High-energy proton-proton forward scattering and derivative analyticity relations
| Autor: | E. G. S. Luna, Márcio José Menon, R. F. Ávila |
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| Rok vydání: | 2001 |
| Předmět: | |
| Zdroj: | Brazilian Journal of Physics, Volume: 31, Issue: 4, Pages: 567-576, Published: DEC 2001 Brazilian Journal of Physics v.31 n.4 2001 Brazilian Journal of Physics Sociedade Brasileira de Física (SBF) instacron:SBF |
| ISSN: | 0103-9733 |
| DOI: | 10.1590/s0103-97332001000400007 |
| Popis: | 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. 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-revtex |
| Databáze: | OpenAIRE |
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