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

The effect of the quantization of the centrifugal stretching on the analysis of the rotational spectra of even-even nuclei

An approach based on the idea that the spinning nucleus being stretched out along the symmetry axis under the influence of some of centrifugal force has been proposed. The stretching in this work is treated within the framework of quantum mechanics rather than classical mechanics which had been used by Diamond Stephens and Swiatecki. Our approach led to a new formula that describes the dependence of the moment of inertia on the angular momentum. This formula is applied for the calculation of rotational ground state bands of even-even nuclei in the atomic mass range 150 12 . This deviation increases with the increasing in I and also differs from one nucleus to another

Electric Quadrupole E2- Transitions of 170-174 Yb Isotopes

The non-adiabatic effects which is manifested in the electric properties of low-lying states of even-even deformed nuclei are studied. A simple phenomenological model which takes into account the Coriolis mixing of Kπ = 0+ n , 2+ n and Kπ = 1+ ν state bands. The Calculations for isotopes 170−174Y b, are carried out. The reduced probability of electric quadrupole transitions from the states 0+ ν and 2+ ν - bands to the ground (gr) state band is calculated and non adiabatic effect is discussed. The ratio of E2– transitions RIK from 0+ 2 , 0+ 3 , 2+ 1 , and 2+ 2 bands are calculated and compared with the experimental dat