# Application of the multiphonon method to the study of the vibrational states with K = 0 in heavy deformed nuclei

## Abstract

The multiphonon method based on K/sup ..pi../ = 0/sup -/ and K/sup ..pi../ = 0/sup +/ phonons is applied to heavy mass deformed even nuclei, such as Th, U, and Pu isotopes. Special emphasis is put on the location and properties of the ''two phonon'' states. Relative to an harmonic situation, the calculated energy spectra are systematically dilated. The octupole vibrations with K/sup ..pi../ = 0/sup -/ present larger anharmonicities than the vibrations K/sup ..pi../ = 0/sup +/ which, in these nuclei, are found to be mainly of pairing nature. The two modes appear to be weakly coupled. The ''two phonon'' states are predicted to have an energy of about 1.7 to 2.0 MeV and keep some collective character through their electromagnetic transitions to the ''one phonon'' states. These conclusions are at variance with those of the quasiparticle phonon nuclear model of Soloviev et al.

- Authors:

- Publication Date:

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

- OSTI Identifier:
- 5261224

- Resource Type:
- Journal Article

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

- Additional Journal Information:
- Journal Volume: 37:6

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; PLUTONIUM ISOTOPES; VIBRATIONAL STATES; THORIUM ISOTOPES; URANIUM ISOTOPES; COLLECTIVE MODEL; DEFORMED NUCLEI; ENERGY SPECTRA; ENERGY-LEVEL TRANSITIONS; FERMIONS; MATRIX ELEMENTS; PARITY; QUASIPARTICLE-PHONON MODEL; RANDOM PHASE APPROXIMATION; SPIN; TAMM-DANCOFF METHOD; ACTINIDE ISOTOPES; ANGULAR MOMENTUM; ENERGY LEVELS; EXCITED STATES; ISOTOPES; MATHEMATICAL MODELS; NUCLEAR MODELS; NUCLEI; PARTICLE PROPERTIES; SPECTRA; 653001* - Nuclear Theory- Nuclear Structure, Moments, Spin, & Models

### Citation Formats

```
Leandri, J, and Piepenbring, R.
```*Application of the multiphonon method to the study of the vibrational states with K = 0 in heavy deformed nuclei*. United States: N. p., 1988.
Web. doi:10.1103/PhysRevC.37.2779.

```
Leandri, J, & Piepenbring, R.
```*Application of the multiphonon method to the study of the vibrational states with K = 0 in heavy deformed nuclei*. United States. https://doi.org/10.1103/PhysRevC.37.2779

```
Leandri, J, and Piepenbring, R. Wed .
"Application of the multiphonon method to the study of the vibrational states with K = 0 in heavy deformed nuclei". United States. https://doi.org/10.1103/PhysRevC.37.2779.
```

```
@article{osti_5261224,
```

title = {Application of the multiphonon method to the study of the vibrational states with K = 0 in heavy deformed nuclei},

author = {Leandri, J and Piepenbring, R},

abstractNote = {The multiphonon method based on K/sup ..pi../ = 0/sup -/ and K/sup ..pi../ = 0/sup +/ phonons is applied to heavy mass deformed even nuclei, such as Th, U, and Pu isotopes. Special emphasis is put on the location and properties of the ''two phonon'' states. Relative to an harmonic situation, the calculated energy spectra are systematically dilated. The octupole vibrations with K/sup ..pi../ = 0/sup -/ present larger anharmonicities than the vibrations K/sup ..pi../ = 0/sup +/ which, in these nuclei, are found to be mainly of pairing nature. The two modes appear to be weakly coupled. The ''two phonon'' states are predicted to have an energy of about 1.7 to 2.0 MeV and keep some collective character through their electromagnetic transitions to the ''one phonon'' states. These conclusions are at variance with those of the quasiparticle phonon nuclear model of Soloviev et al.},

doi = {10.1103/PhysRevC.37.2779},

url = {https://www.osti.gov/biblio/5261224},
journal = {Phys. Rev. C; (United States)},

number = ,

volume = 37:6,

place = {United States},

year = {1988},

month = {6}

}