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Title: Towards a model of pion generalized parton distributions from Dyson-Schwinger equations

We compute the pion quark Generalized Parton Distribution H{sup q} and Double Distributions F{sup q} and G{sup q} in a coupled Bethe-Salpeter and Dyson-Schwinger approach. We use simple algebraic expressions inspired by the numerical resolution of Dyson-Schwinger and Bethe-Salpeter equations. We explicitly check the support and polynomiality properties, and the behavior under charge conjugation or time invariance of our model. We derive analytic expressions for the pion Double Distributions and Generalized Parton Distribution at vanishing pion momentum transfer at a low scale. Our model compares very well to experimental pion form factor or parton distribution function data.
Authors:
 [1]
  1. CEA, Centre de Saclay, IRFU/Service de Physique Nucléaire, F-91191 Gif-sur-Yvette (France)
Publication Date:
OSTI Identifier:
22391367
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1654; Journal Issue: 1; Conference: DIFFRACTION 2014: International Workshop on Diffraction in High-Energy Physics, Primosten (Croatia), 10-16 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BETHE-SALPETER EQUATION; COMPARATIVE EVALUATIONS; DISTRIBUTION FUNCTIONS; FORM FACTORS; GLUONS; MOMENTUM TRANSFER; PIONS; QUARKS; RESOLUTION; SCHWINGER FUNCTIONAL EQUATIONS