Helium energy levels including $m{\alpha }^6$ corrections

Abstract

The $m{\alpha }^6$ correction to energy is expressed in terms of an effective Hamiltonian $H^{(6)}$ for an arbitrary state of helium. Numerical calculations are performed for $n=2$ levels, and the previous result for the $2^{3}P$ centroid is corrected. While the resulting theoretical predictions for the ionization energy are in moderate agreement with experimental values for $2^3{S}_1$, $2^{3}P$, and $2^1{S}_0$ states, they are in significant disagreement for the singlet state $2^1{P}_1$.

11 pages, with erratum submitted to Phys. Rev. A (2007)

References in corpus (10)

• Theory of Light Hydrogenlike Atoms
• Two-time Green function method in quantum electrodynamics of high-Z few-electron atoms
• Nonrelativistic ionization energy for the helium ground state
• ${\alpha }^4$ Ry corrections to singlet states of helium
• Higher-order effective Hamiltonian for light atomic systems
• QED corrections to the parity-nonconserving 6s-7s amplitude in ${}^{133}$Cs
• Improved theory of helium fine structure
• Ionization Potential of the Helium Atom
• Quantum Electrodynamics of the Helium Atom
• Helium 2 3S - 2 1S metrology at 1557 nm

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