Shell model calculations of the nuclear structure in the ``island of inversion'' N=20 region: Na-31,Na-33,Na-35 isotopes

Ahmed, Firas A. and Abu Kassim, Hasan and Al-Sammarraie, Anwer A. and Sharrad, Fadhil and Garba, Lurwan G. (2022) Shell model calculations of the nuclear structure in the ``island of inversion'' N=20 region: Na-31,Na-33,Na-35 isotopes. Journal of the Korean Physical Society, 80 (12). pp. 1098-1106. ISSN 0374-4884, DOI https://doi.org/10.1007/s40042-022-00466-2.

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Abstract

The unmixed intruder configurations (2p-2h) were studied for (31)'(33)'Na-35 isotopes inside the island of inversion within the SDPF-U Hamiltonian with restrictions. The proton's positions that give a good correlation energy were determined for the first time. The unmixed intruder configurations (2p-2h), in addition of the proton's positions, were found using the restriction technique. The proposed restricted configurations were applied to calculate the low-lying states and probabilities of the transitions B(E2 : 0(1)(+) -> 2(1)(+)) with effective charges e(p) = 1.3e and e(n) = 0.537e for the Na-31,Na-33,Na-35 isotopes. Moreover, the outcomes of this work compared reasonable well to the available experimental results. The good agreement between the theoretical and the experimental values, especially for the first three positive states 3/2, 5/2 and 7/2, confirmed the domination of unmixed (2p_2h) intruder configurations in the ground states for these nuclei. On the basis of this agreement, two positive states (9/2, 1/2) are suggested in this paper. Furthermore, the theoretical results showed the accuracy of SDPF-U Hamiltonian in calculations for this region (N=20).

Item Type: Article
Funders: University of Diyala
Uncontrolled Keywords: Nuclear structure; Shell model; Island of inversion and Na isotopes
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Department of Physics
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 18 Oct 2023 08:03
Last Modified: 18 Oct 2023 08:03
URI: http://eprints.um.edu.my/id/eprint/41992

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