Unraveling hadron structure with generalized parton distributions
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by
A.V. Belitsky, A.V. Radyushkin
2005
Abstract
The generalized parton distributions, introduced nearly a decade ago, have
emerged as a universal tool to describe hadrons in terms of quark and gluonic
degrees of freedom. They combine the features of form factors, parton densities
and distribution amplitudes--the functions used for a long time in studies of
hadronic structure. Generalized parton distributions are analogous to the
phase-space Wigner quasi-probability function of non-relativistic quantum
mechanics which encodes full information on a quantum-mechanical system. We
give an extensive review of main achievements in the development of this
formalism. We discuss physical interpretation and basic properties of
generalized parton distributions, their modeling and QCD evolution in the
leading and next-to-leading orders. We describe how these functions enter a
wide class of exclusive reactions, such as electro- and photo-production of
photons, lepton pairs, or mesons. The theory of these processes requires and
implies full control over diverse corrections and thus we outline the progress
in handling higher-order and higher-twist effects. We catalogue corresponding
results and present diverse techniques for their derivations. Subsequently, we
address observables that are sensitive to different characteristics of the
nucleon structure in terms of generalized parton distributions. The ultimate
goal of the GPD approach is to provide a three-dimensional spatial picture of
the nucleon, direct measurement of the quark orbital angular momentum, and
various inter- and multi-parton correlations.
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