Generalized Parton Distributions from Hadronic Observables: Zero Skewness

Abstract

We propose a physically motivated parametrization for the unpolarized generalized parton distributions. At zero value of the skewness variable, $ζ$, the parametrization is constrained by simultaneously fitting the experimental data on both the nucleon elastic form factors and the deep inelastic structure functions. A rich phenomenology can be addressed based on this parametrization. In particular, we track the behavior of the average: {\it i)} interparton distances as a function of the momentum fraction, $X$, {\it ii)} $X$ as a function of the four-momentum transfer, $t$; and {\it iii)} the intrinsic transverse momentum $k_\perp$ as a function of $X$. We discuss the extension of our parametrization to $ζ\neq 0$ where additional constraints are provided by higher moments of the generalized parton distributions obtained from {\it ab initio} lattice QCD calculations.

42 pages, 21 figures