NONLINEAR DYNAMICS OF PARTICLE ROTOR MODEL AND SUPERDEFORMED BANDS

We present a complete discussion of the nonlinear dynamics of the part icle-rotor model for single-j configuration. We carry out a semiclassi cal quantization about the various fixed points and present numerical results for the bands built at the stable fixed points c+/-. These ban ds are observed to be rotational in nature and exhibit a weak oscillat ion in gamma ray energies. Results are also presented for alignment an d dynamical moment of inertia. A comparison with the experimental data on superdeformed bands reveals several common features.