A Consistent Microscopic Description of Rotational Motion in Even-Even Deformed Nuclei

The idea of using sum rules expressing different single-particle transition operators in terms of higher powers of other operators, recently devised by D. H. E. Gross and the present author, is applied to the description of nuclear rotational motion in a proton-neutron system. For simplicity, we restrict ourselves to the single jp-and jn-shell model with a quadrupole interaction. Moment of inertia, quadrupole moments; transition probabilities and collective g-factor show excellent agreement with those given by the cranking model.