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 $\phi (\vec{b})$ which describes the fluctuations of the transverse position of quarks inside hadrons.