Selfconsistent harmonic oscillator model and tilted rotation
Abstract
The threedimensional harmonic oscillator model including a cranking term is used for an energy variational calculation. Energy minima are found under variation of the three oscillator frequencies determining the shape of the system for given values of the three components of the rotational vector which determines the orientation of the angular momentum in the intrinsic frame. Tilted rotations are established by numerical means for triaxial nuclei. The onset of tilted rotations is related to an instability of the mean field as verified by the random phase approximation. Analytic expressions are derived for the critical rotational frequencies associated with the meanfield instability.
 Publication:

Physical Review C
 Pub Date:
 May 2002
 DOI:
 10.1103/PhysRevC.65.054304
 arXiv:
 arXiv:nuclth/0110070
 Bibcode:
 2002PhRvC..65e4304H
 Keywords:

 21.60.Ev;
 21.60.Jz;
 21.10.Re;
 Collective models;
 HartreeFock and randomphase approximations;
 Collective levels;
 Nuclear Theory;
 Condensed Matter
 EPrint:
 16 pages, 2 figures, extended version