Formulating the interacting boson model by mean-field methods
- 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, Vol. 81, Issue 4; Other Information: DOI: 10.1103/PhysRevC.81.044307; (c) 2010 The American Physical Society; ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
ANGULAR MOMENTUM
BOSONS
CHAINS
COMPARATIVE EVALUATIONS
CORRELATIONS
EIGENVALUES
HADRONIC ATOMS
HAMILTONIANS
INTERACTING BOSON MODEL
INTERACTIONS
LEAD 208
MEAN-FIELD THEORY
NEUTRON-RICH ISOTOPES
NEUTRONS
NUCLEAR DEFORMATION
NUCLEAR FORCES
PAULI PRINCIPLE
PHASE TRANSFORMATIONS
POTENTIAL ENERGY
QUANTUM MECHANICS
SAMARIUM ISOTOPES
SIMULATION
SKYRME POTENTIAL
SPECTRA
SPHERICAL CONFIGURATION
SURFACES
SYMMETRY
WAVE FUNCTIONS
ATOMS
BARYONS
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
CONFIGURATION
DEFORMATION
ELEMENTARY PARTICLES
ENERGY
EVALUATION
EVEN-EVEN NUCLEI
FERMIONS
FUNCTIONS
HADRONS
HEAVY NUCLEI
ISOTOPES
LEAD ISOTOPES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
NUCLEAR MODELS
NUCLEI
NUCLEON-NUCLEON POTENTIAL
NUCLEONS
POTENTIALS
QUANTUM OPERATORS
RADIOISOTOPES
SHELL MODELS
STABLE ISOTOPES