TY - JOUR

T1 - Hydrogen and hydrogenlike-ion bound states and hyperfine splittings

T2 - Finite-nuclear-size effects

AU - Kuzmenko, Igor

AU - Kuzmenko, Tetyana

AU - Avishai, Y.

AU - Band, Y. B.

N1 - Publisher Copyright:
© 2023 American Physical Society.

PY - 2023/11/1

Y1 - 2023/11/1

N2 - Using the Dirac equation, we study corrections to electron binding energies and hyperfine splittings of atomic hydrogen and hydrogenlike ions due to finite-nuclear-size (FNS) effects, relativistic QED radiative corrections, and nuclear recoil corrections. Three models for the charge distribution and the magnetic moment distribution within the nucleus are considered. Calculations are carried for light atoms (H, He, and K) and heavy atoms (Rb, Cs, Pb, Bi, U). The FNS corrections to the ground-state energy are shown to be smaller than the electron-nucleus reduced mass corrections, and comparable to the relativistic QED radiative corrections for the light nuclei, but much larger than both these corrections for heavy nuclei. Comparison is made with an experiment on the 1s-2s transition frequency for hydrogen. FNS corrections to the ground-state hyperfine splitting are comparable in size to the relativistic QED radiative corrections for light nuclei, but are larger for heavy nuclei.

AB - Using the Dirac equation, we study corrections to electron binding energies and hyperfine splittings of atomic hydrogen and hydrogenlike ions due to finite-nuclear-size (FNS) effects, relativistic QED radiative corrections, and nuclear recoil corrections. Three models for the charge distribution and the magnetic moment distribution within the nucleus are considered. Calculations are carried for light atoms (H, He, and K) and heavy atoms (Rb, Cs, Pb, Bi, U). The FNS corrections to the ground-state energy are shown to be smaller than the electron-nucleus reduced mass corrections, and comparable to the relativistic QED radiative corrections for the light nuclei, but much larger than both these corrections for heavy nuclei. Comparison is made with an experiment on the 1s-2s transition frequency for hydrogen. FNS corrections to the ground-state hyperfine splitting are comparable in size to the relativistic QED radiative corrections for light nuclei, but are larger for heavy nuclei.

UR - http://www.scopus.com/inward/record.url?scp=85176138816&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.108.052804

DO - 10.1103/PhysRevA.108.052804

M3 - Article

AN - SCOPUS:85176138816

SN - 2469-9926

VL - 108

JO - Physical Review A

JF - Physical Review A

IS - 5

M1 - 052804

ER -