Relations between generalized parton distributions and transverse momentum dependent parton distributions

TL;DR

This paper explores the theoretical connections between TMDs and GPDs within a light-front quark-diquark model, revealing new relations and insights into quark orbital angular momentum and parton distributions.

Contribution

It introduces a model-based analysis of TMD-GPD relations, including a lensing function relation for the Sivers function and comparisons of orbital angular momentum results.

Findings

Identified relations between TMDs and GPDs in the model.

Derived a lensing function relation for the Sivers function.

Compared quark orbital angular momentum with other models.

Abstract

We investigate the relations between transverse momentum dependent parton distributions (TMDs) and generalized parton distributions (GPDs) in a light-front quark-diquark model motivated by soft wall AdS/QCD. Many relations are found to have similar structure in different models. It is found that a relation between the Sivers function and the GPD $E_q$ can be obtained in this model in terms of a lensing function. The quark orbital angular momentum is calculated and the results are compared with the results in other similar models. Implications of the results are discussed. Relations among different TMDs in the model are also presented.