Transverse Structure of Nucleon Parton Distributions from Lattice QCD
LHPC, SESAM Collaborations: Ph. Hagler, J. W. Negele, D. B. Renner,, W. Schroers, Th. Lippert, K. Schilling

TL;DR
This paper reports the first lattice QCD calculations of moments of generalized parton distributions, revealing how the transverse size of the proton's quark distribution varies with the parton's momentum fraction.
Contribution
It introduces the first lattice QCD computation of three moments of GPDs, providing new insights into the transverse structure of the nucleon.
Findings
Slope of generalized form factors decreases with higher moments
Transverse size of quark distribution shrinks as momentum fraction increases
First lattice QCD results for these GPD moments
Abstract
This work presents the first calculation in lattice QCD of three moments of spin-averaged and spin-polarized generalized parton distributions in the proton. It is shown that the slope of the associated generalized form factors decreases significantly as the moment increases, indicating that the transverse size of the light-cone quark distribution decreases as the momentum fraction of the struck parton increases.
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