Correspondence between phenomenological and IBM-1 models of even isotopes of Yb

Abstract: Energy levels and the reduced probability of E2-- transitions for ytterbium isotopes with proton number Z=70 and neutron numbers between 100 and 106 have been calculated through phenomenological (PhM) and interacting boson (IBM-1) models. The predicted low-lying levels (energies, spins and parities) and the reduced probability for E2-- transitions results are reasonably consistent with the available experimental data. The predicted low-lying levels (gr--, β₁-- and γ₁-- band) produced in the PhM are in good agreement with the experimental data compared with those by IBM-1 for all nuclei of interest. In addition, the phenomenological model was successful in predicting the β₂--, β₃--, β₄--, γ₂-- and 1⁺-- band while it was a failure with IBM-1. Also, the 3⁺-- band is predicted by the IBM-1 model for ¹⁷²Yb and ¹⁷⁴Yb nuclei. All calculations are compared with the available experimental data.