Microscopically derived interacting boson model

Conference · Tue Jan 15 04:00:00 EST 1985 · AIP Conf. Proc.; (United States)

OSTI ID:5641458

Otsuka, T

The microscopic basis of the Interacting Boson Model 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. The mapping method for spherical nuclei is reviewed, and the mapping method for deformed nuclei, which was recently developed, is discussed in some detail. 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 of the derivation of the IBM Hamiltonian, 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. It is demonstrated that the s-d Hamiltonian thus derived indeed reproduces spectra of the original s-d-g Hamiltonian.

• Research Organization: Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 and Japan Atomic Energy Research Institute, Tokai, Ibaraki, Japan
• OSTI ID: 5641458
• Report Number(s): CONF-840906-
• Conference Information: Journal Name: AIP Conf. Proc.; (United States) Journal Volume: 125:1
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
COLLECTIVE EXCITATIONS
DEFORMED NUCLEI
ENERGY SPECTRA
ENERGY-LEVEL TRANSITIONS
EXCITATION
HADRON-HADRON INTERACTIONS
HAMILTONIANS
INTERACTING BOSON MODEL
INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
NUCLEI
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
QUANTUM OPERATORS
SHELL MODELS
SPECTRA