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Analytical Treatment of the Bethe–Salpeter Equation

  • Ingvar LindgrenEmail author
Chapter
Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 63)

Abstract

The leading contributions to the helium fine structure beyond the first-order relativistic contribution (NVPA, see, Sect. 2.6) were first derived in 1957 by Araki [1] and Sucher [6,  7], starting from the Bethe–Salpeter (BS) equation [5] and including the nonrelativistic as well as the relativistic momentum regions. Following the approach of Sucher, Douglas and Kroll [2] have derived all terms of order α4 H(artree)1, where no contributions in the relativistic region were found. The same approach was later used by Zhang [8,  12] to derive corrections of order α5logα H and of order α5 H in the nonrelativistic region and recoil corrections to order α4 m ∕ M H (see also [10]). Later some additional effects of order α5 H due to relativistic momenta were found by Zhang and Drake [11]. The radiative parts are treated more rigorously by Zhang in a separate paper [9]. Using a different approach, Pachucki and Sapirstein [4] have derived all contributions of order α5 H and reported some disagreement with the early results of Zhang [8].2

Keywords

Transverse Photon Electron Propagator Recoil Correction Virtual Pair Double Pair 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of GothenburgGöteborgSweden

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