Self-consistent theory of very high spin states

Selfconsistent calculations of rotational states in Rare Earth nuclei have been performed with the Skyrme-interaction. The cranking approach was chosen as an approximation to angular momentum projection. For two nuclei, 162Yb and 164Er, Hartree-Fock-Bogolyubov and Hartree-Fock calculations were performed without using a core approximation. Rotational bands were calculated up to spins I approx. 60. The results in the lower spin region (I < 20 h/2π) show a qualitative agreement with existing pairing-plus-quadrupole calculations and experiment. In the high spin region a moment of inertia close to the static value was obtained. This result is discussed with respect to recent experiments. The frequently applied core-approximation was found to be not reliable for excited bands. Finally a new method is proposed to incorporate pairing correlations into Strutinsky-type calculations for high spin states. Results for yrast-lines obtained with this method are shown. (orig.)