Description of the yrast superdeformed bands in even-even nuclei in A $\sim$ 190 region using the nuclear softness model

Abstract

MeV. Our analysis also leads to the appearance of ∆ I = 2 staggering effect in 194 Hg (SD1). A comment on equilibrium deformation for each nucleus is also given.

Investigation of Energy Staggering, Identical Transition Energies and Shape Behaviors in Rotational Bands of Actinide Nuclei by Using Softness Model

“…If we use ∆ I = 2, then (21) If the moment of inertia does not change very rapidly with I, we obtain (22) That is, the dynamical moment of inertia can be extracted from the energy difference between two consecutive transitions in the band.…”

“…One striking and unexpected feature happen in superdeformed rotational bands is the identical bands ( IB's) [14] in which nuclei have almost identical energies within ~ 2 KeV and therefore they requires that the moments of inertia in the two bands be identical. Many theoretical explanations were proposed [15][16][17][18][19][20][21][22] to interpret the existence of IB's but a satisfactory explanation is still lacking. Also the IB'S were seen in the ground state bands in normal deformed nuclei [23] and a number of IB's were observed at both low and high spins in different mass regions [24][25][26].…”

Macroscopic investigation of rotations for some deformed even–even nuclei

“…The energy levels of ground state bands in even-even nuclei are correlating theoretical models (semi-empirical and semi-classical) (Providencia & Urbano, 1972) due to the large information of experimental data available. Specifically, the VMI and NS models are most relevant and significant in studying the nuclear structures (Bonatsos & Klein, 1984;Khalafi, elmageed, & Sirag, 2015). Mariscotti et al (Ahmed, Abdullah, Ahmed, & Hossain, 2012) extracted two parameters with two the following conditions: (I) deformation parameter is proportional to the VMI and (II) the potential energy is assumed to be harmonic type.…”

Properties of signature partner superdeformed bands in mercury nuclei

“…For most SD bands, the spins have not been determined and only dynamical moment of inertia can be extracted from experimental transition energies. Fortunately, because of the regular behavior of transition energies, their spins have been consistently and reliably predicated by various approaches [8][9][10][11][12][13][14][15][16][17][18][19]. Moreover, the spins of some SD bands have been established experimentally [20].…”

“…Thus, the SD band can be viewed as two sequences of states in which spins differing by 4ℏ from level to level and a small energy displacement occur between the two states. Several theoretical proposal for the possible explanation of this ΔI = 2 staggering phenomenon wear made [16,28,[31][32][33][34][35].…”