A SEMICLASSICAL DESCRIPTION OF RAPIDLY ROTATING NUCLEI

A brief review is made of a recent semiclassical treatment of nuclear rotation where explicit and simple expressions for relevant densities and moments of inertia in terms of the matter densities of rotating nu clei, have been derived within the framework of the Extended Thomas-Fe rmi approximation upon using a Skyrme nucleon-nucleon effective intera ction. As a result of preliminary non-fully self-consistent calculatio ns, the moments of inertia are found not to deviate very much from the rigid body ansatz, since corrective terms arising from the orbital mo tion and the spin degrees of freedom are found to roughly cancel each other. We particularly develop here a proof of equivalence in our rout hian approach, of kinematic and dynamic moments of inertia. As a testi ng case we have also extended the formalism to the translational case in the ''pushing model'' approach and found the right translational ma ss.