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.

arXiv comment16 pages, 6 figures. arXiv admin note: text overlap with arXiv:hep-ph/0611159, arXiv:0907.1998, arXiv:hep-ph/0412004 by other authors

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• Leading twist GTMDs at nonzero skewness and Wigner distributions in boost-invariant longitudinal position space
• Wigner distributions for an electron
• 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