Continuity of generalized parton distributions for the pion virtual Compton scattering

Chueng-Ryong Ji (North Carolina State U.); Ho-Meoyng Choi (Carnegie Mellon U.); L.S. Kisslinger (Carnegie Mellon U.)

Continuity of generalized parton distributions for the pion virtual Compton scattering

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arxiv hep-ph/0204321 v2 pith:LZ6DBJ6C submitted 2002-04-28 hep-ph

Ho-Meoyng Choi (Carnegie Mellon U.) , Chueng-Ryong Ji (North Carolina State U.) , L.S. Kisslinger (Carnegie Mellon U.) This is my paper · ORCID

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keywords gpdsscatteringwaveboundcomptoncontinuitydistributionsdvcs

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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.

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Gluon skewed generalized parton distributions of proton from a light-front Hamiltonian approach
hep-ph 2025-01 conditional novelty 5.0 of 10

Using light-front wave functions with one dynamical gluon, the authors obtain all leading-twist gluon GPDs of the proton at nonzero skewness and find diffraction-like patterns in longitudinal position space.

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