Microscopically derived interacting boson model

Conference · Tue Jan 15 00:00:00 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-
• Journal Information: AIP Conf. Proc.; (United States), Vol. 125:1; Conference: Capture gamma-ray spectroscopy conference, Knoxville, TN, USA, 10 Sep 1984
• Country of Publication: United States
• Language: English

Related Subjects

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