Bohr Hamiltonian and interplay between γ-stable and γ-rigid collective motions with both Harmonic oscillation and Ring-shaped potentials for the γ-part.

Sohebi, Nahid; Eshghi, Mahdi; Hamzavi, Majid; Bigdeli, Mohsen

doi:10.22034/rpe.2020.104842

Document Type : Research Article

Authors

¹ Department of Physics, University of Zanjan, Zanjan, Iran

² Depatment of Physics, Imam Hossein Comprehensive University, Tehran, Iran

³ Department of Mathematics and Statistics, University of Texas at El Paso, El Paso, TX, USA

https://doi.org/10.22034/rpe.2020.104842

Abstract

‎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.

Highlights

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.

Keywords

20.1001.1.26456397.2020.1.4.5.4

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Radiation Physics and Engineering

Bohr Hamiltonian and interplay between γ-stable and γ-rigid collective motions with both Harmonic oscillation and Ring-shaped potentials for the γ-part.

References

References

Volume 1, Issue 4
October 2020
Pages 55-64

Bohr Hamiltonian and interplay between γ-stable and γ-rigid collective motions with both Harmonic oscillation and Ring-shaped potentials for the γ-part.

References

References

Volume 1, Issue 4October 2020Pages 55-64

Volume 1, Issue 4
October 2020
Pages 55-64