Nonradiative ${\alpha }^{7}m$ QED effects in Lamb shift of helium triplet states

Abstract

Theoretical predictions for the Lamb shift in helium are limited by unknown quantum electrodynamic effects of the order ${\alpha }^{7}m$, where $\alpha$ is the fine-structure constant and $m$ is the electron mass. We make an important step towards the complete calculation of these effects by deriving the most challenging part, which is induced by the virtual photon exchange between all three helium particles, the two electrons, and the nucleus. The complete calculation of the ${\alpha }^{7}m$ effect including the radiative corrections will allow comparing of the nuclear charge radii determined from the electronic and muonic helium atoms and thus provide a stringent test of the Standard Model of fundamental interactions.

35 pages, 2 figures, includes corrections from Erratum

References in corpus (5)

• Frequency metrology of helium around 1083 nm and determination of the nuclear charge radius
• Improved theory of helium fine structure
• Helium energy levels including $m{\alpha }^6$ corrections
• Higher-order recoil corrections for singlet states of the helium atom
• High-precision spectroscopy of the forbidden 2 3S1 - 2 1P1 transition in quantum degenerate metastable helium

Cited by in corpus (10)

• Complete ${\alpha }^{7}m$ Lamb shift of helium triplet states
• QED calculations of energy levels of helium-like ions with $5\le Z\le 30$
• Atomic structure calculations of helium with correlated exponential functions
• Radiative ${\mathbf{\alpha }}^7\mathbf{m}$ QED contribution to the helium Lamb shift
• The Bethe-Salpeter QED wave equation for bound-state computations of atoms and molecules
• QED calculation of ionization energies of $1snd$ states in helium
• QED $m{\alpha }^7$ effects for triplet states of helium-like ions
• Relativistic Bethe logarithm for triplet states of helium-like ions
• One-particle operator representation over two-particle basis sets for relativistic QED computations
• Proposal for suppressing ac Stark shift in the He($2{}^3{S}_1\to 3{}^3{S}_1$) two-photon transition using magic wavelengths