Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-02-08
Int. J. of Mod. Phys. A25, no. 29, 5333 (2010)
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages, 7 figures and 11 tables. We corrected some formulas and results of the fitting procedure. This work present intermed
Scientific paper
10.1142/S0217751X10050755
Considering the Froissart-Martin bound, Jin-Martin-Cornille bound and the optical theorem, we propose a novel parametrization for the total cross-section of proton-proton and antiproton-proton elastic scattering data. Using derivative dispersion relations we obtain the real part of the elastic scattering amplitude and thus the $\rho$ parameter. Simultaneous fits to $\sigma_{tot}$ and $\rho$ are performed allowing very good statistical descriptions of the available data. Furthermore, predictions to $\sigma_{tot}$ and $\rho$ at energies not used in the fit procedures are presented. For $\sigma_{tot}$ we obtain predictions at RHIC, LHC and future HC energies.
Campos S. D.
Okorokov V. A.
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