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Generalized parton distributions from nucleon form factor data
Authors:M. Diehl  Th Feldmann  R. Jakob  P. Kroll
Affiliation:(1) Deutsches Elektronen-Synchroton DESY, 22603 Hamburg, Germany;(2) Dept. of Physics, Theory Division, CERN, 1211 Geneva, Switzerland;(3) Fachbereich Physik, Universität Wuppertal, 42097 Wuppertal, Germany
Abstract:We present a simple empirical parameterization of the x- and t-dependence of generalized parton distributions at zero skewness, using forward parton distributions as input. A fit to experimental data for the Dirac, Pauli and axial form factors of the nucleon allows us to discuss quantitatively the interplay between longitudinal and transverse partonic degrees of freedom in the nucleon (ldquonucleon tomographyrdquo). In particular we obtain the transverse distribution of valence quarks at given momentum fraction x. We calculate various moments of the distributions, including the form factors that appear in the handbag approximation to wide-angle Compton scattering. This allows us to estimate the minimal momentum transfer required for reliable predictions in that approach to be around $vert tvert simeq 3 {rm GeV}^2$. We also evaluate the valence contributions to the energy-momentum form factors entering Jirsquos sum rule.Received: 16 September 2004, Revised: 15 October 2004, Published online: 17 December 2004
Keywords:
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