# Anharmonicities in K/sup. pi. / = 0/sup +/ and K/sup. pi. / = 0/sup -/ coupled vibrational spectra of deformed nuclei discussed in a simple model

## Abstract

The multiphonon method: i.e., exact diagonalization in the restricted space of collective phonons of different types: is tested in a simple model allowing an exact solution for a many body system of fermions interacting via pairing plus quadrupole and octupole forces. It appears satisfactory for the description of the anharmonicities of the lowest-lying vibrational states with K/sup ..pi../ = 0/sup +/ and 0/sup -/ in deformed nuclei. In particular, it allows electromagnetic transitions between the different one phonon states which cannot be described in any harmonic treatments such as the Tamm-Dancoff or random-phase approximations.

- Authors:

- Publication Date:

- Research Org.:
- Institut des Sciences Nucleaires, 38026 Grenoble-Cedex, France

- OSTI Identifier:
- 5472239

- Resource Type:
- Journal Article

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

- Additional Journal Information:
- Journal Volume: 28:5

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; DEFORMED NUCLEI; VIBRATIONAL STATES; ENERGY-LEVEL TRANSITIONS; HAMILTONIANS; NUCLEAR STRUCTURE; PHONONS; ENERGY LEVELS; EXCITED STATES; MATHEMATICAL OPERATORS; NUCLEI; QUANTUM OPERATORS; QUASI PARTICLES; 653001* - Nuclear Theory- Nuclear Structure, Moments, Spin, & Models

### Citation Formats

```
Jammari, K, Piepenbring, R, and Silvestre-Brac, B.
```*Anharmonicities in K/sup. pi. / = 0/sup +/ and K/sup. pi. / = 0/sup -/ coupled vibrational spectra of deformed nuclei discussed in a simple model*. United States: N. p., 1983.
Web. doi:10.1103/PhysRevC.28.2136.

```
Jammari, K, Piepenbring, R, & Silvestre-Brac, B.
```*Anharmonicities in K/sup. pi. / = 0/sup +/ and K/sup. pi. / = 0/sup -/ coupled vibrational spectra of deformed nuclei discussed in a simple model*. United States. doi:10.1103/PhysRevC.28.2136.

```
Jammari, K, Piepenbring, R, and Silvestre-Brac, B. Tue .
"Anharmonicities in K/sup. pi. / = 0/sup +/ and K/sup. pi. / = 0/sup -/ coupled vibrational spectra of deformed nuclei discussed in a simple model". United States. doi:10.1103/PhysRevC.28.2136.
```

```
@article{osti_5472239,
```

title = {Anharmonicities in K/sup. pi. / = 0/sup +/ and K/sup. pi. / = 0/sup -/ coupled vibrational spectra of deformed nuclei discussed in a simple model},

author = {Jammari, K and Piepenbring, R and Silvestre-Brac, B},

abstractNote = {The multiphonon method: i.e., exact diagonalization in the restricted space of collective phonons of different types: is tested in a simple model allowing an exact solution for a many body system of fermions interacting via pairing plus quadrupole and octupole forces. It appears satisfactory for the description of the anharmonicities of the lowest-lying vibrational states with K/sup ..pi../ = 0/sup +/ and 0/sup -/ in deformed nuclei. In particular, it allows electromagnetic transitions between the different one phonon states which cannot be described in any harmonic treatments such as the Tamm-Dancoff or random-phase approximations.},

doi = {10.1103/PhysRevC.28.2136},

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

number = ,

volume = 28:5,

place = {United States},

year = {1983},

month = {11}

}

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