generalized form of QED. 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.