Comparison of QCD Curves with Elastic pp Scattering Data

Using previously described functional techniques for some non--perturbative, gauge invariant, renormalized QCD processes, a simplified version of the amplitudes --- in which forms akin to Pomerons naturally appear --- provides fits to ISR and LHC--TOTEM $pp$ elastic scattering data. Those amplitudes rely on a specific function $φ(\vec b)$ which describes the fluctuations of the transverse position of quarks inside hadrons.

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