The exponential model with pairing attenuation and the nuclear softness formula have been employed to deduce the band-head spins of all the SD bands in Hg isotopes. A least-squares fitting method is performed for the γ-transition energies and the model parameters are calculated. The calculated γ-transition energies and the corresponding fitting parameters are found to depend sensitively on the established level spins. The identical band pairs in the Hg isotopes are investigated and the role of alignment is explored.
The [Formula: see text]-bands are analyzed through the variation of the energy of the [Formula: see text] excitation and the energies of excited level sequence of [Formula: see text]-bands with respect to various parameters. The shape phase transition observed at N = 88–90 is reviewed through its influence on the energies of [Formula: see text]-band. The correlation of the [Formula: see text] excitation energies with the collective shape signature observable [Formula: see text] indicates a connection with the nuclear equilibrium structure. The study of excited level sequence in the [Formula: see text]-band with respect to the ground band signifies that the two bands differ in deformation.
The rotational energy formulae viz. VMI model, ab-formula, Harris [Formula: see text] expansion, Exponential model with pairing attenuation and Nuclear softness formula are employed to the superdeformed bands of [Formula: see text] and [Formula: see text] mass regions in order to test the validity of various rotational energy formulae in describing the general nature of superdeformed bands. These formulae are used to deduce the band-head spins of the nine superdeformed bands in [Formula: see text] mass region and two superdeformed bands of [Formula: see text] mass region. The band-head spins of these superdeformed bands have been established experimentally and hence they prove to be excellent candidates to examine the adequacy of rotational energy formulae in superdeformed bands. The least-squares fitting of [Formula: see text]-transition energies is performed to calculate the model parameters such as the band-head moment of inertia, the effective pairing gap parameter and the softness parameter, and a careful analysis of these parameters is made. For the first time, we have performed a systematic study of the rotational energy formulae to establish which formula gives the best estimate of spin in [Formula: see text] mass regions.
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