Microscopic study of superdeformed rotational bands in 151Tb

Structure of eight experimentally known superdeformed bands in the nucleus 151Tb is analyzed using the results of the Hartree-Fock and Woods-Saxon cranking approaches. It is demonstrated that far going detailed similarities between the two approaches exist and predictions related to the structure of rotational bands calculated within the two models are nearly parallel. An interpretation scenario for the structure of the superdeformed bands is presented and predictions related to the exit spins are made. Small but systematic discrepancies between experiment and theory, analyzed in terms of the dynamical moments, J(2), are shown to exist. These discrepancies can be parametrized in terms of a scaling factor f, such that modifications J(1),(2)→fJ(1),(2) together with the implied scaling of the frequencies ω→f-1ω, correspond systematically better with the experimental data (f≅0.9) for both the Woods-Saxon and Hartree-Fock with Skyrme SkM* interactions. The pairing correlations taken into account by using the particle-number-projection technique are shown to increase the disagreement. Sources of these systematic discrepancies are discussed -- they are most likely related to the not yet optimal parametrization of the nuclear interactions used