Helicity-dependent generalized parton distributions for nonzero skewness

TL;DR

This paper explores helicity-dependent generalized parton distributions (GPDs) in momentum and impact spaces for up and down quarks in a proton, using a light-front quark-diquark model based on AdS/QCD, including their representation in longitudinal position space.

Contribution

It introduces a novel calculation of helicity-dependent GPDs in both momentum and impact spaces using a soft-wall AdS/QCD inspired light-front wavefunction model.

Findings

GPDs are evaluated for nonzero transverse and longitudinal momentum transfer.

GPDs are expressed in boost-invariant longitudinal position space.

The model provides insights into the internal structure of the proton.

Abstract

We investigate the helicity dependent generalized parton distributions (GPDs) in momentum as well as transverse position (impact) spaces for up and down quarks in a proton when the momentum transfer in both the transverse and longitudinal directions are nonzero. The GPDs are evaluated using the light-front wavefunctions of a quark-diquark model for nucleon where the wavefunctions are constructed by the soft-wall AdS/QCD correspondence. We also express the GPDs in the boost-invariant longitudinal position space.