Transverse momentum dependent distribution functions in a covariant parton model approach with quark orbital motion

TL;DR

This paper investigates transverse momentum dependent distribution functions (TMDs) of the nucleon using a covariant model that incorporates quark orbital motion, demonstrating model consistency and relations among TMDs.

Contribution

It introduces a covariant approach to model TMDs, including quark orbital motion, and explores model relations and the non-relativistic limit.

Findings

Demonstrates the consistency of the covariant model for TMDs.

Establishes relations among different TMDs within the model.

Shows how to formulate the non-relativistic limit of the approach.

Abstract

Transverse parton momentum dependent distribution functions (TMDs) of the nucleon are studied in a covariant model, which describes the intrinsic motion of partons in terms of a covariant momentum distribution. The consistency of the approach is demonstrated, and model relations among TMDs are studied. As a byproduct it is shown how the approach allows to formulate the non-relativistic limit.