Relations between generalized parton distributions and transverse momentum dependent parton distributions

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.

minor changes, errors in some references are corrected

References in corpus (17)

• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Relations between generalized and transverse momentum dependent parton distributions
• Transverse-momentum distributions in a diquark spectator model
• Generalized parton correlation functions for a spin-1/2 hadron
• Quark Wigner Distributions and Orbital Angular Momentum
• Spin Structure of the Nucleon - Status and Recent Results
• The transverse momentum dependent distribution functions in the bag model
• Pretzelosity $h_{1T}^{\perp }$ and quark orbital angular momentum
• A light front quark-diquark model for the nucleons
• Connection between the Sivers function and the anomalous magnetic moment
• Nucleon parton distributions in a light-front quark model
• Sivers and $\cos 2\varphi$ Asymmetries in Semi-inclusive Deep Inelastic Scattering in Light-front Holographic Model
• Scaling of PDFs, TMDs, and GPDs in soft-wall AdS/QCD
• Hadron Tomography
• Model predictions for azimuthal spin asymmetries for HERMES and COMPASS kinematics
• New findings in gluon TMD physics
• Quark angular momentum in a spectator model