Improved theory of helium fine structure

Abstract

Improved theoretical predictions for the fine-structure splitting of $2^3{P}_J$ levels in helium are obtained by the calculation of contributions of order ${\alpha }^{5}Ry$. New results for transition frequencies, ${\nu }_{01}=29616943.01(17)$ kHz and ${\nu }_{12}=2291161.13(30)$ kHz disagree significantly with the experimental values, indicating an outstanding problem in bound state QED.

4 pages

References in corpus (5)

• A new determination of the fine structure constant based on Bloch oscillations of ultracold atoms in a vertical optical lattic
• Nonrelativistic QED approach to the Lamb shift
• Higher-order effective Hamiltonian for light atomic systems
• Ionization Potential of the Helium Atom
• Quantum Electrodynamics of the Helium Atom

Cited by in corpus (22)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Theoretical energies of low-lying states of light helium-like ions
• Fine structure of helium-like ions and determination of the fine structure constant
• ${\alpha }^4$ Ry corrections to singlet states of helium
• Relativistic, QED, and finite nuclear mass corrections for low-lying states of Li and Be${}^{+}$
• Testing fundamental interactions on the helium atom
• Reexamination of helium fine structure
• Helium energy levels including $m{\alpha }^6$ corrections
• Prospects for precision measurements of atomic helium using direct frequency comb spectroscopy
• Ultrahigh-precision measurement of the $n=2$ triplet P fine structure of atomic helium using frequency-offset separated oscillatory fields
• Precision calculation of hyperfine structure and the Zemach radii of ${}^{6,7}$Li${}^{+}$ ions
• Emergence of simple patterns in many-body systems: from macroscopic objects to the atomic nucleus
• Relativistic corrections to the Bethe logarithm for the $2^{3}S$ and $2^{3}P$ states of He
• Atomic structure calculations of helium with correlated exponential functions
• Helium fine structure theory for determination of α
• Nonradiative ${\alpha }^{7}m$ QED effects in Lamb shift of helium triplet states
• Radiative ${\mathbf{\alpha }}^7\mathbf{m}$ QED contribution to the helium Lamb shift
• Microwave spectroscopy of the $1\mathrm{s}n\mathrm{p}{}^3{\mathrm{P}}_J$ fine structure of high Rydberg states in ${}^4$He
• Helium 2 3S - 2 1S metrology at 1557 nm
• Fine structure of helium and light helium-like ions
• Relativistic Bethe logarithm for triplet states of helium-like ions
• Detecting Extra Dimension by Helium-like Ions