High-Energy Proton-Proton Forward Scattering and Derivative Analyticity Relations

2001/05/31 by R. F. Avila, E. G. S. Luna, M. J. Menon
Physics and Astronomy · #hep-ph

paper · pdf

published as Braz.J.Phys. 31 (2001) 567-576 · One formula added, one unit changed, small misprints corrected, final version to be published in Brazilian Journal of Physics; 13 pages, 8 figures, aps-revtex

arxiv created 2001/10/02 · arxiv updated 2009/11/30

Abstract

We present the results of several parametrizations to two different ensemble of data on pp total cross sections σ_tot^pp at the highest center-of-mass energies (including cosmic-ray information). The results are statistically consistent with two distinct scenarios at high energies. From one ensemble the prediction for the LHC (√ s = 14 TeV) is σ_tot^pp = 113 ± 5 mb and from the other, σ_tot^pp=140 ± 7 mb. From each parametrization, and making use of derivative analyticity relations (DAR), we determine ρ(s) (ratio between the forward real and imaginary parts of the elastic scattering amplitude). A discussion on the optimization of the DAR in terms of a free parameter is also presented.In all cases good descriptions of the experimental data are obtained.

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• The High Energy Behavior of the Forward Scattering Parameters σtotal ρ, and B