Impact-Parameter Dependence of the Diagonal GPD of the Pion from Chiral Quark Models

Abstract

We analyze the impact-parameter dependent diagonal non-singlet generalized parton distribution of the pion in two distinct chiral quark models: the Spectral Quark Model and the Nambu-Jona-Lasinio model. Leading-order perturbative QCD evolution from the low quark-model scale to higher scales is carried out with the help of the inverse Mellin transform. The model agrees very reasonably with the recent results from transverse-lattice calculations, while the forward parton distribution agrees with the experimental data.

4 pages, 3 figures, presented at "Light Cone Workshop: Hadrons and Beyond", 5-9 August 2003, University of Durham