Proton-proton, pion-proton and pion-pion diffractive collisions at ultra-high energies

Abstract

The LHC energies are those at which the asymptotic regime in hadron-hadron diffractive collisions ($pp,\pi p,\pi \pi$) might be switched on. Based on results of the Dakhno-Nikonov eikonal model which is a generalization of the Good-Walker eikonal approach for a continuous set of channels, we present a picture for transformation of the constituent quark mode to the black disk one. In the black disk mode ($\sqrt{s}\ge 10$ TeV) we have a growth of the logarithm squared type for total and elastic cross sections, ${\sigma }_{tot}\sim {\ln }^{2}s$ and ${\sigma }_{el}\sim {\ln }^{2}s$, and $(\tau ={\mathbf{q}}_{\perp }^2{\sigma }_{tot})$-scaling for diffractive scattering and diffractive dissociation of hadrons. The diffractive dissociation cross section grows as ${\sigma }_D\sim \ln s$, ${\sigma }_{DD}\sim \ln s$, and their relative contribution tends to zero: ${\sigma }_D/{\sigma }_{tot}\to 0$, ${\sigma }_{DD}/{\sigma }_{tot}\to 0$. Asymptotic characteristics of diffractive and total cross sections are universal, and this results in the asymptotical equality of cross sections for all types of hadrons (the Gribov's universality). The energy scale for switching on the asymptotic mode is estimated for different processes.

arXiv comment14 pages. arXiv admin note: text overlap with arXiv:1310.2839

References in corpus (19)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Measurement of the proton-air cross-section at $\sqrt{s}=57$ TeV with the Pierre Auger Observatory
• The Status of Glueballs
• Measurement of the inelastic proton-proton cross section at sqrt(s) = 7 TeV
• High-energy strong interactions: from `hard' to `soft'
• Diffraction at the LHC
• Total and diffractive cross sections in enhanced Pomeron scheme
• Soft processes at the LHC, I: Multi-component model
• Quark structure of the pion and pion form factor
• Systematics of quark-antiquark states and scalar exotic mesons
• New experimental evidence that the proton develops asymptotically into a black disk
• The diffraction cone shrinkage speed up with the collision energy
• Total Cross Section Measurements with pi-, Sigma- and Protons on Nuclei and Nucleons around 600 GeV/c
• Proton opacity in the light of LHC diffractive data
• How Robust is the Froissart Bound?
• Asymptotic regime for hadron-hadron diffractive collisions at ultrahigh energies
• Proton (antiproton) elastic scattering at energies from FNAL to LHC in the tripole pomeron-odderon model
• The black disk to be observed in the Orear region
• Scaling laws for the elastic scattering amplitude

Cited by in corpus (3)

• Hadron collisions at ultrahigh energies: black disk or resonant disk modes?
• Directed flow in asymmetric nucleus-nucleus collisions and the inverse Landau-Pomeranchuk-Migdal effect
• Asymptotic regimes for hadron diffractive scatterings and coulomb interaction. Arguments for the black disk mode