Abstract
The problems with the cranking model in the vicinity of a band crossing recently pointed out by Hamamoto are reexamined. The sharp peak in the angular-momentum fluctuation and related peculiarities obtained previously in a non-self-consistent cranking calculation applied to an i 13 2 particles + rotor model are found to persist even when the calculation is done self-consistently, contrary to the expectations of Sorensen. A new feature is also found: vanishing interaction between crossing bands for some nucleon numbers. A simple analytic model is introduced which can qualitatively simulate such peculiarities and suggests a possible explanation for them. This model indicates that a check on the stability of self-consistent cranking solutions may sometimes help to eliminate spurious segments of rotational trajectories. Finally, angular-momentum fluctuations resulting from realistic HFB cranking calculations are presented for the first time. A method based on the RPA is suggested for correcting the fluctuation problem for the yrast band.
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