A New IBM-1 Hamiltonian Parameterization Based on Dynamical Symmetry for Even-Even Se74-78, Ru104-106 and Mo106-108
The present study investigates the dynamical symmetries of even-even Se^74-78, Ru^104-106 and Mo^106-108 isotopes within the framework of the Interacting Boson Model-1 (IBM-1). The analysis explores the three fundamental symmetry groups: SU(5) (vibrational), O(6) (gamma-soft), and SU(3) (rotationa...
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V.N. Karazin Kharkiv National University Publishing
2025-03-01
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| Series: | East European Journal of Physics |
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| Online Access: | https://periodicals.karazin.ua/eejp/article/view/25478 |
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| author | Berun N. Ghafoor |
| author_facet | Berun N. Ghafoor |
| author_sort | Berun N. Ghafoor |
| collection | DOAJ |
| description | The present study investigates the dynamical symmetries of even-even Se^74-78, Ru^104-106 and Mo^106-108 isotopes within the framework of the Interacting Boson Model-1 (IBM-1). The analysis explores the three fundamental symmetry groups: SU(5) (vibrational), O(6) (gamma-soft), and SU(3) (rotational). Energy levels were calculated using newly optimized Hamiltonian parameterizations based on the U(6) unitary group structure in six dimensions, and the results were compared with experimental data, demonstrating excellent agreement. A key finding of this study is that for each nucleus, the predominant Hamiltonian parameter can be selectively adjusted to achieve an optimal theoretical-experimental match, particularly in relation to the E4/E2 energy ratio. This approach provides a systematic and efficient method for refining Hamiltonian parameterization, offering a standardized technique to enhance the accuracy of nuclear structure studies. The findings contribute to a deeper understanding of nuclear collective motion and may serve as a foundation for further advancements in theoretical nuclear physics. |
| format | Article |
| id | doaj-art-d9efa0ce49444907a092580d07fc7742 |
| institution | Kabale University |
| issn | 2312-4334 2312-4539 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | V.N. Karazin Kharkiv National University Publishing |
| record_format | Article |
| series | East European Journal of Physics |
| spelling | doaj-art-d9efa0ce49444907a092580d07fc77422025-08-20T03:41:12ZengV.N. Karazin Kharkiv National University PublishingEast European Journal of Physics2312-43342312-45392025-03-012434810.26565/2312-4334-2025-2-0525478A New IBM-1 Hamiltonian Parameterization Based on Dynamical Symmetry for Even-Even Se74-78, Ru104-106 and Mo106-108Berun N. Ghafoor0Univeristy of SulaimaniThe present study investigates the dynamical symmetries of even-even Se^74-78, Ru^104-106 and Mo^106-108 isotopes within the framework of the Interacting Boson Model-1 (IBM-1). The analysis explores the three fundamental symmetry groups: SU(5) (vibrational), O(6) (gamma-soft), and SU(3) (rotational). Energy levels were calculated using newly optimized Hamiltonian parameterizations based on the U(6) unitary group structure in six dimensions, and the results were compared with experimental data, demonstrating excellent agreement. A key finding of this study is that for each nucleus, the predominant Hamiltonian parameter can be selectively adjusted to achieve an optimal theoretical-experimental match, particularly in relation to the E4/E2 energy ratio. This approach provides a systematic and efficient method for refining Hamiltonian parameterization, offering a standardized technique to enhance the accuracy of nuclear structure studies. The findings contribute to a deeper understanding of nuclear collective motion and may serve as a foundation for further advancements in theoretical nuclear physics.https://periodicals.karazin.ua/eejp/article/view/25478ibm-1, dynamical symmetry, hamiltonian parameterization, energy levels, se-isotopes, ru-isotopes, mo-isotopes |
| spellingShingle | Berun N. Ghafoor A New IBM-1 Hamiltonian Parameterization Based on Dynamical Symmetry for Even-Even Se74-78, Ru104-106 and Mo106-108 East European Journal of Physics ibm-1, dynamical symmetry, hamiltonian parameterization, energy levels, se-isotopes, ru-isotopes, mo-isotopes |
| title | A New IBM-1 Hamiltonian Parameterization Based on Dynamical Symmetry for Even-Even Se74-78, Ru104-106 and Mo106-108 |
| title_full | A New IBM-1 Hamiltonian Parameterization Based on Dynamical Symmetry for Even-Even Se74-78, Ru104-106 and Mo106-108 |
| title_fullStr | A New IBM-1 Hamiltonian Parameterization Based on Dynamical Symmetry for Even-Even Se74-78, Ru104-106 and Mo106-108 |
| title_full_unstemmed | A New IBM-1 Hamiltonian Parameterization Based on Dynamical Symmetry for Even-Even Se74-78, Ru104-106 and Mo106-108 |
| title_short | A New IBM-1 Hamiltonian Parameterization Based on Dynamical Symmetry for Even-Even Se74-78, Ru104-106 and Mo106-108 |
| title_sort | new ibm 1 hamiltonian parameterization based on dynamical symmetry for even even se74 78 ru104 106 and mo106 108 |
| topic | ibm-1, dynamical symmetry, hamiltonian parameterization, energy levels, se-isotopes, ru-isotopes, mo-isotopes |
| url | https://periodicals.karazin.ua/eejp/article/view/25478 |
| work_keys_str_mv | AT berunnghafoor anewibm1hamiltonianparameterizationbasedondynamicalsymmetryforevenevense7478ru104106andmo106108 AT berunnghafoor newibm1hamiltonianparameterizationbasedondynamicalsymmetryforevenevense7478ru104106andmo106108 |