Crossing and Radon Tomography for Generalized Parton Distributions
arXiv:hep-ph/0102303 · doi:10.1016/S0370-2693(01)00564-0
Abstract
The crossing properties of the matrix elements of non-local operators, parameterized by Generalized Parton Distribution, are considered. They are especially simple in terms of the Double Distributions which are common for the various kinematical regions. As a result, Double Distributions may be in principle extracted from the combined data in these regions by making use of the inverse Radon transform, known as a standard method in tomography. The ambiguities analogous to the ones for the vetor potential in the two-dimensional magneto-statics are outlined. The possible generalizations are discussed.
LaTeX, 10 pages
Cited by in corpus (82)
- Generalized Parton Distributions
- Unraveling hadron structure with generalized parton distributions
- Hard Exclusive Reactions and the Structure of Hadrons
- Theory of deeply virtual Compton scattering on the nucleon
- Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
- Generalized parton distributions from nucleon form factor data
- GPD phenomenology and DVCS fitting - Entering the high-precision era
- Deeply virtual Compton scattering at small x_B and the access to the GPD H
- Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
- Hadron structure from lattice quantum chromodynamics
- Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond
- Hadron tomography by generalized distribution amplitudes in pion-pair production process and gravitational form factors for pion
- Dispersion representations for hard exclusive processes
- The nucleon form-factors of the energy momentum tensor in the Skyrme model
- Complex conformal spin partial wave expansion of generalized parton distributions and distribution amplitudes
- Sketching the pion's valence-quark generalised parton distribution
- Dispersion relations and subtractions in hard exclusive processes
- Polynomiality of unpolarized off-forward distribution functions and the D-term in the chiral quark-soliton model
- Power-Law Wave Functions and Generalized Parton Distributions for Pion
- The generalized parton distribution function (E^u+E^d)(x,xi,t) of the nucleon in the chiral quark soliton model
- The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
- Implication of the overlap representation for modelling generalized parton distributions
- Sum rules and dualities for generalized parton distributions: is there a holographic principle?
- From Bethe-Salpeter Wave Functions to Generalised Parton Distributions
- A Nakanishi-based model illustrating the covariant extension of the pion GPD overlap representation and its ambiguities
- Energy momentum tensor and the D-term in the bag model
- D-term and structure of point-like and composed spin-0 particles
- Finite-t and target mass corrections to DVCS on a scalar target
- Generalized Parton Distributions and Their Singularities
- Tomography for amplitudes of hard exclusive processes
- Test of two new parameterizations of the Generalized Parton Distribution
- Generalized parton distributions and double distributions for q q-bar pions
- Towards a fitting procedure to deeply virtual meson production -- the next-to-leading order case --
- Covariant Extension of the GPD overlap representation at low Fock states
- Generalized Parton Distributions: visions, basics, and realities
- Dual parametrization of GPDs versus the double distribution Ansatz
- Search for isotensor exotic meson and twist 4 contribution to
- Deeply virtual Compton scattering on a virtual pion target
- On production of two mesons
- meson unpolarized generalized parton distributions with a light-front constituent quark model
- The dynamic origins of fermionic D-terms
- Deeply Virtual Compton Scattering on a Photon and Generalized Parton Distributions in the Photon
- Genuine twist 3 in exclusive electroproduction of transversely polarized vector mesons
- Dual parameterization of generalized parton distributions and description of DVCS data
- Double distributions: Loose ends
- Estimates for Pion-Photon Transition Distributions
- A spectral representation for baryon to meson transition distribution amplitudes
- Transition distribution amplitudes and hard exclusive reactions with baryon number transfer
- fixed pole and -term form factor in deeply virtual Compton scattering
- An introductory lecture on Generalised Parton Distributions
- Analyticity and sum rules for photon GPDs
- Dual parametrization of generalized parton distributions in two equivalent representations
- Next-to-leading-power kinematic corrections to DVCS: a scalar target
- An introduction to the Generalized Parton Distributions
- Double distributions for the proton
- The energy-momentum tensor and D-term of Q-clouds
- Exclusive annihilation p pbar -> gamma gamma in a generalized parton picture
- Dual parameterization and Abel transform tomography for twist-3 DVCS
- Modeling Nucleon Generalized Parton Distributions
- Complex conjugate poles and parton distributions
- Polynomiality of helicity off-forward distribution functions in the chiral quark-soliton model
- High--Energy Photon--Hadron Scattering in Holographic QCD
- Unpolarized generalized parton distributions of light and heavy vector mesons
- Pion pair production in annihilation
- Kinematical higher-twist corrections in : Neutral meson production
- Inverse Radon transform and the transverse-momentum dependent functions
- QCD Sum Rules and Models for Generalized Parton Distributions
- DSE inspired model for the pion's valence dressed-quark GPD
- Sum Rules for Nucleon GPDs and Border Function Formulation
- Generalized Parton Distributions -- theoretical review --
- Power corrections to the process in the running coupling method
- The Effects of the Tsallis Entropy in the Proton Internal Pressure
- Violation of Positivity Bounds in Models of Generalized Parton Distributions
- Time-like Gravitational Formfactors and Shear Viscosity
- Revealing pion and kaon structure via generalised parton distributions
- Inverse Radon transform at work
- Toward an advanced phenomenology of transition distribution amplitudes
- Generalized Distribution Amplitudes at the pole
- Baryon to meson transition distribution amplitudes and their spectral representation
- Tomography and gravitational radii for hadrons by three-dimensional structure functions
- Pion's valence-quark GPD and its extension beyond DGLAP region
- On the equivalence of GPD representations