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 (3)

• ${\alpha }^4$ Ry corrections to singlet states of helium
• Helium energy levels including $m{\alpha }^6$ corrections
• High-precision spectroscopy of the forbidden 2 3S1 - 2 1P1 transition in quantum degenerate metastable helium

Cited by in corpus (5)

• Complete ${\alpha }^{7}m$ Lamb shift of helium triplet states
• 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