On the rise of proton-proton cross-sections at high energies

Autor(es)

Fagundes, D. A. ^[1] ; Menon, M. J. ^[1] ; Silva, P. V. R. G. ^[1]

Afiliação do(s) autor(es)

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

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS; v. 40, n. 6 JUN 2013.
• Citações Web of Science: 31

Resumo

The rise of total, elastic and inelastic hadronic cross sections at high energies is investigated by means of an analytical parametrization, with the exponent of the leading logarithm contribution as a free fit parameter. Using derivative dispersion relations with one subtraction, two different fits to proton-proton and antiproton-proton total cross section and. parameter data are developed, reproducing well the experimental information in the energy region 5 GeV-7 TeV. The parametrization for the total cross sections is then extended to fit the elastic (integrated) cross section data in the same energy region, with satisfactory results. From these empirical results we extract the energy dependence of several physical quantities: inelastic cross section, ratios elastic/total, inelastic/total cross sections, ratio total-cross-section/elastic-slope, elastic slope and optical point. All data, fitted and predicted, are quite well described. We find a statistically consistent solution indicating: (1) an increase of the hadronic cross sections with the energy faster than the log-squared bound by Froissart and Martin; (2) asymptotic limits 1/3 and 2/3 for the ratios elastic/total and inelastic/total cross sections, respectively; a result in agreement with unitarity. These indications corroborate recent theoretical arguments by Azimov on the rise of the total cross section. (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