Collective two-phonon states in deformed nuclei
The Pauli principle in the two-phonon components of the wave functions is taken into account within the framework of the quasiparticle-phonon model of the nucleus with phonon operators depending on the sign of the projection of the angular momentum. The centroid energies of collective two-phonon states in even-even deformed nuclei are calculated and it is shown that the inclusion of the Pauli principle shifts them by 1--3 MeV to higher energies. The shifts of the three-phonon poles due to the inclusion of the Pauli principle in the three-phonon components of the wave functions are calculated. Strong fragmentation of collective two-phonon states whose energy centroids are 3--5 MeV should be expected. It is concluded that collective two-phonon states need not exist in deformed nuclei. The situation with the /sup 168/Er nucleus and the Th and U isotopes is analyzed.
- Research Organization:
- Joint Institute for Nuclear Research
- OSTI ID:
- 5908798
- Journal Information:
- Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 36:6; ISSN SJNCA
- Country of Publication:
- United States
- Language:
- English
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Moments
Spin
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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ACTINIDE ISOTOPES
COLLECTIVE EXCITATIONS
DEFORMED NUCLEI
ENERGY-LEVEL TRANSITIONS
ERBIUM 168
ERBIUM ISOTOPES
EVEN-EVEN NUCLEI
EXCITATION
FUNCTIONS
INTERMEDIATE MASS NUCLEI
ISOTOPES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
NUCLEI
PAULI PRINCIPLE
PHONONS
PROJECTION OPERATORS
QUASI PARTICLES
QUASIPARTICLE-PHONON MODEL
RARE EARTH ISOTOPES
RARE EARTH NUCLEI
SPECTRAL SHIFT
STABLE ISOTOPES
THORIUM ISOTOPES
URANIUM ISOTOPES
WAVE FUNCTIONS