Describe of Nuclear Structure for Germanium (_32^66)Ge_34) Nucleus under frame (IBM-1, GVMI and VMI) Models

In this paper, the interacting bosons model-1 (IBM-1), a variable moment of inertia (VMI) and generalized moment of inertia (GVMI) models were used to calculate the energy levels of the positive parity and its gamma transitions as a function of the angular momentum of even-even (_32^66Ge_34) nucleu...

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Main Authors: Imad A. Hamdi, Ali K. Aobaid
Format: Article
Language:English
Published: V.N. Karazin Kharkiv National University Publishing 2023-06-01
Series:East European Journal of Physics
Subjects:
Online Access:https://periodicals.karazin.ua/eejp/article/view/21395
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author Imad A. Hamdi
Ali K. Aobaid
author_facet Imad A. Hamdi
Ali K. Aobaid
author_sort Imad A. Hamdi
collection DOAJ
description In this paper, the interacting bosons model-1 (IBM-1), a variable moment of inertia (VMI) and generalized moment of inertia (GVMI) models were used to calculate the energy levels of the positive parity and its gamma transitions as a function of the angular momentum of even-even (_32^66Ge_34) nucleus. To determine the dynamic symmetry of this nucleus, the ratios of the energy levels (E_4^+)⁄(E_2^+ ), (E_6^+)⁄(E_2^+), and (E_8^+)⁄(E_2^+) were evaluated and compared with experimental energy values and the ideal scheme of the three dynamic symmetries SU(5), SU(3), and O(6). The current study showed that the dynamic symmetry of this nucleus is determined to be O(6) - SU(5). The intersection of the energy band and the phenomenon of back bending were also studied using the (VMI) and (GVMI) models. These consequences were compared with the experimental results, and the results obtained have been in good agreement.
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spelling doaj.art-bd6bf310fe5c4e518e6bb39e2716818f2023-06-02T13:31:44ZengV.N. Karazin Kharkiv National University PublishingEast European Journal of Physics2312-43342312-45392023-06-01210.26565/2312-4334-2023-2-06Describe of Nuclear Structure for Germanium (_32^66)Ge_34) Nucleus under frame (IBM-1, GVMI and VMI) Models Imad A. Hamdi0Ali K. Aobaid1Department of Physics, Faculty of Education for Pure Science, University OF Anbar, Anbar, IraqDepartment of Physics, Faculty of Education for Pure Science, University of Anbar, Anbar, Iraq In this paper, the interacting bosons model-1 (IBM-1), a variable moment of inertia (VMI) and generalized moment of inertia (GVMI) models were used to calculate the energy levels of the positive parity and its gamma transitions as a function of the angular momentum of even-even (_32^66Ge_34) nucleus. To determine the dynamic symmetry of this nucleus, the ratios of the energy levels (E_4^+)⁄(E_2^+ ), (E_6^+)⁄(E_2^+), and (E_8^+)⁄(E_2^+) were evaluated and compared with experimental energy values and the ideal scheme of the three dynamic symmetries SU(5), SU(3), and O(6). The current study showed that the dynamic symmetry of this nucleus is determined to be O(6) - SU(5). The intersection of the energy band and the phenomenon of back bending were also studied using the (VMI) and (GVMI) models. These consequences were compared with the experimental results, and the results obtained have been in good agreement. https://periodicals.karazin.ua/eejp/article/view/21395Nuclear structure(_32^66Ge_34)(IBM-1, GVMI and VMI) Models
spellingShingle Imad A. Hamdi
Ali K. Aobaid
Describe of Nuclear Structure for Germanium (_32^66)Ge_34) Nucleus under frame (IBM-1, GVMI and VMI) Models
East European Journal of Physics
Nuclear structure
(_32^66Ge_34)
(IBM-1, GVMI and VMI) Models
title Describe of Nuclear Structure for Germanium (_32^66)Ge_34) Nucleus under frame (IBM-1, GVMI and VMI) Models
title_full Describe of Nuclear Structure for Germanium (_32^66)Ge_34) Nucleus under frame (IBM-1, GVMI and VMI) Models
title_fullStr Describe of Nuclear Structure for Germanium (_32^66)Ge_34) Nucleus under frame (IBM-1, GVMI and VMI) Models
title_full_unstemmed Describe of Nuclear Structure for Germanium (_32^66)Ge_34) Nucleus under frame (IBM-1, GVMI and VMI) Models
title_short Describe of Nuclear Structure for Germanium (_32^66)Ge_34) Nucleus under frame (IBM-1, GVMI and VMI) Models
title_sort describe of nuclear structure for germanium 32 66 ge 34 nucleus under frame ibm 1 gvmi and vmi models
topic Nuclear structure
(_32^66Ge_34)
(IBM-1, GVMI and VMI) Models
url https://periodicals.karazin.ua/eejp/article/view/21395
work_keys_str_mv AT imadahamdi describeofnuclearstructureforgermanium3266ge34nucleusunderframeibm1gvmiandvmimodels
AT alikaobaid describeofnuclearstructureforgermanium3266ge34nucleusunderframeibm1gvmiandvmimodels