Formulating the interacting boson model by mean-field methods

Journal Article · Thu Apr 15 04:00:00 EDT 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.81.044307· OSTI ID:21388916

Nomura, Kosuke; Shimizu, Noritaka ^[1]; Otsuka, Takaharu ^[1]

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1. Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, 113-0033 (Japan)

The interacting boson model (IBM) Hamiltonian is determined microscopically for general cases of low-lying quadrupole collectivity. Under the assumption that the multinucleon-induced surface deformations, which reflect nuclear forces and the Pauli principle, can be simulated by bosons, the interaction strengths of the IBM Hamiltonian are derived by mapping the potential energy surface of the mean-field model with Skyrme force onto the corresponding one of the IBM. These interaction strengths turn out to change gradually as functions of valence nucleon numbers. The energy eigenvalues and the wave functions are calculated with the exact treatment of the particle number and the angular momentum. We demonstrate how well the method works by taking Sm isotopes as an example, where a typical spherical-deformed shape-phase transition is reproduced successfully. We show that the physically relevant IBM interaction strengths can be determined unambiguously by the use of wavelet analysis. In addition, by the diagonalization of the boson Hamiltonian, quantum-mechanical correlation effects can be included in the eigenenergies, by which the basic properties of these nuclei are properly reproduced. The present method is applied to several other isotopic chains, Ba, Xe, Ru, Pd, W, and Os, in comparison to the experimental data. We point out the relevance of our results to the recently proposed critical-point symmetries. The predicted spectra and the B(E2) ratios are presented for heavy neutron-rich exotic nuclei in experimentally unexplored regions such as the right-lower corner of {sup 208}Pb on the nuclear chart.

• OSTI ID: 21388916
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 4 Vol. 81; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
ATOMS
BARYONS
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
BOSONS
CHAINS
COMPARATIVE EVALUATIONS
CONFIGURATION
CORRELATIONS
DEFORMATION
EIGENVALUES
ELEMENTARY PARTICLES
ENERGY
EVALUATION
EVEN-EVEN NUCLEI
FERMIONS
FUNCTIONS
HADRONIC ATOMS
HADRONS
HAMILTONIANS
HEAVY NUCLEI
INTERACTING BOSON MODEL
INTERACTIONS
ISOTOPES
LEAD 208
LEAD ISOTOPES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MEAN-FIELD THEORY
MECHANICS
NEUTRON-RICH ISOTOPES
NEUTRONS
NUCLEAR DEFORMATION
NUCLEAR FORCES
NUCLEAR MODELS
NUCLEI
NUCLEON-NUCLEON POTENTIAL
NUCLEONS
PAULI PRINCIPLE
PHASE TRANSFORMATIONS
POTENTIAL ENERGY
POTENTIALS
QUANTUM MECHANICS
QUANTUM OPERATORS
RADIOISOTOPES
SAMARIUM ISOTOPES
SHELL MODELS
SIMULATION
SKYRME POTENTIAL
SPECTRA
SPHERICAL CONFIGURATION
STABLE ISOTOPES
SURFACES
SYMMETRY
WAVE FUNCTIONS