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Renormalization for collective motion within a truncated space of the spherical shell model. II. Projected frame in a schematic model

Journal Article · · Ann. Phys. (N.Y.); (United States)
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In paper I, (Ann. Phys. (N.Y.) 94 (1975) the matrix elements of effective operators in an intrinsic frame of the spherical shell model, that were determined by an iterative, renormalization technique, were shown to be analytically equivalent to those from a deformed, unrestricted Hartee-Fock model for the case of /sup 20/Ne with a schematic quadrupol-quadrupole Hamiltonian. This paper shows the numerical comparison of the results from the renormalized spherical shell model and the projected, deformed Hartee-Fock model in the laboratory frame with states of definite angular momentum. Good agreement is found for the full iterative, renormalization results and those from the variation-after-projection Hartree-Fock model.

Research Organization:
Atomic Energy of Canada Limited, Chalk River Nuclear Laboratories, Chalk River, Ontario, Canada KOJ 1JO
OSTI ID:
6947427
Journal Information:
Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 112:1; ISSN APNYA
Country of Publication:
United States
Language:
English

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Related Subjects

651413* -- Nuclear Properties & Reactions
A=20-38
Theoretical-- Energy Levels & Transitions-- (-1987)
653007 -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
ENERGY SPECTRA
EVEN-EVEN NUCLEI
HAMILTONIANS
HARTREE-FOCK METHOD
ISOTOPES
LIGHT NUCLEI
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
NEON 20
NEON ISOTOPES
NUCLEAR MODELS
NUCLEAR STRUCTURE
NUCLEI
PERTURBATION THEORY
PROJECTION OPERATORS
QUANTUM OPERATORS
RENORMALIZATION
SHELL MODELS
SPECTRA
STABLE ISOTOPES