Symbolic regression fits to lattice QCD and model GPDs show that the isovector GPD H_{u-d} approximately factorizes in x and t in the trained kinematic region, and a new Taylor-coefficient clustering criterion (ECC) groups the many fits into a few stable solution families.
Generalized Parton Distributions and Color Transparency
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abstract
We study the structure of generalized parton distributions in impact parameter space with the aim of determining the size and role of small transverse separations components in the quarks wave function. We analyze the relation between transverse momentum components and transverse separations. Wave functions with large transverse momentum components can simultaneously reproduce the behavior of the Dirac form factor at large momentum transfer, and of the deep inelastic structure functions at Bjorken x -> 1. The presence of large momentum components does not ensure, however, the dominance of small transverse distances at large x. We suggest that experiments measuring the attenuation of hadrons in the nuclear medium, or the onset of color transparency, can provide an alternative source of information on generalized parton distributions, by mapping out the behavior of the transverse components of the wave function.
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Generalized Parton Distributions from Symbolic Regression
Symbolic regression fits to lattice QCD and model GPDs show that the isovector GPD H_{u-d} approximately factorizes in x and t in the trained kinematic region, and a new Taylor-coefficient clustering criterion (ECC) groups the many fits into a few stable solution families.