Resumen de Shell Model calculations of nuclear structure in ʺIsland of inversionʺ N=20 region: 32-36Mg isotopes

H. Abu Kassim, F.A. Ahmed, A. A. Al-Sammarrae, F.I. Sharrad, L.G. Garba

• The intruder configurations (1p-1h), (2p-2h) and (3p-3h) were studied in this work for the island of inversion within the SDPF-U Hamiltonian. The effect of the proton locations on the structure (energies and transition probabilities) for even-even and even-odd magnesium (N=20-24) isotopes is studied. The unmixed intruder configurations (1p-1h), (2p-2h) and (3p-3h) in addition to the protons positions are created by restriction method. 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) = 1.32 and e_(n) = 0.421 for the ^(32,34,36)Mg isotopes and comparing to the results of available experimental works. The good agreement between the theoretical and experimental values confirmed the existence of the intruder configurations in these nuclei. The theoretical results showed a suitable SDPF-U Hamiltonian in the calculations for the structure of the nuclei in this region. The SDPF-U results confirmed many energy states and other suggested J values.