Deeply virtual Compton scattering on a virtual pion target

Abstract

We study deeply virtual Compton scattering on a virtual pion that is emitted by a proton. Using a range of models for the generalized parton distributions of the pion, we evaluate the cross section, as well as the beam spin and beam charge asymmetries in the leading-twist approximation. Studying Compton scattering on the pion in suitable kinematics puts high demands on both beam energy and luminosity, and we find that the corresponding requirements will first be met after the energy upgrade at Jefferson Laboratory. As a by-product of our study, we construct a parameterization of pion generalized parton distributions that has a non-trivial interplay between the x and t dependence and is in good agreement with form factor data and lattice calculations.

23 pages, 9 figures

References in corpus (65)

• Generalized Parton Distributions
• Unraveling hadron structure with generalized parton distributions
• Hard Exclusive Reactions and the Structure of Hadrons
• Impact Parameter Space Interpretation for Generalized Parton Distributions
• Off-Forward Parton Distributions
• Theory of deeply virtual Compton scattering on the nucleon
• Single-spin asymmetries: the Trento conventions
• Skewed and double distributions in pion and nucleon
• Generalized parton distributions in impact parameter space
• Quark Imaging in the Proton Via Quantum Phase-Space Distributions
• Measurement of the Beam-Spin Azimuthal Asymmetry Associated with Deeply-Virtual Compton Scattering
• Measurement of the Charged Pion Electromagnetic Form Factor
• Nucleon Form Factors from Generalized Parton Distributions
• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• Observation of exclusive DVCS in polarized electron beam asymmetry measurements
• Double distributions and evolution equations
• Generalized parton distributions from nucleon form factor data
• Pionic Parton Distributions Revisited
• Femto-Photography of Protons to Nuclei with Deeply Virtual Compton Scattering
• Determination of the pion charge form factor for Q^2=0.60-1.60 GeV^2
• Generalized parton distributions with helicity flip
• Deeply Virtual Compton Scattering Beam-Spin Asymmetries
• Timelike Compton scattering: exclusive photoproduction of lepton pairs
• Scaling Tests of the Cross Section for Deeply Virtual Compton Scattering
• Evolution and models for skewed parton distributions
• Testing the handbag contribution to exclusive virtual Compton scattering
• On the pion-nucleon coupling constant
• The pion parton distribution function in the valence region
• Crossing and Radon Tomography for Generalized Parton Distributions
• Study of the Fundamental Structure of Matter with an Electron-Ion Collider
• On the gauge invariance of the DVCS amplitude
• Twist-three effects in two-photon processes
• Generalized parton distributions of the pion in chiral quark models and their QCD evolution
• Leading neutron production in $e^{+}p$ collisions at HERA
• The Beam--Charge Azimuthal Asymmetry and Deeply Virtual Compton Scattering
• The pion form factor from lattice QCD with two dynamical flavours
• Generalized Parton Distributions at x->1
• Generalized parton distributions of the pion in a Bethe-Salpeter approach
• Twist-three analysis of photon electroproduction with pion
• DVCS amplitude at tree level: Transversality, twist-3, and factorization
• Measurement of Azimuthal Asymmetries With Respect To Both Beam Charge and Transverse Target Polarization in Exclusive Electroproduction of Real Photons
• The spin structure of the pion
• Wandzura-Wilczek approximation for the twist-3 DVCS amplitude
• Hadron annihilation into two photons and backward dVCS in the scaling regime of QCD
• The Nucleon's Virtual Meson Cloud and Deep Inelastic Lepton Scattering
• Power-Law Wave Functions and Generalized Parton Distributions for Pion
• Generalized Parton Distributions for large $x$
• Leading proton production in e^+p collisions at HERA
• Impact-parameter dependence of the generalized parton distribution of the pion in chiral quark models
• Skewed quark distribution of the pion in the light-front quark model
• Leading neutron spectra
• Generalized parton distributions and double distributions for q q-bar pions
• Hard exclusive electroproduction of a pion in the backward region
• Leading neutron energy and pT distributions in deep inelastic scattering and photoproduction at HERA
• Exclusive meson pair production in gamma* gamma scattering at small momentum transfer
• Information from leading neutrons at HERA
• Continuity of generalized parton distributions for the pion virtual Compton scattering
• Generalized parton distributions for $q\bar{q}$ pions
• A Model for the Off-forward Structure Functions of the Pion
• Probing Quark Distribution Amplitudes Through Generalized Parton Distributions at Large Momentum Transfer
• Impact parameter dependent quark distribution of the pion
• Off-diagonal quark distribution functions of the pion within an effective single instanton approximation
• Parton Skewed Distributions in the Pion and Quark-Hadron Duality
• The skewed quark distribution of the pion at large momentum transfer
• Transition Distribution Amplitudes

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• Spin-orbit correlation and spatial distributions for spin-0 hadrons
• Chiral-odd pion generalized parton distributions beyond leading twist
• Generalized Parton Distributions of Pions. Spin Structure of Hadrons
• Non-diagonal DVCS and transition GPDs: A unified framework for spinless hadron case ${\gamma }^{\ast }\pi \to \gamma \pi \pi$
• Modeling the pion Generalized Parton Distribution
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• On the physical Relevance of the Study of gamma* gamma -> pi0 pi0 at small t and large Q2