Microscopic calculations of high-spin rotational states
The high-spin rotational states of /sup 162/Er, /sup 168/Yb, /sup 174/Hf, and /sup 238/U are calculated microscopically by diagonalizing the cranking Hamiltonian H-..omega..J/sub x/ using both BCS and fully particle-number projected wave functions. The computational effort in the latter case is greatly reduced due to a newly derived compact formula for the residuum integral. The results show that pairing collapse does not occur in all four nuclei up to spin 20. The moderate increase of the moment of inertia at low spin is due to both higher-order cranking and Coriolis-antipairing effects. The crossing of the decoupled two-quasiparticle band with the ground band is responsible for the rapid increase of the moment of inertia at high spin. The present calculations are able to produce the rotational energies fairly well in general, but the Nilsson single-particle levels have to be adjusted in order to reproduce the backbending behavior in /sup 162/Er.
- Research Organization:
- Cyclotron Institute and Physics Department, Texas AandM University, College Station, Texas 77843
- OSTI ID:
- 7082019
- Journal Information:
- Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 16:3; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ACTINIDE ISOTOPES
ACTINIDE NUCLEI
ALPHA DECAY RADIOISOTOPES
ANGULAR MOMENTUM
CRANKING MODEL
ENERGY LEVELS
ERBIUM 162
ERBIUM ISOTOPES
EVEN-EVEN NUCLEI
EXCITED STATES
FUNCTIONS
HAFNIUM 174
HAFNIUM ISOTOPES
HAMILTONIANS
HEAVY NUCLEI
HIGH SPIN STATES
INTERMEDIATE MASS NUCLEI
ISOTOPES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MOMENT OF INERTIA
NUCLEAR MODELS
NUCLEI
PERTURBATION THEORY
QUANTUM OPERATORS
RADIOISOTOPES
RARE EARTH ISOTOPES
RARE EARTH NUCLEI
ROTATIONAL STATES
STABLE ISOTOPES
URANIUM 238
URANIUM ISOTOPES
WAVE FUNCTIONS
YEARS LIVING RADIOISOTOPES
YTTERBIUM 168
YTTERBIUM ISOTOPES