Generalized Transverse-Momentum Dependent Parton Distributions in Light-Cone Quark Models

TL;DR

This paper develops a formalism for calculating generalized transverse-momentum dependent parton distributions within light-cone quark models, revealing non-trivial orbital motion effects in unpolarized nucleons.

Contribution

It introduces a comprehensive formalism for off-diagonal quark correlators and applies it to two light-cone quark models, highlighting orbital motion contributions.

Findings

Distributions show non-trivial shapes due to quark orbital motion

Results are consistent across different light-cone quark models

Orbital motion significantly influences nucleon structure

Abstract

We discuss the general formalism for the calculation in light-cone quark models of the fully unintegrated, off-diagonal quark-quark correlator of the nucleon. The corresponding distributions in impact parameter space are the Wigner or phase-space distributions. The results obtained in two different light-cone quark models in the case of unpolarized quarks in an unpolarized proton are very similar and present a non-trivial shape which can be understood as due to the orbital motion of the quarks.