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Phenomenological Analysis of $pp$ and $\bar{p}p$ Elastic Scattering Based on Theoretical Bounds in High-Energy Physics
- Source :
- Int. J. of Mod. Phys. A25, no. 29, 5333 (2010)
- Publication Year :
- 2010
-
Abstract
- 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.<br />Comment: 22 pages, 7 figures and 11 tables. We corrected some formulas and results of the fitting procedure. This work present intermediate steps and results that are not shown in the published version
Details
- Database :
- arXiv
- Journal :
- Int. J. of Mod. Phys. A25, no. 29, 5333 (2010)
- Publication Type :
- Report
- Accession number :
- edsarx.1002.1597
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1142/S0217751X10050755