Scissors vibration and its collective rotation in a microscopic investigation

The intrinsic vibrational motion and the rotational behavior of the scissors mode in well deformed nuclei are investigated with an angular-momentum-projected approach,which is interpreted as a generator-coordinatemethod with the generator coordinates corresponding to the degrees of freedom of interest.The picture of the intrinsic and rotational motion of the scissors mode is illustrated from the collective wave function within the framework of the generator-coordinate-method.The harmonicity of the scissors vibration is found to arise naturally from the present model but can be disturbed by the Coriolis effect as spin increases.The odd and even spin members of the rotational band based on the scissors mode rotate about different axes perpendicular to each other,leading to the flipping moment of inertia and the consequent splitting behavior that has been suggested previously.