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Isotope shift for total electron binding energy of atoms

Atomic Physics 2025-07-30 v1

Abstract

We compute the isotope shifts of the \emph{total} electron binding energy of neutral atoms and singly charged ions up to element Z=120Z=120, using relativistic Hartree-Fock method including the Breit interaction. Field shift coefficients are extracted by varying the nuclear charge radius; a small quadratic term is retained to cover large radius changes relevant to superheavy nuclei. We tabulate isotope shift coefficients for closed shell systems from Ne to Og and benchmark selected open shell cases, used to test the interpolation formula. A simple power law interpolation bZkbZ^k reproduces calculated field shifts to within about 1\% across the table, with the effective exponent kk growing from roughly 5 near Z50Z \sim 50 to about 12 at Z118Z \sim 118. Due to the domination of inner shells, differences between neutrals and singly charged ions does not exceed few percent, becoming noticeable mainly when an outer ss electron is removed. Therefore, these results may also be used for higher charge ions.

Keywords

Cite

@article{arxiv.2507.21410,
  title  = {Isotope shift for total electron binding energy of atoms},
  author = {V. A. Dzuba and V. V. Flambaum},
  journal= {arXiv preprint arXiv:2507.21410},
  year   = {2025}
}

Comments

4 pages, 4 tables, no figures