Semi-microscopic theory of quantized rotational and intrinsic motions in deformed nuclei

Abstract

The method of mode-mode coupling for the rotational and intrinsic excitations in deformed nuclei, previously worked out by Kuriyama for a single- j-shell model with pairing plus quadrupole force, is first refined for a many- j-shell model and then extended to a model with the monopole and quadrupole pairing plus quadrupole force. The collective rotation is regarded as an independent branch of intrinsic excitations. Then, the coupling between rotational and intrinsic-excitation modes is derived microscopically. The method consists of succesfully solving the equation of motion for fermion pair operators. The method makes it possible to determine, without involving the concept of forced rotation, all the matrix elements of the operators within and between rotational bands, as well as the moment of inertia, which coincides with the sum of the cranking model term and the Migdal term. The present method is compared with other approaches.