# Algebraic description of triaxially deformed rotational bands in odd mass nuclei

## Abstract

An extensive application of the Holstein-Primakoff boson expansion to both single-particle angular momentum and total angular momentum provides an algebraic solution, which gives a good approximation to the exact results for the particle-rotor model with one high-j nucleon coupled to a triaxially deformed core. Two kinds of quantum numbers classify the rotational bands characteristic of the particle-rotor model and lead the selection rules for the interband and intraband transitions. The algebraic solution is compared with the experimental data for the odd mass isotopes {sup 163,165,167}Lu as testing grounds.

- Authors:

- Department of Physics, Saitama University, Sakura-Ku, Saitama 338-8570 (Japan)
- Otsuma Women's University, Tama, Tokyo 206-8540 (Japan)

- Publication Date:

- OSTI Identifier:
- 20771328

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.73.034305; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ANGULAR MOMENTUM; APPROXIMATIONS; BOSON EXPANSION; COLLECTIVE MODEL; DEFORMED NUCLEI; LUTETIUM 167; MASS NUMBER; MATHEMATICAL SOLUTIONS; NUCLEONS; PARTICLE-CORE COUPLING MODEL; QUANTUM NUMBERS; ROTATIONAL STATES; SELECTION RULES

### Citation Formats

```
Tanabe, Kosai, and Sugawara-Tanabe, Kazuko.
```*Algebraic description of triaxially deformed rotational bands in odd mass nuclei*. United States: N. p., 2006.
Web. doi:10.1103/PhysRevC.73.034305.

```
Tanabe, Kosai, & Sugawara-Tanabe, Kazuko.
```*Algebraic description of triaxially deformed rotational bands in odd mass nuclei*. United States. doi:10.1103/PhysRevC.73.034305.

```
Tanabe, Kosai, and Sugawara-Tanabe, Kazuko. Wed .
"Algebraic description of triaxially deformed rotational bands in odd mass nuclei". United States.
doi:10.1103/PhysRevC.73.034305.
```

```
@article{osti_20771328,
```

title = {Algebraic description of triaxially deformed rotational bands in odd mass nuclei},

author = {Tanabe, Kosai and Sugawara-Tanabe, Kazuko},

abstractNote = {An extensive application of the Holstein-Primakoff boson expansion to both single-particle angular momentum and total angular momentum provides an algebraic solution, which gives a good approximation to the exact results for the particle-rotor model with one high-j nucleon coupled to a triaxially deformed core. Two kinds of quantum numbers classify the rotational bands characteristic of the particle-rotor model and lead the selection rules for the interband and intraband transitions. The algebraic solution is compared with the experimental data for the odd mass isotopes {sup 163,165,167}Lu as testing grounds.},

doi = {10.1103/PhysRevC.73.034305},

journal = {Physical Review. C, Nuclear Physics},

number = 3,

volume = 73,

place = {United States},

year = {Wed Mar 15 00:00:00 EST 2006},

month = {Wed Mar 15 00:00:00 EST 2006}

}

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