Abstract
Within the framework of the configuration–interaction shell model, the present work applies three effective interactions to investigate the effects of the cross-shell excitation on F and Ne isotopes around N = 20, which are significantly proton–neutron asymmetric, and have different properties compared with the proton–neutron symmetric nuclei. It is shown that cross-shell excitation is necessary in order to reproduce separation energies, neutron drip lines, and low-energy levels of these isotopes. Furthermore, the cross-shell excitation of (0–5)ħω is suggested to be important in the description of 29F and 30Ne. However, the three interactions are insufficient in describing the bound structure of 29,31Ne, and provide inconsistent shell structures and evolutions in the target nuclei. Their cross-shell interactions are suggested to be improved.
Highlights
Nuclei with neutron numbers close to 20 are of interest
Within the shell model framework, it should be noticed that pure sd- or pf -shell model space is insufficient to study F and Ne isotopes around N = 20, due to the vanishing of the N = 20 shell gap
The foremost task of the theoretical study on F and Ne isotopes around N = 20 is to reproduce and explain the location of neutron drip lines by analyzing the separation energies of one neutron (Sn ) and two neutrons (S2n )
Summary
Nuclei with neutron numbers close to 20 are of interest. According to the conventional shell model, the N = 20 shell is closed, defining the boundary between the sd shell and the pf shell [1,2]. The shell model is an essential tool for the systematic understanding of the nuclear structure It has been employed in describing light, proton-rich, exotic nuclei and the related isospin symmetry breaking [30,31,32,33], interpreting the shell evolution in the medium mass region [34,35], reproducing isomeric states in the medium [36,37] and heavy nuclei [38,39,40], and investigating the α-decay properties of heavy-mass nuclei [41,42]. The paper is organized as follows: CISM is briefly introduced, and the details of the three interactions are given; the results from the shell model calculations are shown to analyze the effects of the cross-shell excitation on the F and Ne neutron-rich isotopes; a summary is presented
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