M. M. Block, L. Stodolsky
Published 2013-12-09, updated 2014-07-10Version 3
Recent data from the LHC makes it possible to examine an old speculation that at very high energy the total multiplicity and the cross section in elementary particle interactions vary in parallel with energy. Using fits incorporating the new data, it appears that the ratios of the total, elastic, and inelastic cross sections to the average multiplicity N can in fact approach constants at very high energy. The approach to the limit is however quite slow for the total and inelastic cross sections and is not yet reached at LHC energies. The elastic ratio sigma^{el}/N at 7 TeV, however, is not far from its asymptotic value.
Comments: Eight pages, three figures. Two references added, minor editorial changes. No change in content, Immediately above Eq 6, erroneous word `charged' changed to `total'
Journal: Phys. Lett B 734,207, (2014); Corrigendum Phys. Lett B 735,451, (2014)
QCD factorization for forward hadron scattering at high energies
SUSY at High Energy $eγ$ and $γγ$ Colliders
QCD Theory at High Energy
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