Theory of multiple scattering of pions by nuclei

Journal Article · Thu Mar 01 04:00:00 EST 1979 · Sov. J. Particles Nucl. (Engl. Transl.); (United States)

OSTI ID:5938109

Kopaleishvili, T I

The general theory of multiple scattering of pions by nuclei is expounded on the basis of relativistic potential theory. Different formulations of this theory are considered. The connection between the t matrix for scattering of a pion by a nucleon in their center-of-mass frame and the same matrix in an arbitrary frame is considered in the framework of the general theory. On the basis of the Lippman-Schwinger equation for the T matrix for the scattering of a pion by a nucleus, a general expression is obtained (in the form of a series) for the amplitude of ..pi..A scattering in the fixed-scatterer approximation (FSA), and different solvable models are considered in this approximation. The currently available approximate methods of solution of the problem of ..pi..A scattering are discussed in detail. Allowance for various effects that enable one to go beyond the fixed-scatterer approximation is considered on the basis of the first-order optical potential. Consideration is also given to the results of the first attempts to construct the second-order optical potential and to take into account real absorption of pions by nuclei in ..pi..A scattering. The problem of pion--deuteron scattering is considered separately on the basis of the relativistic three-particle equations. The main attention is devoted to pion-nucleus scattering in the region of the (3,3) resonance.

• Research Organization: State University, Tbilisi
• OSTI ID: 5938109
• Journal Information: Sov. J. Particles Nucl. (Engl. Transl.); (United States), Journal Name: Sov. J. Particles Nucl. (Engl. Transl.); (United States) Vol. 10:2; ISSN SJPNA
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
BARYON RESONANCES
BARYONS
CHARGED-PARTICLE REACTIONS
DELTA-1236 RESONANCES
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
FERMIONS
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
HADRONS
IMPULSE APPROXIMATION
INTEGRAL EQUATIONS
INTERACTIONS
LIPPMANN-SCHWINGER EQUATION
MATRICES
MESON REACTIONS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MEV RANGE
MEV RANGE 100-1000
MULTIPLE SCATTERING
N RESONANCES
NUCLEAR REACTIONS
OPTICAL MODELS
PARTICLE INTERACTIONS
PION REACTIONS
PION-DEUTERON INTERACTIONS
PION-NUCLEON INTERACTIONS
RESONANCE PARTICLES
S MATRIX
SCATTERING
SCATTERING AMPLITUDES