Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-05-07
Braz.J.Phys. 31 (2001) 567-576
Physics
High Energy Physics
High Energy Physics - Phenomenology
One formula added, one unit changed, small misprints corrected, final version to be published in Brazilian Journal of Physics;
Scientific paper
We present the results of several parametrizations to two different ensemble of data on $pp$ total cross sections $\sigma_{tot}^{pp}$ 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 ($\sqrt s = 14$ TeV) is $\sigma_{tot}^{pp} = 113 \pm 5$ mb and from the other, $\sigma_{tot}^{pp}=140 \pm 7$ mb. From each parametrization, and making use of derivative analyticity relations (DAR), we determine $\rho(s)$ (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.
Avila Regina F.
Luna E. G. S.
Menon Marcio J.
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