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Phys. Rev. A 59, 4316–4330 (1999)

Positronium S-state spectrum: Analytic results at O(mα6)

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Andrzej Czarnecki*
Physics Department, Brookhaven National Laboratory, Upton, New York 11973

Kirill Melnikov
Institut für Theoretische Teilchenphysik, Universität Karlsruhe, D-76128 Karlsruhe, Germany

Alexander Yelkhovsky
Budker Institute for Nuclear Physics, Novosibirsk 630090, Russia

Received 27 January 1999; published in the issue dated June 1999

We present an analytic calculation of the O(mα6) recoil and radiative recoil corrections to energy levels of positronium nS states and their hyperfine splitting. A complete analytic formula valid to O(mα6) is given for the spectrum of S states. Technical aspects of the calculation are discussed in detail. Theoretical predictions are given for various energy intervals and compared with experimental results.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.59.4316
DOI:
10.1103/PhysRevA.59.4316
PACS:
36.10.Dr, 06.20.Jr, 12.20.Ds, 31.30.Jv

*Electronic address: czar@quark.phy.bnl.gov

Electronic address: melnikov@particle.physik.uni-karlsruhe.de

Electronic address: yelkhovsky@inp.nsk.su