$α^4$ Ry corrections to singlet states of helium

Details $α^4$ Ry corrections to singlet states of helium $α^4$ Ry corrections to singlet states of helium

2006-07-07

arxiv.org/abs/physics/0607070v1

Physics

Atomic Physics

33 pages, 3 tables

Scientific paper

10.1103/PhysRevA.74.022512

Corrections of order $\alpha^4$Ry are calculated for the singlet states $1^1S_0$ and $2^1S_0$ of the helium atom. The result for $1^1S_0$ 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 $2^1S_0 - 1^1S_0$ transition are found to be in disagreement with experimental values.

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