# Interacting boson model from energy density functionals: {gamma}-softness and the related topics

## Abstract

A comprehensive way of deriving the Hamiltonian of the interacting boson model (IBM) is described. Based on the fact that the multi-nucleon induced surface deformation in finite nucleus is simulated by effective boson degrees of freedom, the potential energy surface calculated with self-consistent mean-field method employing a given energy density functional (EDF) is mapped onto the IBM analog, and thereby the excitation spectra and transition rates with good symmetry quantum numbers are calculated. Recent applications of the proposed approach are reported: (i) an alternative robust interpretation of the {gamma}-soft nuclei and (ii) shape coexistence in lead isotopes.

- Authors:

- Institut fuer Kernphysik, Universitaet zu Koeln, D-50937 Koeln (Germany)

- Publication Date:

- OSTI Identifier:
- 22075601

- Resource Type:
- Journal Article

- Journal Name:
- AIP Conference Proceedings

- Additional Journal Information:
- Journal Volume: 1491; Journal Issue: 1; Conference: Conference on nuclear structure and dynamics 2012, Opatija (Croatia), 9-13 Jul 2012; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; APPROXIMATIONS; DEFORMED NUCLEI; DEGREES OF FREEDOM; DENSITY FUNCTIONAL METHOD; ENERGY DENSITY; ENERGY LEVELS; EXCITATION; HAMILTONIANS; INTERACTING BOSON MODEL; LEAD ISOTOPES; MEAN-FIELD THEORY; NUCLEAR DEFORMATION; NUCLEAR STRUCTURE; POTENTIAL ENERGY; QUANTUM NUMBERS

### Citation Formats

```
Nomura, K.
```*Interacting boson model from energy density functionals: {gamma}-softness and the related topics*. United States: N. p., 2012.
Web. doi:10.1063/1.4764232.

```
Nomura, K.
```*Interacting boson model from energy density functionals: {gamma}-softness and the related topics*. United States. doi:10.1063/1.4764232.

```
Nomura, K. Sat .
"Interacting boson model from energy density functionals: {gamma}-softness and the related topics". United States. doi:10.1063/1.4764232.
```

```
@article{osti_22075601,
```

title = {Interacting boson model from energy density functionals: {gamma}-softness and the related topics},

author = {Nomura, K.},

abstractNote = {A comprehensive way of deriving the Hamiltonian of the interacting boson model (IBM) is described. Based on the fact that the multi-nucleon induced surface deformation in finite nucleus is simulated by effective boson degrees of freedom, the potential energy surface calculated with self-consistent mean-field method employing a given energy density functional (EDF) is mapped onto the IBM analog, and thereby the excitation spectra and transition rates with good symmetry quantum numbers are calculated. Recent applications of the proposed approach are reported: (i) an alternative robust interpretation of the {gamma}-soft nuclei and (ii) shape coexistence in lead isotopes.},

doi = {10.1063/1.4764232},

journal = {AIP Conference Proceedings},

issn = {0094-243X},

number = 1,

volume = 1491,

place = {United States},

year = {2012},

month = {10}

}

DOI: 10.1063/1.4764232

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