R. Barbier et al., A U-QP(U(2)) ROTOR MODEL FOR ROTATIONAL BANDS OF SUPERDEFORMED NUCLEI, International journal of modern physics E, 4(2), 1995, pp. 385-410
A nonrigid rotor model is developed from the two-parameter quantum alg
ebra U-qp(u(2)). (This model presents the U-qp(u(2)) symmetry and shal
l be refered to as the qp-rotor model.) A rotational energy formula as
well as a qp-deformation of E2 reduced transition probabilities are d
erived. The qp-rotor model is applied (through fitting procedures) to
twenty rotational bands of superdeformed nuclei in the A similar to 13
0, 150, and 190 mass regions. Systematic comparisons between the qp-ro
tor model and the q-rotor model of Raychev, Roussev, and Smirnov, on o
ne hand, and a basic three-parameter model, on the other, are performe
d on energy spectra, on dynamical moments of inertia and on B(E2) valu
es. The physical significance of the deformation parameters q and p is
discussed.