Off-shell T matrices from inverse scattering

Inverse scattering theory is used to determine local, energy-independent, coordinate space nucleon-nucleon potentials. Inversions are made of phase shifts obtained by analyses of data and from meson exchange theory, in particular the Paris and the Bonn parametrizations. Half-off-shell {ital T} matri...

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Bibliographic Details
Published in:Physical review. C, Nuclear physics Nuclear physics, 1990-04, Vol.41 (4), p.1384-1390
Main Authors: von Geramb HV, Amos, KA
Format: Article
Language:English
Subjects:
653001 - Nuclear Theory- Nuclear Structure, Moments, Spin, & Models
653003 - Nuclear Theory- Nuclear Reactions & Scattering
BOSON-EXCHANGE MODELS
DIFFERENTIAL EQUATIONS
EQUATIONS
INTEGRAL EQUATIONS
INVERSE SCATTERING PROBLEM
LIPPMANN-SCHWINGER EQUATION
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATRICES
MATTER
NUCLEAR MATTER
NUCLEAR MODELS
NUCLEAR PHYSICS AND RADIATION PHYSICS
NUCLEON-NUCLEON POTENTIAL
OPTICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PERIPHERAL MODELS
PHASE SHIFT
POTENTIALS
S MATRIX
SCHROEDINGER EQUATION
SHELL MODELS
TWO-BODY PROBLEM
WAVE EQUATIONS
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Summary:Inverse scattering theory is used to determine local, energy-independent, coordinate space nucleon-nucleon potentials. Inversions are made of phase shifts obtained by analyses of data and from meson exchange theory, in particular the Paris and the Bonn parametrizations. Half-off-shell {ital T} matrices are generated to compare the exact meson theoretical results with those of inversion, and it is found that phase equivalent interactions have essentially the same off-shell behavior for any physically significant range of momenta.
ISSN:0556-2813
1089-490X
DOI:10.1103/PhysRevC.41.1384