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

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...

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Main Authors: Mohd Kh. M. Abu El Sheikh, Okhunov, Abdurahim A., Hasan Abu Kassim, Leong, Yoon Tiem
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2022
Online Access:http://journalarticle.ukm.my/19283/
http://journalarticle.ukm.my/19283/1/21.pdf
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author Mohd Kh. M. Abu El Sheikh,
Okhunov, Abdurahim A.
Hasan Abu Kassim,
Leong, Yoon Tiem
author_facet Mohd Kh. M. Abu El Sheikh,
Okhunov, Abdurahim A.
Hasan Abu Kassim,
Leong, Yoon Tiem
author_sort Mohd Kh. M. Abu El Sheikh,
building UKM Institutional Repository
collection Online Access
description 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 < E4 / E2 < 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.
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spelling oai:generic.eprints.org:192832022-08-08T06:46:17Z http://journalarticle.ukm.my/19283/ The effect of the quantization of the centrifugal stretching on the analysis of the rotational spectra of even-even nuclei Mohd Kh. M. Abu El Sheikh, Okhunov, Abdurahim A. Hasan Abu Kassim, Leong, Yoon Tiem 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 < E4 / E2 < 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. Penerbit Universiti Kebangsaan Malaysia 2022-04 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/19283/1/21.pdf Mohd Kh. M. Abu El Sheikh, and Okhunov, Abdurahim A. and Hasan Abu Kassim, 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 0126-6039 https://www.ukm.my/jsm/malay_journals/jilid51bil4_2022/KandunganJilid51Bil4_2022.html
spellingShingle Mohd Kh. M. Abu El Sheikh,
Okhunov, Abdurahim A.
Hasan Abu Kassim,
Leong, Yoon Tiem
The effect of the quantization of the centrifugal stretching on the analysis of the rotational spectra of even-even nuclei
title The effect of the quantization of the centrifugal stretching on the analysis of the rotational spectra of even-even nuclei
title_full The effect of the quantization of the centrifugal stretching on the analysis of the rotational spectra of even-even nuclei
title_fullStr The effect of the quantization of the centrifugal stretching on the analysis of the rotational spectra of even-even nuclei
title_full_unstemmed The effect of the quantization of the centrifugal stretching on the analysis of the rotational spectra of even-even nuclei
title_short The effect of the quantization of the centrifugal stretching on the analysis of the rotational spectra of even-even nuclei
title_sort effect of the quantization of the centrifugal stretching on the analysis of the rotational spectra of even-even nuclei
url http://journalarticle.ukm.my/19283/
http://journalarticle.ukm.my/19283/
http://journalarticle.ukm.my/19283/1/21.pdf