Generalized Parton Distributions of proton for non zero 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 $H(x,\zeta ,t)$ and spin flip $E(x,\zeta ,t)$ part of GPDs for the particle conserving $n\to n$ overlap in the DGLAP region $(\zeta <x<1)$. 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. $\zeta$ 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 $\mathcal{H}(x,\sigma ,t)$ and $\mathcal{E}(x,\sigma ,t)$ in the longitudinal position space.

16 pages, 6 figures. arXiv admin note: text overlap with arXiv:hep-ph/0611159, arXiv:0907.1998, arXiv:hep-ph/0412004 by other authors

References in corpus (7)

• Hadron Optics in Three-Dimensional Invariant Coordinate Space from Deeply Virtual Compton Scattering
• Hadron Optics: Diffraction Patterns in Deeply Virtual Compton Scattering
• Chiral odd GPDs in transverse and longitudinal impact parameter spaces
• Generalized Parton Distributions for the Proton in Position Space : Non-Zero Skewness
• Parton Distributions in Impact Parameter Space
• Charge and magnetization densities in transverse coordinate and impact parameter space
• Electromagnetic and gravitational form factors in simulated QED and Yukawa model

Cited by in corpus (6)

• Helicity-dependent generalized parton distributions for nonzero skewness
• Leading twist GTMDs at nonzero skewness and Wigner distributions in boost-invariant longitudinal position space
• Transverse distortion of a relativistic composite system in impact parameter space
• Effect of nuclear medium on the spatial distribution of pions
• Transverse distortion and single-spin asymmetries for low-lying octet baryons
• T-odd Wigner Distributions in boost-invariant longitudinal position space and Spin-momentum correlation in proton