Generalized parton distributions of the nucleon using the NJL model based on the Faddeev approach

Abstract

We study the generalized parton distributions, including the helicity-flip ones, using Nambu-Jona-Lasinio model based on a relativistic Faddeev approach with 'static approximation'. Sum rules relating the generalized parton distributions to nucleon electromagnetic form factors are satisfied. Moreover, quark-antiquark contributions in the region −ξ < x < ξ are non-vanishing. Our results are qualitatively similar to those calculated with Radyushkin's double distribution ansatz using forward parton distribution functions calculated in the NJL model as inputs.

Generalized parton distributions and the structure of the nucleon

“…The other approach is a direct calculation using effective quark models. After the first calculation within the MIT bag model [80], GPDs were calculated in the chiral quark-soliton model [81,82,83,84], the Nambu-Jona-Lasinio model [85], the light-front Hamiltonian approach [86], the nonrelativistic [87] and light-cone [88,89,90,91] constituent quark model, the meson-cloud model [92].…”

Effects of next-to-leading order DGLAP evolution on generalized parton distributions of the proton and deeply virtual Compton scattering at high energy

“…Therefore, one of directions of phenomenological studies of GPDs is to determine the nonperturbative input for these evolution equations. After early studies of GPDs using various dynamical models of the nucleon structure [19,20,21,22,23,24,25,26], one currently focuses on parameterizations of GPDs, which are determined from fitting the available data. The two main contemporary approaches include the flexible parameterization based on the conformal expansion of GPDs [27,28,29,30] and global fits of GPDs [31,32,33,34], which use the double distribution (DD) model [35,36,37,38,39] in the Vanderhaeghen-Guichon-Guidal (VGG) framework, see details in [33].…”