Constant-volume constraint and many-body forces in the Nilsson model
Journal Article
·
· Phys. Rev. C; (United States)
It is shown that the Nilsson prescription for calculating equilibrium deformations of nuclei under the constraint of constant volume may be interpreted in terms of a Hartree mean-field approximation applied to nucleons interacting via many-body forces. Such an interaction is obtained in closed form, having a Taylor expansion beginning with the familiar quadrupole-quadrupole interaction, and then successively adding three-body, four-body, etc., terms. Since the interaction is not uniquely determined, two interesting forms are discussed. One, having both monopole and quadrupole parts, has a Hartree field identical to the Nilsson potential. The other, which is purely quadrupole, permits a generalization to all orders of a result obtained by Moszkowski for small deformations. The scalar many-body interaction naturally explains the nonscalar effective two-body interactions used in random-phase approximation calculations of deformed nuclei.
- Research Organization:
- Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556
- OSTI ID:
- 6583623
- Journal Information:
- Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 29:2; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
653007 -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
COULOMB FIELD
DEFORMED NUCLEI
ELECTRIC FIELDS
HADRON-HADRON INTERACTIONS
HAMILTONIANS
HARTREE-FOCK METHOD
INTERACTIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATTER
MONOPOLES
MULTIPOLES
NILSSON-MOTTELSON MODEL
NUCLEAR MATTER
NUCLEAR MODELS
NUCLEI
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
QUADRUPOLES
QUANTUM OPERATORS
RANDOM PHASE APPROXIMATION
Moments
Spin
& Models
653007 -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
COULOMB FIELD
DEFORMED NUCLEI
ELECTRIC FIELDS
HADRON-HADRON INTERACTIONS
HAMILTONIANS
HARTREE-FOCK METHOD
INTERACTIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATTER
MONOPOLES
MULTIPOLES
NILSSON-MOTTELSON MODEL
NUCLEAR MATTER
NUCLEAR MODELS
NUCLEI
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
QUADRUPOLES
QUANTUM OPERATORS
RANDOM PHASE APPROXIMATION