Dynamical moment of inertia and quadrupole vibrations in rotating nuclei

The contribution of quantum shape fluctuations to inertial properties of rotating nuclei has been analyzed within the self-consistent one-dimensional cranking oscillator model. It is numerically proven that for even-even nuclei the dynamical moment of inertia calculated in a mean field approximation in the rotating frame is equivalent to the Thouless-Valatin moment of inertia. If the contribution of the quantum fluctuations to the total energy is taken into account, the dynamical moment of inertia differs from the Thouless-Valatin value