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

Abstract

We have derived the complete formula for the ${\alpha }^{7}m$ contribution to energy levels of an arbitrary triplet state of the helium atom, performed numerical calculations for the $2^{3}S$ and $2^{3}P$ states, and thus improved the theoretical accuracy of ionization energies of these states by more than an order of magnitude. Using the nuclear charge radius extracted from the muonic helium Lamb shift, we obtain the theoretical prediction in excellent agreement with the measured $2^{3}S-2^{3}P$ transition energy [X.~Zheng et al., Phys. Rev. Lett. {\bf 199}, 263002 (2017)]. At the same time we observe significant discrepancies with experiments for the $2^{3}S-3^{3}D$ and $2^{3}P-3^{3}D$ transitions.

10 pages, added a few references

References in corpus (8)

• Proton-Electron Mass Ratio from Laser Spectroscopy of HD${}^{+}$ at the Part-Per-Trillion Level
• ${\alpha }^4$ Ry corrections to singlet states of helium
• Nonrelativistic QED approach to the Lamb shift
• Nuclear Charge Radii of ${}^{10,11}$B
• Higher-order recoil corrections for singlet states of the helium atom
• Radiative ${\mathbf{\alpha }}^7\mathbf{m}$ QED contribution to the helium Lamb shift
• QED calculation of ionization energies of $1snd$ states in helium
• Quantum electrodynamic corrections to the $1s3d$ states of the helium atom

Cited by in corpus (18)

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• Variational versus perturbative relativistic energies for small and light atomic and molecular systems
• Revised ${}^3$He nuclear charge radius due to electronic hyperfine mixing
• Collinear Laser Spectroscopy of $2{}^3{S}_1\to 2{}^3{P}_J$ transitions in helium-like ${}^{12}{\mathrm{C}}^{4+}$
• Higher-order QED corrections to the hyperfine splitting in ${}^3$He
• QED $m{\alpha }^7$ effects for triplet states of helium-like ions
• Revisiting the helium isotope-shift puzzle with improved uncertainties from nuclear structure corrections
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• One-particle operator representation over two-particle basis sets for relativistic QED computations
• Analysis of nonresonant effects in the two-photon spectroscopy of helium
• Splitting Isotope Shift in the $1s2p{}^3{P}_{0,1,2}$ Fine-Structure Triplet in ${}^{12,13,14}$C${}^{4+}$: Experiment and Theory
• Thermal corrections for positronium
• Double-pair Coulomb and Breit photon correction to the correlated relativistic energy