Order alpha7 ln(1/alpha) Contribution to Positronium Hyperfine Splitting
Abstract
The logarithmically enhanced alpha7 ln(1/alpha) contribution to the hyperfine splitting of the positronium ground-state energy levels is calculated in the framework of dimensionally regularized nonrelativistic quantum electrodynamics. The correction is negative and amounts to about 1/3 of the leading logarithmic alpha7 ln2(1/alpha) one. The discrepancy between the experimental measurements and the theoretical prediction is reduced.
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