Torus or black disk?

Abstract

We show that the interaction region of colliding protons looks completely absorptive (black) at the impact parameters up to 0.4 - 0.5 fm at the LHC energy 7 TeV. It is governed by the ratio of the elastic diffraction peak slope to the total cross section. The corresponding parameter is approximately equal to 1 at the LHC. The behavior of this ratio at higher energies will show if this region will evolve to the black disk or to the black torus. Recent fits at 7 TeV can not distinguish between these possibilities within the limits of experimental indefiniteness and of extrapolations in the regions of unmeasured transferred momenta.

8 pages, 2 Figs, Bulletin of the Lebedev Physics Institute. arXiv admin note: substantial text overlap with arXiv:1401.3106

References in corpus (4)

• First measurement of the total proton-proton cross section at the LHC energy of {\surd} s =7 TeV
• Proton-proton elastic scattering at the LHC energy of {\surd} = 7 TeV
• Transverse nucleon structure and diagnostics of hard parton-parton processes at LHC
• Proton periphery activated by multiparticle dynamics

Cited by in corpus (9)

• Black disk, maximal Odderon and unitarity
• Hollowness in $pp$ and $p\bar{p}$ scattering in a Regge model
• Proton-proton hollowness at the LHC from inverse scattering
• Exploring central opacity and asymptotic scenarios in elastic hadron scattering
• Unexpected properties of interactions of high energy protons
• Critical behavior of cross sections at LHC
• Hadron diffractive scattering at ultrahigh energies and coulomb interaction
• Restrictions on pp scattering amplitude imposed by first diffraction minimum data obtained by TOTEM at LHC
• Asymptotic regimes for hadron diffractive scatterings and coulomb interaction. Arguments for the black disk mode