Gs. Adkins et J. Sapirstein, ORDER M-ALPHA(6) CONTRIBUTIONS TO GROUND-STATE HYPERFINE SPLITTING INPOSITRONIUM, Physical review. A, 58(5), 1998, pp. 3552-3560
A Bethe-Salpeter based bound-state formalism is applied to the calcula
tion of recoil contributions of order m alpha(6) to hyperfine splittin
g in ground-state positronium. The calculation involves the numerical
evaluation of two- and three-photon exchange diagrams along with deriv
ative terms and many-potential contributions. After inclusion of all o
ther contributions of the same order, a comparison with other calculat
ions and experiment is made. [S1050-2947(98)02911-4].