The potential energy surface (PES), reduced transition strength B(E2), and three types of bands (g-band, γ-band, and β-band) were computed for the 182Hg and 184Hg nuclei employing the IBM-1 and IBM-2 models. The computed energy levels of these nuclei exhibit certain points of agreement with the data that were previously measured. An examination of experimental data reveals that the precision of the calculations performed by IBM-1 is preferable to that of IBM-2, specifically with regard to low energy levels of ground and γ-states. On the contrary, IBM-2 calculations depict the higher states of ground and other states in comparison to IBM-1. The strengths of quadruple electromagnetic transitions in these nuclei were established by the IBM-1 and IBM-2 models and compared with prior measured data. The experimental value of B(E2) is reproduced by IBM-2 more accurately than IBM-1. IBM-1 is used to analyze the potential energy surfaces (PES) of 182,184Hg nuclei, which exhibit SU(3)-O(6) dynamical symmetry.
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