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We provide arguments for the use of the rational form of unitarization, itsrelation with the diffraction peak shrinkage and asymptotics of the inelasticcross--section.  The particular problems of the Regge model and the exponential form ofunitarization with a factorized eikonal are discussed as well. Central rolebelongs to the asymptotic amplitude factorization resulting from Mandelstamanalyticity and its symmetry over the scattering variables.

Rational form of amplitude and its asymptotic factorization