Solution of Bohr Hamiltonian in the Z(5) critical point by using Morse potential for 190Hg nucleus
In this paper, the Hamiltonian of Bohr-Mottelson model was solved to determine the energy levels and also energy surfaces of 190Hg nucleus in the Z(5) critical point. The Morse and Harmonic oscillator potentials are used for radial and angular parts of Hamiltonian, respectively. The asymptotic itera...
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| Format: | Article |
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Nuclear Science and Technology Research Institute
2022-06-01
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| Series: | مجله علوم و فنون هستهای |
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| Online Access: | https://jonsat.nstri.ir/article_1384_05c0c89cbe65c96f89c71ed3300d1eda.pdf |
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| author | M. Seidi H. Sabri R. Gholami |
| author_facet | M. Seidi H. Sabri R. Gholami |
| author_sort | M. Seidi |
| collection | DOAJ |
| description | In this paper, the Hamiltonian of Bohr-Mottelson model was solved to determine the energy levels and also energy surfaces of 190Hg nucleus in the Z(5) critical point. The Morse and Harmonic oscillator potentials are used for radial and angular parts of Hamiltonian, respectively. The asymptotic iteration method is used to solve radial equation and the constants of model are extracted in comparison with experimental data. The results are compared with the predictions of previous studies which solved Bohr-Hamiltonian in this critical point with using infinite well potential for radial part and also the predictions of O(6) dynamical limit of interacting boson model. Significant improvements are yield with using Morse potential in determination of energy levels of excited energy bands. Also, the results of this potential show more corresponding with the predictions of O(6) dynamical model. |
| first_indexed | 2024-04-09T14:53:04Z |
| format | Article |
| id | doaj.art-51160a61f6e74cc891d69472d899bafa |
| institution | Directory Open Access Journal |
| issn | 1735-1871 2676-5861 |
| language | fas |
| last_indexed | 2025-03-21T21:36:41Z |
| publishDate | 2022-06-01 |
| publisher | Nuclear Science and Technology Research Institute |
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| series | مجله علوم و فنون هستهای |
| spelling | doaj.art-51160a61f6e74cc891d69472d899bafa2024-05-27T12:54:12ZfasNuclear Science and Technology Research Instituteمجله علوم و فنون هستهای1735-18712676-58612022-06-01432617010.24200/nst.2022.13841384Solution of Bohr Hamiltonian in the Z(5) critical point by using Morse potential for 190Hg nucleusM. Seidi0H. Sabri1R. Gholami2Department of Physics, Ilam University, P.O.Box: 69315-516, Ilam - IranDepartment of Physics, University of Tabriz, P.O.Box: 51664, Tabriz - IranDepartment of Physics, Ilam University, P.O.Box: 69315-516, Ilam - IranIn this paper, the Hamiltonian of Bohr-Mottelson model was solved to determine the energy levels and also energy surfaces of 190Hg nucleus in the Z(5) critical point. The Morse and Harmonic oscillator potentials are used for radial and angular parts of Hamiltonian, respectively. The asymptotic iteration method is used to solve radial equation and the constants of model are extracted in comparison with experimental data. The results are compared with the predictions of previous studies which solved Bohr-Hamiltonian in this critical point with using infinite well potential for radial part and also the predictions of O(6) dynamical limit of interacting boson model. Significant improvements are yield with using Morse potential in determination of energy levels of excited energy bands. Also, the results of this potential show more corresponding with the predictions of O(6) dynamical model.https://jonsat.nstri.ir/article_1384_05c0c89cbe65c96f89c71ed3300d1eda.pdfbohr-mottelson modelshape- phase transitioncritical pointenergy levelselectric quadrupole transition ratesmorse potentialbands of energy |
| spellingShingle | M. Seidi H. Sabri R. Gholami Solution of Bohr Hamiltonian in the Z(5) critical point by using Morse potential for 190Hg nucleus مجله علوم و فنون هستهای bohr-mottelson model shape- phase transition critical point energy levels electric quadrupole transition rates morse potential bands of energy |
| title | Solution of Bohr Hamiltonian in the Z(5) critical point by using Morse potential for 190Hg nucleus |
| title_full | Solution of Bohr Hamiltonian in the Z(5) critical point by using Morse potential for 190Hg nucleus |
| title_fullStr | Solution of Bohr Hamiltonian in the Z(5) critical point by using Morse potential for 190Hg nucleus |
| title_full_unstemmed | Solution of Bohr Hamiltonian in the Z(5) critical point by using Morse potential for 190Hg nucleus |
| title_short | Solution of Bohr Hamiltonian in the Z(5) critical point by using Morse potential for 190Hg nucleus |
| title_sort | solution of bohr hamiltonian in the z 5 critical point by using morse potential for 190hg nucleus |
| topic | bohr-mottelson model shape- phase transition critical point energy levels electric quadrupole transition rates morse potential bands of energy |
| url | https://jonsat.nstri.ir/article_1384_05c0c89cbe65c96f89c71ed3300d1eda.pdf |
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