arXiv · 2607.16907
Geometric Scaling and the Odderon
Abstract
Based on geometric scaling of elastic $pp$ and possibly $p\bar{p}$ cross-sections, we derive simple formulae for the complex crossing-even and crossing-odd scattering amplitudes in terms of two interaction radii: $R(s)$ and $Q(s)$, respectively. Employing the COMPETE parametrization of the total cross-sections, we reproduce $\rho^{pp}$ and $\rho^{p\bar{p}}$ parameters with high accuracy, however we miss the 13~TeV TOTEM and ATLAS points. We show that a slight modification of the $p\bar{p}$ total cross-section corresponding to the Odderon, allows to accommodate $\rho^{pp}$ 13~TeV data.
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Michal Praszalowicz. 2026-07-18. Geometric Scaling and the Odderon. https://arxiv.org/abs/2607.16907
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