Improved theoretical predictions for the fine-structure splitting of 2³PJ levels in helium are obtained by the calculation of contributions of order α⁵ Ry. New results for transition frequencies ν₀₁=29 616 943.01(17) kHz and ν₁₂=2 291 161.13(30) kHz disagree significantly with the experimental values, indicating an outstanding problem in bound state QED.
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Krzysztof Pachucki (2006) studied this question.
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