Theoretical Description of even- even Platinum Pt-186 nucleus using IBM and (VMI) Models

The aim of this study, is to investigate, in a phenomenological way, the backbending effect in platinum Pt-186 nucleus, in order to get a good description of the bends by using new parameters. VMI model and interacting boson model IBM-1 have been used to perform this research for a heavy mass nucleus (Z = 78). Energy ratios and arrangement of the bands show that the platinum Pt-186 have O(6)-SU(3) dynamical symmetry. Our current calculations gave results that are reasonably consistent with the most recent experimental data, especially the results calculated according to the VMI-model. Variable moment of inertia has been applied to describe successfully the effect of backbending in deformed even-even Pt-186 nucleus. Backbending was observed in the ground and β-bands, due to the change of the moment of inertia but not for (γ1, γ2 bands, because no changing in the moment of inertia

Calculation of the nuclear properties of Erbium 98 166 68Er nucleus by using IBM-1 and VMI model

The aim of the present work is to study some nuclear features of Erbium ( 98 166 68 Er ) such as energy levels E(J), energy transition Eγ, band crossing, and back bending phenomena in the mass region(A=166,and total number of bosons N=15)of the dynamical symmetry SU(3)-O(6) using interacting boson model version-1(IBM-1) and a variable moment of inertia model(VMI) In this study, we determined the most appropriate Hamiltonian that is needed for the present calculations of deformed understudy nucleus; these calculations have been estimated by best-fitting to the measured energies level. The IBM-1 results have been compared with the previous experimental and theoretical (VMImodel) data and it was observed that they are agreed in the most of the states. The predictions from the VMI model are more accurate than those of the IBM-

Describe of Nuclear Structure for Germanium (_32^66)Ge_34) Nucleus under frame (IBM-1, GVMI and VMI) Models

In this paper, the interacting bosons model-1 (IBM-1), a variable moment of inertia (VMI) and generalized moment of inertia (GVMI) models were used to calculate the energy levels of the positive parity and its gamma transitions as a function of the angular momentum of even-even (_32^66Ge_34) nucleus. To determine the dynamic symmetry of this nucleus, the ratios of the energy levels (E_4^+)⁄(E_2^+ ), (E_6^+)⁄(E_2^+), and (E_8^+)⁄(E_2^+) were evaluated and compared with experimental energy values and the ideal scheme of the three dynamic symmetries SU(5), SU(3), and O(6). The current study showed that the dynamic symmetry of this nucleus is determined to be O(6) - SU(5). The intersection of the energy band and the phenomenon of back bending were also studied using the (VMI) and (GVMI) models. These consequences were compared with the experimental results, and the results obtained have been in good agreement