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DSE inspired model for the pion's valence dressed-quark GPD

2015/03/30 by Lei Chang, L. Chang, Cédric Mezrag +7 · 6 citations
Physics and Astronomy · #Gluon #Hadron #High-Energy Particle Collisions Research #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Quarkonium #Valence (chemistry) #hep-ph

paper · pdf · doi:10.1088/1742-6596/631/1/012062

published in Journal of Physics Conference Series 631, 012062 (IOP Publishing) · 4th Symposium on Prospects in the Physics of Discrete Symmetries (DISCRETE 2014); CNUM: C14-12-02.1

arxiv created 2015/03/30 · openalex publication_date 2015/07/30 · arxiv updated 2015/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We sketch here an approach to the computation of genaralised parton distributions (GPDs), based upon a rainbow-ladder (RL) truncation of QCD's Dyson-Schwinger equations and exemplified via the pion's valence dressed-quark GPD, H v π ( x , ξ , t ). Our analysis focuses on the case of zero skewness, ξ = 0, and underlines that the impulse-approximation used hitherto to define the pion's valence dressed-quark GPD is generally invalid owing to omission of contributions from the gluons which bind dressed-quarks into the pion. A simple correction enables us to identify a practicable improvement to the approximation for H v π ( x ,0, t ), expressed as the Radon transform of a single amplitude. Therewith we obtain results for H v π ( x ,0, t ) and the associated impact-parameter dependent distribution, , which provide a qualitatively sound picture of the pion's dressed-quark structure at an hadronic scale.

Citations