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The Interacting Boson model was used to calculate the nuclear energy levels for the isotopes Dy (A= 156, 158, 166) Where, the energy levels was calculated for ground state band, βband and δ – band by using the program (IBS1. For), Its found that the proton boson and neutron bosons for the isotopes above are determined by the pairs of particles. The number of protons in all of these isotopes is in mid shell between two magic numbers (50, 82) then that’s led to all the energy levels was less than 2.5 MeV. The number of neutrons in these isotopes whenever move away from the magic number 82 the energy levels will become less, i.e. the isotopes will be less stable. By calculating the ratio of the energy states (E41 /E21 ,E61 /E21 , E81 + / E21 ). We found that these isotopes were related to the rotation symmetry Su (3). The present results give a good agreement with the experimental values.

Calculation of Nuclear Structure for the Isotopes Dy (A= 156, 158, 160) by Using the Model of IBM-1