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Harmonic analysis on the Lorentz group and the hadron--hadron elastic-scattering amplitude

Journal Article · · Sov. J. Particles Nucl. (Engl. Transl.); (United States)
OSTI ID:6583575
;
The amplitude of elastic proton--proton scattering at high energies is constructed on the basis of simple quantum-mechanical assumptions and a relativistic relative-coordinate space. Descriptions of (dsigma/dt)(s,t), sigma/sub t/(s), and rho(s) are obtained. The amplitude depends on the energy through a function R(s), which in accordance with the optical theorem determines the total cross section by the formula sigma/sub t/(s) = 2..pi..R/sup 2/(s) and can be interpreted as the effective range of the hadron--hadron interaction. The dependence of the hadron--hadron total cross sections on the quantum numbers of the colliding particles is investigated. Descriptions are obtained for the total p-barp, pp, ..pi../sup - +/p, and K/sup - +/p interactions and their asymptotic behavior as s..-->..infinity.
Research Organization:
Joint Institute for Nuclear Research, Dubna
OSTI ID:
6583575
Journal Information:
Sov. J. Particles Nucl. (Engl. Transl.); (United States), Journal Name: Sov. J. Particles Nucl. (Engl. Transl.); (United States) Vol. 15:1; ISSN SJPNA
Country of Publication:
United States
Language:
English

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Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645500 -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BARYON-BARYON INTERACTIONS
CROSS SECTIONS
ELASTIC SCATTERING
ENERGY DEPENDENCE
ENERGY RANGE
HADRON-HADRON INTERACTIONS
INTERACTIONS
MECHANICS
NUCLEON-NUCLEON INTERACTIONS
OPTICAL THEOREM
PARTICLE INTERACTIONS
PROTON-NUCLEON INTERACTIONS
PROTON-PROTON INTERACTIONS
QUANTUM MECHANICS
SCATTERING
SCATTERING AMPLITUDES
TEV RANGE
TOTAL CROSS SECTIONS