ASYMPTOTICS OF THE S MATRIX AND UNITARIZATION

摘要

The manner in which the elastic scattering amplitude obeys unitarity, how it enters the circle of unitarity, and what its asymptotic limit is, remains a problem for models which include terms that rise fast with s. We have checked that the features of cross sections which come from unitarization are present for most unitarization schemes, e.g., those that saturate the profile function or those that describe multiple exchanges via an analytic formula. We have also obtained a scheme which interpolates between different classes of the unitarization and found corresponding nonlinear equations. Considering different forms of energy dependence of the scattering amplitude, and a variety of unitarization schemes, we show that, in order to reproduce the data, the fits choose an amplitude thatrncorresponds to an asymptotic value S = 0.