# Modified formulation of the phenomenological interacting boson approximation

## Abstract

Previous interacting-boson-approximation studies of deformed nuclei have used different forms of the quadrupole operator in the Hamiltonian and E2 operators. A revised formalism is proposed which employs consistent operators and embodies a simpler Hamiltonian. It yields improved agreement with the data for deformed nuclei, a number of parameter-free predictions for transition regions, and a specific form of the O(6) limit which agrees with that found empirically.

- Authors:

- Publication Date:

- Research Org.:
- Brookhaven National Laboratory, Upton, New York 11973

- OSTI Identifier:
- 5093386

- DOE Contract Number:
- AC02-76CH00016

- Resource Type:
- Journal Article

- Journal Name:
- Phys. Rev. Lett.; (United States)

- Additional Journal Information:
- Journal Volume: 48:20

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; DEFORMED NUCLEI; INTERACTING BOSON MODEL; ERBIUM 168 TARGET; E2-TRANSITIONS; HAMILTONIANS; O GROUPS; QUANTUM OPERATORS; DYNAMICAL GROUPS; ENERGY-LEVEL TRANSITIONS; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MULTIPOLE TRANSITIONS; NUCLEAR MODELS; NUCLEI; SHELL MODELS; SYMMETRY GROUPS; TARGETS; 653007* - Nuclear Theory- Nuclear Models- (-1987); 651813 - Nuclear Properties & Reactions, A=150-189, Theoretical- Energy Levels & Transitions- (-1987)

### Citation Formats

```
Warner, D.D., and Casten, R.F..
```*Modified formulation of the phenomenological interacting boson approximation*. United States: N. p., 1982.
Web. doi:10.1103/PhysRevLett.48.1385.

```
Warner, D.D., & Casten, R.F..
```*Modified formulation of the phenomenological interacting boson approximation*. United States. doi:10.1103/PhysRevLett.48.1385.

```
Warner, D.D., and Casten, R.F.. Mon .
"Modified formulation of the phenomenological interacting boson approximation". United States. doi:10.1103/PhysRevLett.48.1385.
```

```
@article{osti_5093386,
```

title = {Modified formulation of the phenomenological interacting boson approximation},

author = {Warner, D.D. and Casten, R.F.},

abstractNote = {Previous interacting-boson-approximation studies of deformed nuclei have used different forms of the quadrupole operator in the Hamiltonian and E2 operators. A revised formalism is proposed which employs consistent operators and embodies a simpler Hamiltonian. It yields improved agreement with the data for deformed nuclei, a number of parameter-free predictions for transition regions, and a specific form of the O(6) limit which agrees with that found empirically.},

doi = {10.1103/PhysRevLett.48.1385},

journal = {Phys. Rev. Lett.; (United States)},

number = ,

volume = 48:20,

place = {United States},

year = {1982},

month = {5}

}

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