Self-energy correction to the hyperfine splitting of the 1 s and 2 s states in hydrogenlike ions

Abstract
The one-loop self-energy correction to the hyperfine splitting of the 1 s and 2 s states of hydrogenlike ions is calculated for both point and finite nuclei. The results of the calculation are combined with other corrections to find the ground state hyperfine splitting in lithiumlike 209Bi80+ and 165Ho64+.