Generalized Parton Distributions of proton for nonzero skewness in transverse and longitudinal position spaces

Abstract

We investigate the Generalized Parton Distributions (GPDs) of proton by expressing them in terms of overlaps of light front wave functions (LFWFs) using a simulated model which is able to qualitatively improve the convergence near the end points of x. We study the spin nonflip H(x, ζ, t) and spin flip E(x, ζ, t) parts of GPDs for the particle conserving n → n overlap in the DGLAP region (ζ < x < 1). The Fourier transform (FT) of the GPDs with respect to the transverse momentum transfer as well as the FT of the GPDs with respect to ζ has also been obtained by giving the distribution of partons in the transverse position space and the distribution in the longitudinal position space, respectively. Diffraction pattern is obtained for both [Formula: see text] and [Formula: see text] in the longitudinal position space.