Helium energy levels including $m α^6$ corrections

Details Helium energy levels including $m α^6$ corrections Helium energy levels including $m α^6$ corrections

2006-10-17

arxiv.org/abs/physics/0610122v3

Phys. Rev. A 74, 062510 (2006)

Physics

Atomic Physics

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

Scientific paper

10.1103/PhysRevA.74.062510

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 $2^3P$ centroid is corrected. While the resulting theoretical predictions for the ionization energy are in moderate agreement with experimental values for $2^3S_1$, $2^3P$, and $2^1S_0$ states, they are in significant disagreement for the singlet state $2^1P_1$.

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