Document Type: Original Article
Department of Physics, University of Zanjan, Zanjan, Iran
Depatment of Physics, Imam Hossein Comprehensive University, Tehran, Iran
Department of Mathematics and Statistics, University of Texas at El Paso, El Paso, TX, USA
In the present work, the eigenvalue and eigenvector has been obtained by the Bohr Hamiltonian for even-even nuclei. The competition between γ-stable and γ-rigid collective motions has been created in the presence of the rigidity parameter. The β-part of the collective potential has been chosen to be equal to the generalized Hulthen potential, while the γ-angular part of the problem is associated with Ring-shaped potential around the γ=π/6 and the Harmonic oscillation around the γ=0. In both cases, the effect of rigidity and free parameters on energy spectrum of Os-180, Dy-162, Gd-160, Ru-100, Pd-114, and Xe-124 nuclei have been investigated. Also, the rates of B(E2) transition have been calculated and compared with experimental data. This model has an appropriate description of energy spectra for the mentioned nuclei.
- The eigenvalue and eigenvector were obtained by the Bohr Hamiltonian.
- The numerical calculations for the excited energy and transition rates were calculated.
- The phase transition from spherical to axially deformed nuclei were applied for Ru-100, Pd-114, and Xe-124 nuclei.
- The phase transition from prolate to oblate shapes were applied for Os-180, Dy-162, Gd-160 nuclei.