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Type: Artigo de periódico
Title: Total Hadronic Cross-section Data And The Froissart-martin Bound
Author: Fagundes D.A.
Menon M.J.
Silva P.V.R.G.
Abstract: The energy dependence of the total hadronic cross section at high energies is investigated with focus on the recent experimental result by the Total Elastic and Diffractive Cross-section Measurement Collaboration at 7 TeV and the Froissart-Martin bound. On the basis of a class of analytical parametrization with the exponent γ in the leading logarithm contribution as a free parameter, different variants of fits to pp and pp total cross-section data above 5 GeV are developed. Two ensembles are considered, the first comprising data up to 1. 8 TeV and the second also including the data collected at 7 TeV. We show that in all fit variants applied to the first ensemble, the exponent is statistically consistent with γ = 2. Applied to the second ensemble, however, the same variants yield γ values above 2, a result already obtained in two other analysis, by Amaldi et al. and by the UA4/2 Collaboration. As recently discussed by Azimov, this faster-than-squared-logarithm rise does not necessarily violate unitarity. Our results suggest that the energy dependence of the hadronic total cross section at high energies still constitutes an open problem. © 2012 Sociedade Brasileira de Física.
Rights: fechado
Identifier DOI: 10.1007/s13538-012-0099-5
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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