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Type: Artigo de periódico
Title: An Updated Analysis On The Rise Of The Hadronic Total Cross-section At The Lhc Energy Region
Author: Menon M.J.
Silva P.V.R.G.
Abstract: A forward amplitude analysis on pp and $\bar{p}p$ elastic scattering above 5 GeV is presented. The dataset includes the recent high-precision TOTEM measurements of the pp total and elastic (integrated) cross-sections at 7 TeV and 8 TeV. Following previous works, the leading high-energy contribution for the total cross-section (σtot) is parametrized as lnγ(s/sh), where γ and s h are free real fit parameters. Singly-subtracted derivative dispersion relations are used to connect σtot and the rho parameter (ρ) in an analytical way. Different fit procedures are considered, including individual fits to σtot data, global fits to σtot and ρ data, constrained and unconstrained data reductions. The results favor a rise of the σtot faster than the log-squared bound by Froissart and Martin at the LHC energy region. The parametrization for σtot is extended to fit the elastic cross-section (σel) data with satisfactory results. The analysis indicates an asymptotic ratio σel/σ tot consistent with 1/3 (as already obtained in a previous work). A critical discussion on the correlation, practical role and physical implications of the parameters γ and sh is presented. The discussion confronts the 2002 prediction of σtot by the COMPETE Collaboration and the recent result by the Particle Data Group (2012 edition of the Review of Particle Physics). Some conjectures on possible implications of a fast rise of the proton-proton total cross-section at the highest energies are also presented. © 2013 World Scientific Publishing Company.
Rights: fechado
Identifier DOI: 10.1142/S0217751X13500991
Date Issue: 2013
Appears in Collections:Unicamp - Artigos e Outros Documentos

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