Generalized parton distributions in an AdS/QCD hard-wall model

We use a matching procedure of sum rules relating the electromagnetic form factors to generalized parton distributions and anti-de Sitter modes. In this way, in the framework of an AdS/QCD hard-wall model, the helicity-independent generalized parton distributions of quarks for the nucleon in the zero skewness case are calculated.

Figure 1

$H_v^q(x)$ in the holographical model for different values of $Q^2$.

Figure 2

$E_v^q(x)$ in the holographical model for different values of $Q^2$.

Figure 3

Plots for $q(x,{\mathbf{b}}_{\perp })$. The upper ones correspond to $u(x,{\mathbf{b}}_{\perp })$ and the lower to $d(x,{\mathbf{b}}_{\perp })$. Both cases are for $x=0.1$.

Figure 4

Parton charge $({\rho }_E({\mathbf{b}}_{\perp }))$ and magnetization $({\rho }_M({\mathbf{b}}_{\perp }))$ densities in transverse impact space.