Pairing and Coriolis effects in deformed odd-mass nuclei

The many particles plus rotor model provides an appropriate framework for the study of strongly deformed nuclei. We discuss here a version of this model in which the pairing correlations between the valence nucleons in the intrinsic deformed field are treated by a new method, the chain-calculation method. This method has the power to reduce the computational work drastically while yielding practically exact results. The model is applied to the two odd-mass nuclei 163 Er and 165 Er focusing attention on the lowest-lying decoupled band. The role of the recoil term as a mechanism that produces attenuation of the Coriolis coupling is emphasized. The results of our calculation for both nuclei turn out to be in good agreement with experiment. (authors)