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 non-flip H(x, ζ, t) and spin flip E(x, ζ, t) part of GPDs for the particle conserving n → n overlap in the DGLAP region (ζ < x < 1). The Fourier transform (FT) of the GPDs w.r.t. to the transverse momentum transfer as well the FT of the GPDs w.r.t. ζ have also been obtained 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 H(x, σ, t) and E(x, σ, t) in the longitudinal position space.

Chiral-odd generalized parton distributions for proton in a light-front quark-diquark model

“…E T being an odd function of ζ, does not contribute at ζ = 0. For nonzero skewness one can also represent the GPDs in the longitudinal position space by taking FT of the GPDs with respect to ζ [9][10][11][12][13][14].…”

Transverse structure of electron in momentum space in basis light-front quantization

“…[55] using the lowest-order perturbation theory. Many other observables of the electron, e.g., the electromagnetic and gravitational form factors as well as spin and orbital angular momentum [56], generalized parton distributions (GPDs) [57][58][59][60],Wigner distributions [61], etc. have been investigated in a model based on the quantum fluctuations of the electron in QED.…”

Wigner distributions for an electron

“…We represent the spin-1 2 composite system with a mass M consist of spin- 1 2 fermion (electron) and spin-1 vector boson (photon) with respective masses m and λ. This model is also act as a guideline to nucleon strcture because electron-photon component of the physical electron can be used as a component of the nucleon wave function consists of a quark and a vector diquark and therefore it probes the structure of nucleon and widely used for the calculations of gravitational form factors and spin and orbital angualr momentum of a composite relativistic system [41], GPDs [42,43], ipdpdfs [44], charge and magnetization densities [45]. Recently this approach has been used to understand the electron TMDs in momentum plane [46].…”