Total Hadronic Cross-Section Data and the Froissart-Martin Bound

Autor(es)

Fagundes, Daniel Almeida ^[1] ; Menon, Marcio Jose ^[1] ; Recchia Gomes Silva, Paulo Victor ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas UNICAMP, Inst Fis Gleb Wataghin, BR-13083859 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Brazilian Journal of Physics; v. 42, n. 5-6, p. 452-464, DEC 2012.
• Citações Web of Science: 7

Resumo

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 gamma in the leading logarithm contribution as a free parameter, different variants of fits to pp and p 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 gamma = 2. Applied to the second ensemble, however, the same variants yield gamma 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. (AU)

• Processo FAPESP: 11/15016-4 - Uma análise fenomenológica do espalhamento elástico próton-próton na região de energia do LHC
• Beneficiário: Paulo Victor Recchia Gomes da Silva
• Linha de fomento: Bolsas no Brasil - Mestrado
• Processo FAPESP: 09/50180-0 - Estudo de interações hadrônicas a altas energias
• Beneficiário: Yogiro Hama
• Linha de fomento: Auxílio à Pesquisa - Temático
• Processo FAPESP: 11/00505-0 - Espalhamento difrativo de hádrons em altas energias: representação eiconal e cromodinâmica quântica não perturbativa
• Beneficiário: Daniel Almeida Fagundes
• Linha de fomento: Bolsas no Brasil - Doutorado