Shell model calculations of the nuclear structure in the ``island of inversion'' N=20 region: Na-31,Na-33,Na-35 isotopes
Document Type
Article
Publication Date
6-1-2022
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).
Keywords
Nuclear structure, Shell model, Island of inversion and Na isotopes
Divisions
PHYSICS
Funders
University of Diyala
Publication Title
Journal of the Korean Physical Society
Volume
80
Issue
12
Publisher Location
635-4, YUKSAM-DONG, KANGNAM-KU, SEOUL 135-703, SOUTH KOREA