Selfenergy correction to the hyperfine splitting for excited states
Abstract
The selfenergy corrections to the hyperfine splitting is evaluated for higher excited states in hydrogenlike ions using an expansion in the binding parameter Zα, where Z is the nuclearcharge number and α is the finestructure constant. We present analytic results for D, F, and G states, and for a number of highly excited Rydberg states, with principal quantum numbers in the range 13⩽n⩽16, and orbital angular momenta ℓ=n2 and ℓ=n1. A closedform analytic expression is derived for the contribution of highenergy photons, valid for any state with ℓ⩾2 and arbitrary n, ℓ, and total angular momentum j. The lowenergy contributions are written in the form of generalized Bethe logarithms and evaluated for selected states.
 Publication:

Physical Review A
 Pub Date:
 May 2011
 DOI:
 10.1103/PhysRevA.83.052501
 arXiv:
 arXiv:1103.4852
 Bibcode:
 2011PhRvA..83e2501W
 Keywords:

 31.15.p;
 12.20.Ds;
 06.20.Jr;
 Calculations and mathematical techniques in atomic and molecular physics;
 Specific calculations;
 Determination of fundamental constants;
 Physics  Atomic Physics;
 High Energy Physics  Phenomenology
 EPrint:
 7 pages