${\alpha }^4$ Ry corrections to singlet states of helium

Abstract

Corrections of order ${\alpha }^4$Ry are calculated for the singlet states $1^1{S}_0$ and $2^1{S}_0$ of the helium atom. The result for $1^1{S}_0$ state is in slight disagreement with that of Korobov and Yelkhovsky in [Phys. Rev. Lett. {\bf 87}, 193003 (2001)]. The results obtained lead to a significant improvement of transition frequencies between low lying levels of the helium atom. In particular theoretical predictions for the $2^1{S}_0-1^1{S}_0$ transition are found to be in disagreement with experimental values.

arXiv comment33 pages, 3 tables

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• Theory of Light Hydrogenlike Atoms
• Nuclear Charge Radius of Li-9, Li-11: Halo Neutron: the influence of Halo Neutrons
• Positronium S state spectrum: analytic results at O(m alpha^6)
• Nonrelativistic ionization energy for the helium ground state
• Higher-order effective Hamiltonian for light atomic systems
• Improved theory of helium fine structure
• Ionization Potential of the Helium Atom
• Quantum Electrodynamics of the Helium Atom

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