Rational Form of Amplitude and Its Asymptotic Factorization

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. A central role belongs to the asymptotic amplitude factorization resulting from Mandelstam analyticity and its symmetry over the scattering variables.

Automated summary

This paper provides arguments for the use of the rational form of unitarization and its relation to the shrinkage of the diffraction peak and the asymptotics of the inelastic cross-section. The specific issues of the Regge model and the exponential form of unitarization with a factorized eikonal are also discussed, with emphasis on the central role played by the asymptotic amplitude factorization resulting from Mandelstam analyticity and its symmetry over the scattering variables.