PoS - Proceedings of Science
Volume 353 - International Conference on Precision Physics and Fundamental Physical Constants (FFK2019) - Session 1: Precision spectroscopy of atoms and ions
Calculation of higher order corrections to positronium energy levels
G. Adkins*, B. Akers, M.F. Alam, L.M. Tran and X. Zhang
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Pre-published on: October 15, 2019
Published on: February 18, 2020
We report on progress in the calculation of corrections to positronium energy levels of order $m \alpha^7$. Corrections at this level will be needed for the interpretation of the results of upcoming measurements. A procedure for the calculation of high order corrections has been developed based on the Bethe-Salpeter equation of dimensionally regularized NRQED and the method of regions. We demonstrate the effectiveness of this approach by using it to obtain all pure recoil corrections to positronium energies at $O(m \alpha^6)$ in a unified manner.
DOI: https://doi.org/10.22323/1.353.0004
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