Proton Profile Function at 52.8 GeV

We present the results of a novel model-independent fit to elastic proton-proton differential cross section data at $\sqrt s$ = 52.8 GeV. Taking into account the error propagation from the fit parameters, we determine the scattering amplitude in the impact parameter space (the proton profile function) and its statistical uncertainty region. We show that both the real and imaginary parts of the profile are consistent with two dynamical contributions, one from a central dense region, up to roughly 1 fm and another from a peripheral evanescent region from 1 to 3 fm.