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 $\ensuremath{\zeta}$ and consider the region $x>\ensuremath{\zeta}$. 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.