Investigation of the ΔI = 2 Staggering in the Superdeformed Bands of 194Hg Nuclei

Abstract

Abstract: The bandhead spin  was determined by solving a quadratic equation based on the Harris parameters,  and  which were obtained by fitting the experimental dynamical moment of inertia  to the experimental rotational frequency . Due to its high compatibility with the gamma transition energies, the four-parameter collective rotational model of Bohr-Mottelson was employed to predict the transition energies and spins of the levels in the superdeformed (SD) bands of ¹⁹⁴Hg (b₁, b₂, b₃). The results show that the energy spectra obtained from the four-parameter collective rotational model are more accurate than those obtained previously. For the  mass region, increases with increasing . It is suggested that a discrete approximation of the fourth derivative of the energy difference as a function of angular momentum can appropriately define the staggering in the bands for ¹⁹⁴Hg (b₁, b₂, b₃) superdeformed (SD) nuclei. In ¹⁹⁴Hg (b₁, b₂, b₃) with long bands ( ), this quantity displays a well-developed staggering pattern (zigzagging behaviour with alternating signs). The interaction between two sequences is shown to account for the staggering in a reasonable way. The model energy expression reproduces successfully the staggering pattern in all considered SD bands for ¹⁹⁴Hg (b₁, b₂, b₃) up to .