Details on the $\mathcal{O}(m_e{\alpha }^6)$ Positronium Hyperfine Splitting due to Single Photon Annihilation

Abstract

A detailed presentation is given of the analytic calculation of the single-photon annihilation contributions to the positronium ground state hyperfine splitting to order $m_e{\alpha }^6$ in the framework of non-relativistic effective theories. The current status of the theoretical description of the positronium ground state hyperfine splitting is reviewed.

27 pages, latex, 5 postscript figures; typos corrected

References in corpus (5)

• Asymptotic expansion of Feynman integrals near threshold
• Positronium S state spectrum: analytic results at O(m alpha^6)
• Positronium hyperfine splitting: analytical value at m*alpha^6
• Complete Result for Positronium Energy Levels at Order alpha^6 m
• Threshold Expansion and Dimensionally Regularised NRQCD

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• Positronium energy levels at order $m{\alpha }^7$: light-by-light scattering in the two-photon-annihilation channel
• Two-loop corrections to the decay rate of parapositronium
• Accurate S-state helium wave functions in momentum space