Towards explanation of the "inertia anomalies" in realistic mean field calculations

Careful theoretical studies of the nuclear collective inertia based on the non-relativistic mean-field theory and the cranking model [N. El Aouad et a l., Nucl. Phys. A676, 155 (2000)] indicate that the moments of inertia of t he super-deformed nuclei calculated using various standard methods and para meterizations exceed systematically the experimental values. Similarly, but for other reasons the relativistic cranking calculations based on the rela tivistic mean field method present, in our opinion, a different class of sy stematic deviations from experiment. The origin and possible explanations o f these deviations axe discussed briefly.