Generalized parton distributions in the impact parameter space with nonzero skewedness

Abstract

We investigate the generalized parton distributions (GPDs) with nonzero $\ensuremath{\xi}$ and ${\ensuremath{\Delta}}^{\ensuremath{\perp}}$ for a relativistic spin-$1/2$ composite system, namely, for an electron dressed with a photon, in light-front framework by expressing them in terms of overlaps of light-cone wave functions. The wave function provides a template for the quark spin-one diquark structure of the valence light-cone wave function of the proton. We verify the inequalities among the GPDs with different helicities and show the qualitative behavior of the fermion and gauge boson GPDs in the impact parameter space.