2006/07/31 by László Jenkovszky, Laszlo Jenkovszky
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.74.114026
published as Phys.Rev.D74:114026,2006 · 20 pages, 5 figures
arxiv created 2006/07/31 · openalex publication_date 2006/12/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Basing upon dual analytic models, we present arguments in favor of the parametrization of generalized parton distributions (GPD) in the form \ensuremath∼(x/g0)^(1\ensuremath-x)\stackrel\texttildelow\ensuremathα(t), where \stackrel\texttildelow\ensuremathα(t)=\ensuremathα(t)\ensuremath-\ensuremathα(0) is the nonlinear part of the Regge trajectory and g0 is a parameter. For linear trajectories it reduces to earlier proposals. We compare the calculated moments of these GPD with the experimental data on form factors and find that the effects from the nonlinearity of Regge trajectories are large. By Fourier-transforming the obtained GPD, we access the spatial distribution of protons in the transverse plane. The relation between dual amplitudes with Mandelstam analyticity and composite models in the infinite-momentum frame is discussed, the integration variable in dual models being associated with the quark longitudinal momentum fraction x in the nucleon.