Microscopic calculation for deformed nuclei

Conference · Mon Sep 24 04:00:00 EDT 1984

OSTI ID:6302238

Otsuka, Takaharu

The microscopic basis of the Interacting Boson Model for deformed nuclei is discussed. The IBM Hamiltonian is constructed microscopically in the following two steps. In the first step, the collective nucleon pairs of J = 0/sup +/ (S), 2/sup +/ (D), etc. are mapped onto the corresponding bosons. Nucleon-nucleon interactions are also mapped onto boson-boson interactions. This mapping method for deformed nuclei was proposed recently, and it turned out that this method is consistent with the Hartree-Fock-Bogoliubov + angular momentum projection calculation. Low-lying collective states primarily consist of S and D pairs. Consequently, the corresponding boson states mainly consist of s and d bosons, while there are some admixture of g-bosons. In the second step, effects of these g-bosons are included within the s-d boson space by a unitary transformation which transforms a combination of d and g bosons into a new d-boson. By minimizing the coupling between new d and g bosons with an appropriate mixing angle, one can neglect the coupling and obtain the IBM Hamiltonian with s and d bosons. It is demonstrated that the s-d Hamiltonian thus derived indeed reproduces spectra of the original s-d-g Hamiltonian.

• Research Organization: Los Alamos National Lab., NM (USA); Japan Atomic Energy Research Inst., Tokyo
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 6302238
• Report Number(s): LA-UR-84-3086; CONF-8405231-9; ON: DE85000656
• Country of Publication: United States
• Language: English

Related Subjects

653007* -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOSONS
COLLECTIVE EXCITATIONS
COUPLING
D STATES
DEFORMED NUCLEI
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EXCITATION
G STATES
HAMILTONIANS
INTERACTING BOSON MODEL
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
NUCLEI
QUANTUM OPERATORS
S STATES
SHELL MODELS