Rotational spectra of even–even actinide and rare-earth nuclei

—The new equation derived in the previous paper within the framework of the hydrodynamical model and on the basis that the stretching is quantized is used to produce the energy states in the ground state bands for nuclei in the actinide region and in beta bands for some nuclei selected randomly. The formula showed excellent agreement with experiments. The energy spectra of ground and beta state bands has been calculated of even–even nuclei with mass range 150 < A < 190 and 228 < A < 246 respectively. This success of our approach emphasizes that the only factor that affects the behavior of the nucleus within the mentioned ranges is the stretching

Rotational spectra of even-even actinide and rare-earth nuclei

The new equation derived in the previous paper within the framework of the hydrodynamical model and on the basis that the stretching is quantized is used to produce the energy states in the ground state bands for nuclei in the actinide region and in beta bands for some nuclei selected randomly. The formula showed excellent agreement with experiments. The energy spectra of ground and beta state bands has been calculated of even–even nuclei with mass range 150 < A < 190 and 228 < A < 246 respectively. This success of our approach emphasizes that the only factor that affects the behavior of the nucleus within the mentioned ranges is the stretching

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 is stretched out along the symmetry axis under the influence of some of the 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 eve–even nuclei in the atomic mass range and that have energy ratios in the range between . The results show an overall agreement with the experimental data up to high level energies. There are a small and systematic deviation appears at . This deviation increases with the increasing in and also differs from one nucleus to another