The Single Photon Annihilation Contributions to the Positronium Hyperfine Splitting to Order meα6

Abstract

The single photon annihilation contributions for the positronium ground state hyperfine splitting are calculated analytically to order meα6 using NRQED. Based on intuitive physical arguments the same result can also be determined by a trivial calculation using results from existing literature. 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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