Isotope shift for total electron binding energy of atoms
Phys. Rev. A 112, 032813 – Published 24 September, 2025
DOI: https://doi.org/10.1103/r1x5-1yjg
Abstract
We compute the isotope shifts of the total electron binding energy of neutral atoms and singly charged ions up to element , using the 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 reproduces calculated field shifts to within about 1% across the table, with the effective exponent growing from roughly 5 near to about 12 at . Due to the domination of inner shells, differences between neutrals and singly charged ions does not exceed a few percent, becoming noticeable mainly when an outer electron is removed. Therefore, these results may also be used for higher charge ions.