Covariant multiple scattering series for elastic projectile-target scattering

A covariant formulation of the multiple scattering series for the optical potential is presented. We consider the case of a scalar nucleon'' interacting with a spin zero isospin zero {ital A}-body target through meson exchange. We show that a covariant equation for the projectile-target {i...

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Bibliographic Details
Published in:Physical review. C, Nuclear physics Nuclear physics, 1990-10, Vol.42 (4), p.1681-1693
Main Authors: MAUNG, K. M, GROSS, F
Format: Article
Language:English
Subjects:
653001 - Nuclear Theory- Nuclear Structure, Moments, Spin, & Models
653003 - Nuclear Theory- Nuclear Reactions & Scattering
ANGULAR MOMENTUM
BARYON REACTIONS
BOSON-EXCHANGE MODELS
CALCIUM 40 TARGET
CHARGED-PARTICLE REACTIONS
Classical and quantum physics: mechanics and fields
CORRELATION FUNCTIONS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELASTIC SCATTERING
EQUATIONS
Exact sciences and technology
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
HADRON REACTIONS
IMPULSE APPROXIMATION
ISOSPIN
MATHEMATICAL MODELS
MATRICES
MULTIPLE SCATTERING
NUCLEAR PHYSICS AND RADIATION PHYSICS
NUCLEAR REACTIONS
NUCLEON REACTIONS
OPTICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PERIPHERAL MODELS
Physics
PROTON REACTIONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
RELATIVITY THEORY
S MATRIX
SCATTERING
SCHROEDINGER EQUATION
SPIN
TARGETS
WAVE EQUATIONS
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Summary:A covariant formulation of the multiple scattering series for the optical potential is presented. We consider the case of a scalar nucleon'' interacting with a spin zero isospin zero {ital A}-body target through meson exchange. We show that a covariant equation for the projectile-target {ital t} matrix can be obtained that sums the ladder and crossed ladder diagrams efficiently. From this equation, a multiple scattering series for the optical potential is derived, and we show that in the impulse approximation, the two-body {ital t} matrix associated with the first-order optical potential is the one in which one particle is kept on mass shell. The meaning of various terms in the multiple scattering series is given and we describe how to construct the first-order optical potential for elastic scattering calculations.
ISSN:0556-2813
1089-490X
DOI:10.1103/PhysRevC.42.1681