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| Format: | Artículo científico |
| Language: | en |
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Sociedade Brasileira de Física
2012
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| Online Access: | https://www.redalyc.org/articulo.oa?id=46424644018 |
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Table of Contents:
- Total Hadronic Cross-Section Data and the Froissart-Martin Bound Daniel Almeida Fagundes Marcio José Menon Paulo Victor Recchia Gomes Silva Física, Astronomía y Matemáticas High Total cross section energy hadron interactions Asymptotic problems and properties 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 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46424644018 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.5-6 Vol.42