Eight-component differential equation for leptonium

Abstract

It is shown that the potential for lepton-antilepton bound states (leptonium) is the Fourier transform of the first Born approximation to the QED scattering amplitude in an 8-component equation, while 16-component equations are excluded. The Fourier transform is exact at all cms energies -∞ < E < ∞; the resulting atomic spectrum is explicitly CPT-invariant.

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