Lévy imaging of elastic hadron-hadron scattering: Odderon and inner structure of the proton

Abstract

A novel model-independent Lévy imaging method is employed for reconstruction of the elastic $pp$ and $p\bar{p}$ scattering amplitudes at low and high energies. The four-momentum transfer $t$ dependent elastic slope $B(t)$, the nuclear phase $\ddot{I}•(t)$ as well as the excitation function of the shadow profile $P(b)$ have been extracted from data at ISR, Tevatron and LHC energies. We found qualitative differences in properties of $B(t)$ and $\ddot{I}•(t)$ between $pp$ and for $p\bar{p}$ collisions, that indicate an Odderon effect. A proton substructure has also been identified and found to have two different sizes, comparable to that of a dressed quark at the ISR and of a dressed diquark at the LHC energies, respectively.

6 pages, 4 figures, write-up of the talk of T. Csorgo at the Diffraction and Low-x 2018 Conference, Reggio Calabria, August 26- Sept 1, 2018, to appear in Acta Physica Polonica B