Analytization of elastic scattering amplitude

TL;DR

This paper proposes a method to analytically restore the real part of the elastic scattering amplitude at high energies using derivative analyticity relations, enhancing understanding of scattering processes.

Contribution

It introduces a novel analytization procedure to determine the real part of the elastic scattering amplitude from the imaginary part at asymptotic energies.

Findings

Restoration of the real part of the amplitude at high energies.

Dependence of the real part on transferred momentum $-t$.

Application of derivative analyticity relations for amplitude analysis.

Abstract

Scenario for restoration of the real part of the elastic scattering amplitude has been proposed for the unitarity saturation case. Dependence of the real part of the elastic scattering amplitude on the transferred momentum $-t$ at the asymptotical energies has been restored from the corresponding imaginary part on the basis of derivative analyticity relations (analytization procedure).