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

作者: J. Rodríguez-Quintero , L. Chang , F. Sabatié , H. Moutarde , C. Mezrag

DOI: 10.1088/1742-6596/631/1/012062

关键词:

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

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