Separable approximations of two-body interactions
We perform a critical discussion of the efficiency of the Ernst-Shakin-Thaler method for a separable approximation of arbitrary two-body interactions by a careful examination of separable /sup 3/S/sub 1/-/sup 3/D/sub 1/ N-N potentials that were constructed via this method by Pieper. Not only the on-shell properties of these potentials are considered, but also a comparison is made of their off-shell characteristics relative to the Reid soft-core potential. We point out a peculiarity in Pieper's application of the Ernst-Shakin-Thaler method, which leads to a resonantlike behavior of his potential 3SD1D. It is indicated where care has to be taken in order to circumvent drawbacks inherent in the Ernst-Shakin-Thaler separable approximation scheme. .ID CT2009 .PG 71 82
- Research Organization:
- Institut fuer Theoretische Physik, Karl-Franzens-Universitaet Graz, A-8010 Graz, Austria
- OSTI ID:
- 5981954
- Journal Information:
- Phys. Rev. C; (United States), Vol. 27:1
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
NUCLEON-NUCLEON POTENTIAL
TWO-BODY PROBLEM
BOUNDARY CONDITIONS
SHELL MODELS
SPIN
WAVE FUNCTIONS
ANGULAR MOMENTUM
FUNCTIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
NUCLEAR MODELS
PARTICLE PROPERTIES
POTENTIALS
653003* - Nuclear Theory- Nuclear Reactions & Scattering