An Updated Analysis on the Rise of the Hadronic Total Cross-Section at the Lhc Energy Region
Abstract
A forward amplitude analysis on pp and \bar {p}p elastic scattering above 5 GeV is presented. The dataset includes the recent high-precision TOTEM measurements of the pp total and elastic (integrated) cross-sections at 7 TeV and 8 TeV. Following previous works, the leading high-energy contribution for the total cross-section (σtot) is parametrized as lnγ(s/sh), where γ and sh are free real fit parameters. Singly-subtracted derivative dispersion relations are used to connect σtot and the rho parameter (ρ) in an analytical way. Different fit procedures are considered, including individual fits to σtot data, global fits to σtot and ρ data, constrained and unconstrained data reductions. The results favor a rise of the σtot faster than the log-squared bound by Froissart and Martin at the LHC energy region. The parametrization for σtot is extended to fit the elastic cross-section (σel) data with satisfactory results. The analysis indicates an asymptotic ratio σel/σtot consistent with 1/3 (as already obtained in a previous work). A critical discussion on the correlation, practical role and physical implications of the parameters γ and sh is presented. The discussion confronts the 2002 prediction of σtot by the COMPETE Collaboration and the recent result by the Particle Data Group (2012 edition of the Review of Particle Physics). Some conjectures on possible implications of a fast rise of the proton-proton total cross-section at the highest energies are also presented.
- Publication:
-
International Journal of Modern Physics A
- Pub Date:
- August 2013
- DOI:
- 10.1142/S0217751X13500991
- arXiv:
- arXiv:1212.5096
- Bibcode:
- 2013IJMPA..2850099M
- Keywords:
-
- Hadron-induced high- and super-high-energy interactions;
- total cross-sections;
- asymptotic problems and properties;
- 13.85.-t;
- 13.85.Lg;
- 11.10.Jj;
- Hadron-induced high- and super-high-energy interactions;
- Total cross sections;
- Asymptotic problems and properties;
- High Energy Physics - Phenomenology;
- Astrophysics - High Energy Astrophysical Phenomena;
- High Energy Physics - Experiment
- E-Print:
- 32 pages, 9 figures, discussion on the 8 TeV TOTEM data extended (2 tables and 1 figure added), typos/grammar corrected, conclusions unchanged, matches journal version