Quantum electrodynamic corrections to the $1s3d$ states of the helium atom

Abstract

We perform quantum electrodynamic calculations of the ionization energy of the $1s3d$ states of the ${}^4$He atom, including a complete evaluation of the $m{\alpha }^6$ correction. We find a large contribution from the nonradiative part of this correction, which has not been accounted for in previous investigations. The additional contribution shifts theoretical predictions for ionization energies by about 10$\sigma$. Despite this shift, we confirm the previously reported systematic deviations between measured experimental results and theoretical predictions for transitions involving $3D$ states. The reason for these deviations remains unknown.

References in corpus (11)

• Theoretical energies of low-lying states of light helium-like ions
• ${\alpha }^4$ Ry corrections to singlet states of helium
• Testing fundamental interactions on the helium atom
• Theory of the Lamb shift in hydrogen and light hydrogen-like ions
• Precision spectroscopy of helium in a magic wavelength optical dipole trap
• Helium energy levels including $m{\alpha }^6$ corrections
• Ultrahigh-precision measurement of the $n=2$ triplet P fine structure of atomic helium using frequency-offset separated oscillatory fields
• High-precision spectroscopy of the forbidden 2 3S1 - 2 1P1 transition in quantum degenerate metastable helium
• Relativistic corrections to the Bethe logarithm for the $2^{3}S$ and $2^{3}P$ states of He
• Helium fine structure theory for determination of α
• Precise Frequency Measurement of the 2${}^1$S${}_0$-3${}^1$D${}_2$ Two-Photon Transition in atomic ${}^4$He

Cited by in corpus (8)

• Complete ${\alpha }^{7}m$ Lamb shift of helium triplet states
• Bethe logarithm for the helium atom
• Precision calculation of hyperfine structure and the Zemach radii of ${}^{6,7}$Li${}^{+}$ ions
• Atomic structure calculations of helium with correlated exponential functions
• Variational versus perturbative relativistic energies for small and light atomic and molecular systems
• QED calculation of ionization energies of $1snd$ states in helium
• Revised ${}^3$He nuclear charge radius due to electronic hyperfine mixing
• Frequency measurements of transitions from the $2^3{P}_2$ state to the $5^1{D}_2$, $5^3{S}_1$, and $5^{3}D$ states in ultracold helium