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Research on the exotic properties of nuclei from the light to medium mass region

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Abstract

The relativistic point-coupling model combined with complex momentum representation method (RMFPC-CMR method) is used to investigate the exotic phenomena in the neutron-rich Si, S, Ar, Ti, Cr, and Fe isotopes. The calculated two-neutron separation energies are compared with the relativistic Hartree–Bogoliubov calculations as well as the available experimental data. It is found that the new magic number \(N=34\) appears in Si and S isotopes and the traditional magic numbers \(N=28\) (in Si isotopes) and 50 (in Si, S, Ar, and Ti isotopes) disappear. In addition, the calculated single-particle energies and occupation probabilities of the bound and resonant states support the results and indicate that a neutron halo may occur on the neutron-rich side of Ti, Cr, and Fe isotopes. We also calculate the density distributions of neutrons and protons, and the ratios of the densities of the single-particle levels to the total neutron density. The results show that \(^{76-80}\)Ti (\(N=54-58\)), \(^{76-82}\)Cr (\(N=52-58\)), and \(^{80-84}\)Fe (\(N=54-58\)) isotopes are possible halo nuclei, while Si, S, and Ar isotopes prefer to neutron skin. The prediction on the structure of halo and skin in the neutron-rich Si, S, Ar, Ti, Cr, and Fe isotopes are of referential value for experiment.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: The datasets generated or analyzed during the current studies are available from the corresponding author on reasonable request. The data are not publicly available due to privacy or ethical restrictions.]

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Acknowledgements

The authors are indebted to Zhong-Ming Niu for constructive guidance and valuable suggestions. This work was partly supported by the National Natural Science Foundation of China under Grants No. 11935001 and No. 11575002 the Open fund for Discipline Construction, Institute of Management Science and Engineering, Anhui University of Finance and Economics.

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Authors and Affiliations

  1. School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu, 233030, China

    Xue-Neng Cao, Ming Fu & Xian-Xian Zhou

  2. School of Physics and Optoelectronics Engineering, Anhui University, Hefei, 230601, China

    Tai-Hua Heng & Jian-You Guo

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  1. Xue-Neng Cao
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Cao, XN., Fu, M., Zhou, XX. et al. Research on the exotic properties of nuclei from the light to medium mass region. Eur. Phys. J. Plus 137, 906 (2022). https://doi.org/10.1140/epjp/s13360-022-03128-1

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