Generalized parton distributions for the proton in position space: Nonzero skewness

Abstract

We investigate the generalized parton distributions for u and d quarks in a proton in transverse and longitudinal position space using a recent phenomenological parametrization. We take nonzero skewness zeta and consider the region x > zeta. The impact parameter space representation of the generalized parton distribution E is found to depend sharply on the parameters used within the model, in particular, in the low x region. In the longitudinal position space a diffraction pattern is observed, as seen before in several other models.