All-Order Binding Corrections to Muonium Hyperfine Splitting

Abstract
The use of exact Dirac-Coulomb propagators allows the evaluation of binding corrections to the Schwinger correction in ground state muonium hyperfine splitting to all orders. The calculational method is described and the results are used firstly to verify recent perturbative calculations of higher-order binding corrections and secondly to evaluate the residual terms of still higher order. Implications for muonium hyperfine splitting are discussed.