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 $\varphi (t)$ 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 $\varphi (t)$ 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.

arXiv comment6 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

References in corpus (4)

• First measurement of elastic, inelastic and total cross-section at $\sqrt{s}=13$ TeV by TOTEM and overview of cross-section data at LHC energies
• First determination of the $\rho$ parameter at $\sqrt{s}=13$ TeV -- probing the existence of a colourless three-gluon bound state
• Model-independent femtoscopic Levy imaging for elastic proton-proton scattering
• Leading Pomeron Contributions and the TOTEM Data at 13 TeV

Cited by in corpus (8)

• Evidence of Odderon-exchange from scaling properties of elastic scattering at TeV energies
• The multilayer structure of protons
• Central elastic scattering
• Energy evolution of the overlap functions: increasing ratio of ${\sigma }_{el}(s)/{\sigma }_{tot}(s)$ and black ring emergence
• Direct-channel option of the forward slope increase
• Convergence properties of Lévy expansions: implications for Odderon and proton structure
• Transition from the shadow to reflective scattering
• Forward elastic scattering: Dynamical gluon mass and semihard interactions