Computer New Simulation of the Interacting Boson Model (IBM-1) to Determine the Properties of 120-126Xe Even – Even Isotopes

A new program by MATLAB-7 has been established to identify the energy levels properties of xenon even-even isotopes through the using the interacting boson model unstable limit . The parameters of the considered limit is separately calculated, once for the ground-state band and the other for the exited-state band. Since the calculated energy of the yrast-band for the considered isotopes has showed good agreement with the experimental values. As a consequence the backbending of the energy levels for each isotopes is indicated from the calculated values of the energy levels and they were in a good agreement with the experimental values. However, the electrical transition probability has also been calculated using two methods. The first has taken into consideration the experimental half life of the transition , the transition energy between two particular sequence states and the internal conversion factor which is calculated by using an interpolation method. The results have showed good agreement with that of the experimental ones. The second method of calculation of is based on , unstable limit which in turns also showed an acceptable agreement with the experimental values. Finally, the effect of the neutrons number onto the transition probability has also been investigated.