Single Photon Annihilation Contributions to the Positronium Hyperfine Splitting to Ordermeα6

Abstract
The single photon annihilation contributions for the positronium ground state hyperfine splitting are calculated analytically to order meα6 using nonrelativistic QED. Based on intuitive physical arguments the same result can also be determined using results from previous calculations. Our result completes the hyperfine splitting calculation to order meα6. We compare the theoretical prediction with the most recent experimental measurement.
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