Continuity of generalized parton distributions for the pion virtual Compton scattering

Abstract

We discuss a consistent treatment of the light-front gauge-boson and meson wave functions in the analyses of the generalized parton distributions(GPDs) and the scattering amplitudes in deeply virtual Compton scattering(DVCS) for the pion. The continuity of the GPDs at the crossover, where the longitudinal momentum fraction of the probed quark is same with the skewedness parameter, and the finiteness of the DVCS amplitude are ensured if the same light-front radial wave function as that of the meson bound state wave function is used for the gauge boson bound state arising from the pair-creation(or nonvalence) diagram. The frame-independence of our model calculation is also guaranteed by the constraint from the sum rule between the GPDs and the form factors.

14 pages, 9 figures, we (1) changed the title, (2) added references, (3) discussed the GPD value at the crossover in Sec. III, version to appear in Phys. Rev. D

References in corpus (10)

• Hard Exclusive Reactions and the Structure of Hadrons
• Measurement of the Beam-Spin Azimuthal Asymmetry Associated with Deeply-Virtual Compton Scattering
• Observation of exclusive DVCS in polarized electron beam asymmetry measurements
• DVCS on the nucleon : study of the twist-3 effects
• A detailed next-to-leading order QCD analysis of deeply virtual Compton scattering observables
• Skewed quark distribution of the pion in the light-front quark model
• Exploring skewed parton distributions with two body models on the light front II: covariant Bethe-Salpeter approach
• Light-front quark model analysis of rare $B\to K{\ell }^{+}{\ell }^{-}$ decays
• Pion Form Factor and Quark Mass Evolution in a Light-Front Bethe-Salpeter Model
• Pion Generalized Dipole Polarizabilities by Virtual Compton Scattering $\pi e\to \pi e\gamma$

Cited by in corpus (18)

• Generalized Parton Distributions
• Unraveling hadron structure with generalized parton distributions
• Generalized parton distributions of the pion in chiral quark models and their QCD evolution
• Semileptonic and radiative decays of the B_c meson in light-front quark model
• From Bethe-Salpeter Wave Functions to Generalised Parton Distributions
• Modelling the nucleon structure
• Deeply virtual Compton scattering on a virtual pion target
• Higher Fock State Contributions to the Generalized Parton Distribution of Pion
• Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model
• The First Moments of Nucleon Generalized Parton Distributions
• Towards a Pion Generalized Parton Distribution Model from Dyson-Schwinger Equations
• Support of generalized parton distributions in Bethe-Salpeter models of hadrons
• Generalized parton distributions of sea quarks in the proton from nonlocal chiral effective theory
• Generalized parton distributions of sea quark at zero skewness in the light-cone Model
• 2004 Review of Light Cone Field Theory
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• Analysis of virtual meson production in solvable (1+1) dimensional scalar field theory
• Generalized Parton Distributions of Pions. Spin Structure of Hadrons