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.
Highlights
Understanding the structure of the nucleon in terms of its fundamental constituents, quarks and gluons, in three dimensions has attracted quite a lot of interest in hadron physics in recent days
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
Single spin asymmetries observed in semi-inclusive deep inelastic scattering (SIDIS) or Drell-Yan (DY) processes, where the target or one of the proton beams is polarized, depend on transverse momentum dependent parton distribution (TMDs) [1] that give the distribution of quarks and gluons in three-dimensional momentum space
Summary
Understanding the structure of the nucleon in terms of its fundamental constituents, quarks and gluons, in three dimensions has attracted quite a lot of interest in hadron physics in recent days. One such relation is between the Sivers function and the GPD Eq in impact parameter space, in some particular model where the final state interaction can be factored out in what is called a “chromodynamic lensing function” [7,8] This gives an intuitive picture of the Sivers effect in such models in terms of distortions in transverse impact parameter space, due to the nonzero orbital angular momentum of the active quark. Such relations do not hold if higher-order corrections are included.
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