Search for mixed-symmetry state in even-even $^{130-138}$Ce isotopes within the interacting boson model-2

Authors: ALI MAHDI ABDUL HUSSAIN, FALIH HUSSAIN AL-KHUDAIR, ABDUL RIDHA HUSSAIN SUBBER

Abstract: The energy levels and reduced transition probabilities B(M1) and B(E2) of the even-even $^{130-138}$Ce isotopes were calculated by using the interacting boson model-2. We have analyzed the F-spin values and produced the symmetry labeling of the states. The calculated results were compared with the available experimental data. It was proved that the proton--neutron interacting boson model is a reasonable model for calculating low-lying spectra in the set of Ce isotopes and the quality of fit presented in this work is acceptable.

Keywords: Ce isotopes, interacting boson model-2, mixed symmetry states, B(E2), B(M1)

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