Predictions of pp, pbar p total cross section and rho ratio at LHC and cosmic-ray energies

Abstract

We propose to use rich informations on the pp, pbar p total cross sections sigma below N=10 GeV in order to predict the total cross section and rho ratio at very high energies. Using the FESR as a constraint for high energy parameters, we search for the simultaneous best fit to the data points of sigma and rho ratio up to some energy (e.g., ISR, Tevatron) to determine the high-energy parameters. We then predict sigma and rho in the LHC and high-energy cosmic-ray regions. Using the data up to sqrt s =1.8 TeV(Tevatron), we predict sigma(pp) and rho(pp) at the LHC energy(sqrt s = 14 TeV) as 106.3 +- 5.1(syst) +- 2.4(stat) mb and 0.126 +- 0.007(syst) +- 0.004(stat), respectively. The predicted values of sigma in terms of the same parameters are in good agreement with the cosmic-ray experimental data sample up to Plab = 10^(8--9) GeV by Block, Halzen, and Stanov.

11 pages, 2 eps figures, uses elsart.cls

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• Benchmarks for the Forward Observables at RHIC, the Tevatron-run II and the LHC
• Evidence for the saturation of the Froissart bound
• Investigations of the pi N total cross sections at high energies using new FESR: log nu or (log nu)^2
• Extrema bounds for the soft Pomeron intercept

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• On the Discrepancy of pp, pbar p Total Cross Sections at sqrt s = 1.8TeV
• Total Cross Section at Cosmic Ray Energies