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- Title
Simple Lévy α -Stable Model Analysis of Elastic pp and p p ¯ Low-| t | Data from SPS to LHC Energies.
- Authors
Csörgő, Tamás; Hegyi, Sándor; Szanyi, István
- Abstract
A simple Lévy α -stable (SL) model is used to describe the data on elastic p p and p p ¯ scattering at low- | t | from SPS energies up to LHC energies. The SL model is demonstrated to describe the data with a strong non-exponential feature in a statistically acceptable manner. The energy dependence of the parameters of the model is determined and analyzed. The Lévy α parameter of the model has an energy-independent value of 1.959 ± 0.002 following from the strong non-exponential behavior of the data. We strengthen the conclusion that the discrepancy between TOTEM and ATLAS elastic p p differential cross section measurements arises only in the normalization and not in the shape of the distribution of the data as a function of t. We find that the slope parameter has different values for p p and p p ¯ elastic scattering at LHC energies. This may be the effect of the odderon exchange or the jump in the energy dependence of the slope parameter in the energy interval 3 GeV ≲ s ≲ 4 GeV.
- Subjects
ELASTIC analysis (Engineering); DIFFERENTIAL cross sections; ELASTIC scattering; DATA distribution; ELECTRON scattering
- Publication
Universe (2218-1997), 2024, Vol 10, Issue 3, p127
- ISSN
2218-1997
- Publication type
Article
- DOI
10.3390/universe10030127