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

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.

Analysis of the energy spectra of ground states of deformed nuclei in the rare-earth region

The 62Sm, 64Gd, 66Dy, 70Yb, 72Hf and 74W nuclei are classified as deformed nuclei. Low-lying bands are one of the most fundamental excitation modes in the energy spectra of deformed nuclei. In this paper a theoretical analysis of the experimental data within the phenomenological model is presented. The energy spectra of ground states are calculated. It is found that the low-lying spectra of ground band states are in good agreement with the experimental data.

Prediction of moment of inertia of rotating nuclei

In this study,the mathematical expression formulated by Bohr for the moment of inertia of even-even nuclei based on the hydrodynamical model is modified.The modification pertains to the kinetic energy of the surface oscillations,including the second and third terms of the R-expansion as well as the first term,which had already been modified by Bohr.Therefore,this work can be considered a continuation and support of Bohr's hydrodynamic model.The procedure yields a Bohr formula to be multiplied by a factor that depends on the deformation parameter.Bohr's(modified)formula is examined by applying it on axially symmetric even-even nuclei with atomic masses ranging between 150 and 190 as well as on some triaxial symmetry nuclei.In this paper,the modification of Bohr's formula is discussed,including information about the stability of this modification and the second and third terms of the R-expansion in Bohr's formula.The results of the calculation are compared with the experimental data and Bohr's results recorded earlier.The results obtained are in good agreement with experimental data,with a ratio of approximately 0.7,and are better than those of the unmodified ones.