Proton-proton hollowness at the LHC from inverse scattering

Abstract

Parameterizations of the pp scattering data at the LHC collision energies indicate a hollow in the inelasticity profile of the pp interaction, with less absorption for head-on collisions than at a non-zero impact parameter. We show that some qualitatively unnoticed features may be unveiled by a judicious application of the inverse scattering problem in the eikonal approximation and interpre- tation within an optical potential model. The hollowness effect is magnifed in a 3D picture of the optical potential, and will presumably be enhanced at yet higher energies. Moreover, in 3D it sets in at much smaller energies than at the LHC. We argue that hollowness in the impact parameter is a quantum effect, relying on the build-up of the real part of the eikonal scattering phase and its possible passage through $\pi /2$. We also show that it precludes models of inelastic collisions where inelasticity is obtained by naive folding of partonic densities.

9 pages, 6 figures,expanded version with further discussions

References in corpus (10)

• Measurement of Elastic pp Scattering at $\sqrt{s}$ = 8 TeV in the Coulomb-Nuclear Interference Region - Determination of the $\rho$-Parameter and the Total Cross-Section
• Hot spots and the hollowness of proton-proton interactions at high energies
• Impact analysis of TOTEM data at the LHC: black disk limit exceeded
• Hadron collisions at ultrahigh energies: black disk or resonant disk modes?
• Multiple Parton Interactions in Hadron Collisions and Diffraction
• Evidence for a Constant `Edge' in Proton-Proton Scattering at Very High Energies
• Torus or black disk?
• Interpretation of an "edge" in proton-proton scattering
• Proton-Proton On Shell Optical Potential at High Energies and the Hollownes Effect
• Low Energy Nuclear Structure from Ultra-relativistic Heavy-Light Ion collisions

Cited by in corpus (18)

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• Unexpected properties of interactions of high energy protons
• Observation of Odderon Effects at LHC energies -- A Real Extended Bialas-Bzdak Model Study
• Recent Results from the CERN LHC Experiment TOTEM -- Implications for Odderon Exchange
• Reflective scattering at the LHC and two--scale structure of a proton
• Is There a Hollow Inside the Proton?
• Coarse graining of NN inelastic interactions up to 3 GeV:Repulsive vs Structural core
• Inelastic cross-section and Survival Probabilities at LHC in mini-jet models
• The Tsallis entropy and the BKT-like phase transition in the impact parameter space for $pp$ and $\bar{p}p$ collisions
• Eikonal model analysis of elastic proton-proton collisions at 52.8 GeV and 8 TeV
• Resonant mode of elastic scattering of protons at ultra-high energies
• An approach to the leading Regge pole
• Hollowness effect and entropy in high energy elastic scattering
• Proton Internal Pressure in $pp$ and $\bar{p}p$ Elastic Scattering
• The Effects of the Tsallis Entropy in the Proton Internal Pressure