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The one-loop self-energy correction to the hyperfine splitting of the 1s and2s levels in H-like low-Z atoms is evaluated to all orders in Z\alpha. Theresults are compared to perturbative calculations. The residual higher-ordercontribution is evaluated. Implications to the specific difference of thehyperfine structure intervals 8\Delta \nu_2 - \Delta \nu_1 in He^+ areinvestigated.Comment: 17 pages, RevTeX, 3 figure

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

One-loop self-energy correction to the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mi>s</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mi>s</mml:mi></mml:math>hyperfine splitting in H-like systems

One-loop self-energy correction to the1sand2shyperfine splitting in H-like systems