Rational form of amplitude and its asymptotic factorization

TL;DR

This paper discusses the rational form of unitarization in scattering amplitudes, its connection to diffraction peak shrinkage, and the asymptotic factorization derived from Mandelstam analyticity, with implications for Regge models.

Contribution

It introduces the rational form of unitarization and explores its relation to diffraction phenomena and asymptotic amplitude factorization based on Mandelstam analyticity.

Findings

Rational form of unitarization relates to diffraction peak shrinkage.

Asymptotic amplitude factorization follows from Mandelstam analyticity.

Discussion of exponential unitarization with factorized eikonal.

Abstract

We provide arguments for the use of the rational form of unitarization, its relation with the diffraction peak shrinkage and asymptotics of the inelastic cross--section. The particular problems of the Regge model and the exponential form of unitarization with a factorized eikonal are discussed as well. Central role belongs to the asymptotic amplitude factorization resulting from Mandelstam analyticity and its symmetry over the scattering variables.