Impact-parameter dependence of the generalized parton distribution of the pion in chiral quark models

Abstract

We compute the off-forward diagonal non-singlet generalized parton distribution of the pion in two distinct chiral quark models: the Nambu-Jona-Lasinio model with the Pauli-Villars regulator and the Spectral Quark Model. The analysis is carried out in the impact-parameter space. Leading-order perturbative QCD evolution is carried out via the inverse Mellin transform in the index space. The model predictions agree very reasonably with the recent results from transverse-lattice calculations, reproducing qualitatively both the Bjorken-x and the impact-parameter dependence of the data.

13 pages, 3 figures, to appear in Phys. Lett. B

References in corpus (6)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Impact Parameter Space Interpretation for Generalized Parton Distributions
• Pion light-cone wave function and pion distribution amplitude in the Nambu-Jona-Lasinio model
• Spectral quark model and low-energy hadron phenomenology
• Transverse lattice calculation of the pion light-cone wavefunctions
• Impact parameter dependent quark distribution of the pion

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