O(alpha3 ln alpha) corrections to muonium and positronium hyperfine splitting
Abstract
We compute O(alpha3 ln alpha) 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.
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