7,178 research outputs found
High-Energy Proton-Proton Forward Scattering and Derivative Analyticity Relations
We present the results of several parametrizations to two different ensemble
of data on total cross sections at the highest
center-of-mass energies (including cosmic-ray information). The results are
statistically consistent with two distinct scenarios at high energies. From one
ensemble the prediction for the LHC ( TeV) is mb and from the other, mb. From each
parametrization, and making use of derivative analyticity relations (DAR), we
determine (ratio between the forward real and imaginary parts of the
elastic scattering amplitude). A discussion on the optimization of the DAR in
terms of a free parameter is also presented.In all cases good descriptions of
the experimental data are obtained.Comment: One formula added, one unit changed, small misprints corrected, final
version to be published in Brazilian Journal of Physics; 13 pages, 8 figures,
aps-revte
Preliminary Results on the Empirical Applicability of the Tsallis Distribution in Elastic Hadron Scattering
We show that the proton-proton elastic differential cross section data at dip
position and beyond can be quite well described by a parametrization based on
the Tsallis distribution, with only five free fit parameters. Extrapolation of
the results obtained at 7 TeV to large momentum transfer, suggests that hadrons
may not behave as a black-disk at the asymptotic energy region.Comment: 3 pages, 1 figure, version matching proceedings style, XII Hadron
Physics, 2012, AIP Proc. Con
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