The effect of the quantization of the centrifugal stretching on the analysis of the rotational spectra of even-even nuclei

Abu El Sheikh, Mohd Kh. M. and Okhunov, Abdurahim A. and Abu Kassim, Hasan and Leong, Yoon Tiem (2022) The effect of the quantization of the centrifugal stretching on the analysis of the rotational spectra of even-even nuclei. Sains Malaysiana, 51 (4). pp. 1213-1227. ISSN 01266039, DOI https://doi.org/10.17576/jsm-2022-5104-21.

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Abstract

An approach based on the idea that the spinning nucleus being stretched out along the symmetry axis under the influence of some of centrifugal force has been proposed. The stretching in this work is treated within the framework of quantum mechanics rather than classical mechanics which had been used by Diamond Stephens and Swiatecki. Our approach led to a new formula that describes the dependence of the moment of inertia on the angular momentum. This formula is applied for the calculation of rotational ground state bands of even-even nuclei in the atomic mass range 150 < A < 190 and that having energy ratios in the range between 2.9 <= E-4/E-2 <= 3.33. The results show an overall agreement with the experimental data up to high level energies. There are a small and systematic deviation appears at I > 12. This deviation increases with the increasing in I and also differs from one nucleus to another.

Item Type: Article
Funders: Ministry of Higher Education, Malaysia [Grant No: FRGS19-039-0647]
Uncontrolled Keywords: Bands; Energy level; Model; Properties; Rotational; Stretching
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Department of Physics
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 24 Nov 2024 13:02
Last Modified: 24 Nov 2024 13:02
URI: http://eprints.um.edu.my/id/eprint/40450

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