O(alpha(3) lnalpha) corrections to muonium and positronium hyperfine splitting.
We compute O(alpha(3)lnalpha) relative corrections to the ground-state hyperfine splitting of a QED two-body bound state with different masses of constituents. The general result is then applied to muonium and positronium. In particular, a new value of the muon-to-electron mass ratio is derived from the muonium ground-state hyperfine splitting.
Melnikov
K
K
Stanford Linear Accelerator Center, Stanford University, California 94309, USA. melnikov@slac.stanford.edu
Yelkhovsky
A
A