Rotor Model for Rotational Bands of Superdeformed Nuclei

A nonrigid rotor model is developed from the two-parameter quantum algebra U qp (u 2). [This model presents the U qp (u 2) symmetry and shall be referred to as the qp-rotor model.] A ro-tational energy formula as well as a qp-deformation of E2 reduced transition probabilities are derived. The qp-rotor model is applied (through fitting procedures) to twenty rotational bands of superdeformed nuclei in the A ∼ 130, 150 and 190 mass regions. Systematic comparisons between the qp-rotor model and the q-rotor model of Raychev, Roussev and Smirnov, on one hand, and a basic three-parameter model, on the other hand, are performed on energy spectra , on dynamical moments of inertia and on B(E2) values. The physical signification of the deformation parameters q and p is discussed.