Additional radiative-recoil corrections to muonium and positronium hyperfine splitting
A compact expression for one-loop radiative corrections to lepton lines in positronium and muonium hyperfine splitting is presented. It is valid for hyperfine-splitting contributions of order ..cap alpha../sup 2/E/sub F/, including the effects of recoil to all orders. For muonium, known nonrecoil parts of this contribution are easily evaluated analytically, as is a previously calculated radiative-recoil contribution of order ..cap alpha../sup 2/E/sub F/(m/sub e//m/sub ..mu../)ln(m/sub ..mu..//m/sub e/). Nonlogarithmic radiative-recoil corrections obtained by numerical evaluation of this expression yield new contributions of 2.64 +- 0.07 kHz for muonium and -11.12 +- 0.02 MHz for positronium.
- Research Organization:
- Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14853
- OSTI ID:
- 5541495
- Journal Information:
- Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 51:11; ISSN PRLTA
- Country of Publication:
- United States
- Language:
- English
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