Abstract

MAJEED, Fouad A.  and  OBAID, Sarah M.. Nuclear structure study of ^22,24Ne and ²⁴Mg nuclei. Rev. mex. fis. [online]. 2019, vol.65, n.2, pp.159-167.  Epub Apr 17, 2020. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.65.159.

Shell model calculations based on large basis has been conducted to study the nuclear structure of 20 Ne, 22 Ne and 24 Mg nuclei. The energy levels, inelastic electron scattering form factors and transition probabilities are discussed by considering the contribution of configurations with high-energy beyond the model space of sd-shell model space which is denoted as the core polarization effects. The Core polarization is considered by taking the excitations of nucleus from the $1s$ and $1p$ core orbits and also from the valence $2s$ $1d$ shell orbits into higher shells with $4\hslash \omega$ . The effective interactions $USDA$ and $USDB$ are employed with $sd$ shell model space to perform the calculation and the core polarization are calculated with $MSDI$ as residual interaction. The calculated energy level schemes, form factors and transition probabilities were compared with the corresponding experimental data. The effect of core polarization is found very important for the calculation of $B\left(C2\right)$ , $B\left(C4\right)$ and form factors, and gives excellent results in comparison with the experimental data without including any adjustable parameters.

Keywords : Nuclear structure; electron scattering form factors; core polarization effects; 25.30.Dh; 21.60.Cs; 27.30.+t.

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