The ratio $\rho^{pp}_{\bar pp}(s)$ in Froissaron and Maximal Odderon approach

TL;DR

This paper analyzes the behavior of the ratio of real to imaginary parts of forward elastic $pp$ and $ar pp$ scattering amplitudes at high energies within the Froissaron and Maximal Odderon framework, showing they do not vanish asymptotically and have opposite signs.

Contribution

It demonstrates that in the Froissaron and Maximal Odderon model, the ratios remain finite and oppositely signed at high energies, contrasting with previous expectations.

Findings

Ratios do not vanish asymptotically.

Ratios have opposite signs for $pp$ and $ar pp$ scattering.

Supports the Froissaron and Maximal Odderon approach.

Abstract

The ratios $\rho^{pp}_{\bar pp}(s)$ of the real to the imaginary part of forward elastic $pp$ and $\bar pp$ scattering amplitudes at very high energies are considered in the models with rising total cross-sections and its difference. It is shown from the dispersion relations for $pp$ and $\bar pp$ scattering amplitudes that in the Froissaron and Maximal Odderon approach the ratios do not vanish asymptotically and they have the opposite signs for $pp$ and $\bar pp$ scattering.