Separable approximations of two-body interactions

Journal Article · Sat Jan 01 04:00:00 EST 1983 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.27.63· OSTI ID:5981954

Haidenbauer, J; Plessas, W

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), Journal Name: Phys. Rev. C; (United States) Vol. 27:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
BOUNDARY CONDITIONS
FUNCTIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEON-NUCLEON POTENTIAL
PARTICLE PROPERTIES
POTENTIALS
SHELL MODELS
SPIN
TWO-BODY PROBLEM
WAVE FUNCTIONS