Relations between generalized parton distributions and transverse momentum dependent parton distributions

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 Eq 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.

Automated summary

In this study, the relations between transverse momentum dependent parton distributions (TMDs) and generalized parton distributions (GPDs) were investigated in a light-front quark-diquark model inspired by soft-wall AdS/QCD. Many relations with similar structures were found in different models. It was discovered that a relation between the Sivers function and the GPD equation could be obtained in this model using a lensing function. Additionally, the calculation of quark orbital angular momentum was compared with results from similar models, and implications of the findings were discussed. Relations among different TMDs in the model were also presented.