Positronium S state spectrum: analytic results at O(m alpha^6)
Andrzej Czarnecki, Kirill Melnikov, and Alexander Yelkhovsky
TL;DR
This paper provides an analytic calculation of high-order corrections to positronium S state energy levels, including recoil effects, offering precise formulas and comparisons with experimental data.
Contribution
It presents the first complete analytic formula for O(m alpha^6) corrections to positronium S state spectrum, including recoil and hyperfine splitting.
Findings
Analytic formulas for O(m alpha^6) corrections derived
Comparison with experimental results shows good agreement
Technical details of the calculation are thoroughly discussed
Abstract
We present an analytic calculation of the O(m alpha^6) recoil and radiative recoil corrections to energy levels of positronium nS states and their hyperfine splitting. A complete analytic formula valid to O(m alpha^6) 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.
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