The aim of this study is to show the concepts of nuclear shape and the geometrical picture to the even-even nuclei of 164,166,168E isotopes in the context of the Interacting boson Model IBM-1. The energy spectra were calculated and the effective charge values (eB) of the electromagnetic transition strength were obtained and used to calculate the B(E2) values of the electromagnetic transitions and the quadrupole moment Q of 2+ -states. The Hamiltonian parameters were calculated by taking in account the properties of these nuclei. Comparison were made with the available experimental data and included in tables. The geometrical picture of these nuclei were looked at by calculating the deformation which were represented by the potential energy surface E(β,γ) as a function of β and γ. The minimum potential energy Emin and the related βmin and γmin were obtained. The conclusion of this work is that the IBM-1can to describe the geometrical shapes to these isotopes, where these isotopes have prolate deformed rotor shapes
University of Baghdad
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