Generalized parton distributions for the proton in position space: Zero skewness

Abstract

We present a study of the parton distributions in transverse position or impact parameter space using a recent parametrization of u and d quark generalized parton distributions (GPDs) H(x, t) andE(x, t) at zero skewness. We make a comparative study between different parametrizations and discuss the region of validity of the positivity condition.

Generalized parton distributions and transverse densities in a light-front quark–diquark model for the nucleons

“…In Fig. 9 we compare the two models for the proton GPD E( The similar behavior of the GPDs of a phenomenological model was observed in [59]. Another interesting feature of the behavior of all the GPDs is that the width of all the distributions in transverse impact parameter space decreases as x increases, which implies that the distributions are more localized near the center of momentum for higher values of x.…”

Generalized parton distributions for the proton in AdS/QCD

“…The details of the functional forms and the values of the parameters can be found in [29]. The impact parameter dependent GPDs from this model have been studied in [30]. One should remember that the valence GPDs we have considered here in AdS/QCD are not exactly the same as GPDs in this model and so exact agreement is not expected, but it is interesting to compare and contrast the overall behaviors of the GPDs from these two models as we expect that the valence GPDs dominate the overall behavior for the GPDs in a proton.…”

Generalized parton distributions for the proton in position space: Nonzero skewness

“…In a previous publication [23] we used the GPD parametrization of [19] at zero skewness to calculate the distributions of partons in the transverse impact parameter space. In this work,…”