Correspondence between phenomenological and IBM-1 models of even isotopes of Yb**Supported by Fundamental Research Grant Scheme (FRGS) of Ministry of Higher Education of Malaysia (FRGS13-074-0315), Islamic Development Bank (IDB) (36/11201905/35/IRQ/D31, 37/IRQ/P30)

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.