Title: Study of some nuclear structure properties for some even-even isotones by using the interacting bosons model

Authors: Salar Hussein Ibrahem

Addresses: Department of Physics, College of Education for Pure Science, University of Babylon, Babel, Babylon, Iraq

Abstract: The interacting bosons model was used in this study to determine the best Hamiltonian necessary for the current calculations of the values of energy levels and the reductive electric transition probability B(E2) for the nuclei of some even-even isotones (polonium (¹⁹⁶Po), mercury (¹⁹²Hg), platinum (¹⁹⁰Pt) and osmium (¹⁸⁸Os)), which have an equal number of neutrons 112, as well as determining if there any deformation in nucleus by studying the surface potential energy using the Hamiltonian potential equations, which provides a concept of the distortion in the nucleus caused by the assembling of the contour lines in a particular location and the contour lines' deviation. The results calculated using IBM-1 model were compared with the available experimental data, and it was noted that the results are in good agreement. Branching ratios were also calculated. The importance of this lies in determining the location of the elements relative to the three determinations; rotational limits (SU (3)), γ-unstable limit (O (6)) and vibrational limit (U (5)) and the results of the current study indicated that the studied elements are located within different transitional regions. The results showed that the element ¹⁹⁶Po is located in the U(5) region, and the elements ¹⁹²Hg, ¹⁹⁰Pt and ¹⁸⁸Os are in the O(6)-SU(3) transition region, due to the different number of protons Bosons for each isotone.

Keywords: nuclear structure; energy levels; even-even; IBM-1; isotones.

DOI: 10.1504/IJNEST.2024.142748

International Journal of Nuclear Energy Science and Technology, 2024 Vol.17 No.2/3, pp.135 - 147

Received: 04 Jan 2024
Accepted: 22 May 2024
Published online: 20 Nov 2024 *

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