Studying the nuclear structure of the ( 𝟔𝟔𝑫𝒚𝟗𝟔 𝟏𝟔𝟐 ) deformed nucleus by using (IBM-1) and (VAVM) Models

Abstract

In this paper, the nuclear structure of the deformed even-even 66𝐷𝑦96 162 nucleus was studied using the first interacting boson model (IBM-1) to calculate the energy levels E(L) and the transitional energy (𝐸𝛾). The energy bands, as well as the quadrupole moment (𝑄𝐿) can be calculated to know the shape of the nucleus and the moment of inertia model, energy levels E(L), transitional energy ( 𝐸𝛾) and the bands intersection. The current study showed that at dynamic symmetry SU (3), there is no effect of inertia moment on the shape of the rotational nuclei due to the absence of the phenomenon of back bending that belongs to this dynamic symmetry, through calculating the energy levels ratios found that 66𝐷𝑦96 162 nucleus belongs to the rotational dynamic symmetry SU (3). A comparison of the available practical results with the results calculated by (VAVM) and (IBM-1) showed that the (VAVM) model are better than the results calculated by (IBM-1).