Nonlinear dynamics of high-j cranking model: A semi-classical approach

We present a complete discussion of the dynamical scenario supported by the cranking model for high-j orbital where we consider the effects of the nonlinear terms. We carry out a semiclassical quantization about the various fixed points of the model and obtain the alignment of particle angular momentum with the rotation axis under various conditions. Further, we establish the occurrence of second-order phase transition accompanied by a change of sign of aligned angular momentum. Possible applications of the model to deformed and superdeformed nuclei are considered.