Abstract
The recently proposed model to explain the mechanism of the rotational motion damping in nuclei is exactly solved. When compared with the earlier approximative solution, we find significative differences in the low excitation energy limit (i.e. $$\Gamma _\mu<< 2\Delta \omega _0 $$ ). For the strength functions we find distributions going from the Wigner semicircle through gaussians to Breit-Wigner shapes.
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