Nature of cross-talk transitions and ΔI = 1 energy staggering in signature partners of odd mass superdeformed nuclei

Abstract

Two-way cross-talk transitions between pairs of signature partners superdeformed (SD) bands in [Formula: see text]Hg (SD2,SD3), [Formula: see text]Hg (SD3,SD4) and [Formula: see text]T1(SD1,SD2) built on the configurations [Formula: see text], respectively, are proposed. The [Formula: see text] energy staggering presented in these odd SD nuclei are investigated and parametrized by proposing two staggering functions depending on the dipole transitions linking the signature partners. These staggering functions differ from the conventional staggering functions employed in previous works which depend on the quadruple transitions within each band. For parametrization, we used the two-term formula of Bohr–Mottelson collective rotational model. The model parameters and the bandhead spins of the considered signature partners are determined by using a simulated fitting search program and the values of the adopted parameters are used to calculate transition energies [Formula: see text], rotational frequencies [Formula: see text], kinematic [Formula: see text] and dynamic [Formula: see text] moments of inertia. The calculated results agree very well with the experimental ones. The bands exhibit the usual increasing trend. Large amplitude staggering has been found in the considered three signature partner pairs in [Formula: see text]Hg and [Formula: see text]T1 nuclei.