학술논문
Method of calculating a scattering amplitude at high energies using unitarity and analyticity
Document Type
Journal Article
Author
Source
Sov. J. Particles Nucl. (Engl. Transl.); (United States); 15:1
Subject
Language
English
Abstract
A dynamical approach in the theory of strong interactions is developed directly on the basis of the general properties of analyticity and unitarity of the S matrix, which makes it possible to describe scattering through all angles in a unified manner. The method proposed for calculating the scattering amplitude uses its analytic properties in the impact-parameter representation. For the region of fixed tnot =0 and in the case of asymptotically increasing total cross sections, the scattering amplitude is expanded with respect to a small parameter tau((-t)/sup 1/2/). In the region of fixed scattering angles (s..-->..infinity, t/s fixed), the cross section decreases in accordance with a power law. This result is due to the analytic properties of the amplitude in the cosine of the scattering angle. The method provides a basis for analyzing the behavior of scattering cross sections and spin effects in the region of large angles, in particular the energy dependence of the spin-correlation parameters.