Angular Momentum Distribution in the Transverse Plane

TL;DR

This paper examines various methods to connect the t-dependence of GPDs to angular momentum distribution in the transverse plane, highlighting limitations of existing models and proposing insights from light-front wavefunctions.

Contribution

It demonstrates that common models do not accurately describe the orbital angular momentum distribution derived from light-front wavefunctions.

Findings

Existing models fail to match the orbital angular momentum distribution from light-front wavefunctions.

The study emphasizes the need for improved models to accurately relate GPD t-dependence to angular momentum.

Highlights limitations of spectator models in describing transverse angular momentum distribution.

Abstract

Several possibilities to relate the $t$-dependence of Generalized Parton Distributions (GPDs) to the distribution of angular momentum in the transverse plane are discussed. Using a simple spectator model we demonstrate that non of them correctly describes the orbital angular momentum distribution that for a longitudinally polarized nucleon obtained directly from light-front wavefunctions.