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On the rise of the proton-proton cross-sections at high energies | | D. A. Fagundes
; M. J. Menon
; P. V. R. G. Silva
; | | Date: |
16 Aug 2012 | | Abstract: | The rise of the 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. Making
use of derivative dispersion relations with one subtraction, two different fits
to proton-proton and antiproton-proton total cross section and rho parameter
data are developed, leading to a good reproduction of 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 quite good results. From these
empirical results we extract the dependence on the energy 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,
including in the latter case the estimations of the total cross sections from
cosmic-ray experiments. We conclude that, once the TOTEM Collaboration results
for the total and elastic cross sections at 7 TeV are confirmed, our analysis
indicates: (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 Ya. I. Azimov on the rise of the
total cross section. | | Source: | arXiv, 1208.3456 | | Services: | Forum | Review | PDF | Favorites | |
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