| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Estadual Campinas UNICAMP, Inst Fis Gleb Wataghin, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS; v. 40, n. 6 JUN 2013. |
| Web of Science Citations: | 31 |
| Abstract | |
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) | |
| FAPESP's process: | 11/15016-4 - A Phenomenological Analysis on the Proton-Proton Elastic Scattering at the LHC Energy Region |
| Grantee: | Paulo Victor Recchia Gomes da Silva |
| Support Opportunities: | Scholarships in Brazil - Master |
| FAPESP's process: | 11/00505-0 - Diffractive hadron scattering at high energies: eikonal representation and nonperturbative quantum chromodynamics |
| Grantee: | Daniel Almeida Fagundes |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 09/50180-0 - Study of hadronic interactions at high energies |
| Grantee: | Yogiro Hama |
| Support Opportunities: | Research Projects - Thematic Grants |