Vacuum polarization in light two-electron atoms and ions

摘要

A general theory of the vacuum polarization in light atomic and muon-atomic systems is considered. We derive the closed analytical expression for the Uehling potential and evaluate corrections on vacuum polarization for the 1~1S-state of the two-electron ~3He and ~4He atoms and for some two-electron ions, including the Li~+, Be~(2+), B~(3+) and C~(4+) ions. The correction for vacuum polarization in two-electron He atoms has been evaluated as ΔE_(ueh) ≈ 7.253 ± 0.0025 × 10~(-7) a.u. The analogous corrections in the two-electron He-like ions rapidly increase with the nuclear charge Q (ΔE_(ueh) ≈ 2.7061 × 10~(-6) a.u. for the Li~+ ion and ΔE_(ueh) ≈ 2.3495 × 10~(-5) a.u. for the C~(4+) ion). The corresponding corrections have also been evaluated for the electron-nucleus and electron-electron interactions.