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Physical Review D
Article
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Physical Review D
Article . 2014 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2014
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Hadron collisions at ultrahigh energies: Black disk or resonant disk modes?

Authors: Anisovich, V. V.; Nikonov, V. A.; Nyiri, Júlia;

Hadron collisions at ultrahigh energies: Black disk or resonant disk modes?

Abstract

The analysis of current ultrahigh energy data for hadronic total cross sections and diffractive scattering cross sections points to a steady growth of the optical density with energy for elastic scattering amplitudes in the impact parameter space, $b$. At LHC energy the profile function of the $pp$-scattering amplitude, $T(b)$, reaches the black disk limit at small $b$. Two scenarios are possible at larger energies, $\sqrt{s}\ga 100$ TeV. First, the profile function gets frozen in the black disk limit, $T(b)\simeq 1$ while the radius of the black disk $R_{black\;disk}$ is increasing with $\sqrt s$, providing $σ_{tot}\sim \ln^2s$, $σ_{el}\sim \ln^2s$, $σ_{inel}\sim \ln^2s$. In another scenario the profile function continues to grow at $\sqrt{s}\ga 100$ TeV approaching the maximal value, $T(b)\simeq 2$, that means the resonant disk mode. We discuss features of the resonant disk mode when the disk radius, $R_{resonant\;disk}\,$, increases providing the growth of the total and elastic cross sections $σ_{tot}\sim \ln^2s$, $σ_{el}\sim \ln^2s$, but a more slow increase of inelastic cross section, $σ_{inel}\sim \ln s$.

9 pages

Country
Hungary
Keywords

High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), QC Physics / fizika, FOS: Physical sciences

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
33
Top 10%
Top 10%
Top 10%
Green
bronze