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
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS STRONG INTERACTIONS
SCATTERING AMPLITUDES
ANALYTIC FUNCTIONS
CROSS SECTIONS
ELASTIC SCATTERING
GEV RANGE 100-1000
HADRONS
IMPACT PARAMETER
PROTON-PROTON INTERACTIONS
S MATRIX
SPIN
UNITARITY
AMPLITUDES
ANGULAR MOMENTUM
BARYON-BARYON INTERACTIONS
BASIC INTERACTIONS
ELEMENTARY PARTICLES
ENERGY RANGE
FUNCTIONS
GEV RANGE
HADRON-HADRON INTERACTIONS
INTERACTIONS
MATRICES
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PROTON-NUCLEON INTERACTIONS
SCATTERING 645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645500 -- High Energy Physics-- Scattering Theory-- (-1987)
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.