English

Eight-component differential equation for leptonium

Atomic Physics 2016-09-08 v1

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<-\infty < E < \infty; the resulting atomic spectrum is explicitly CPT-invariant.

Cite

@article{arxiv.physics/9611004,
  title  = {Eight-component differential equation for leptonium},
  author = {R. Haeckl and V. Hund and H. Pilkuhn},
  journal= {arXiv preprint arXiv:physics/9611004},
  year   = {2016}
}

Comments

10 pages; no figures. The complete paper, including figures, is also available via anonymous ftp at ftp://ttpux2.physik.uni-karlsruhe.de/ , or via www at http://www-ttp.physik.uni-karlsruhe.de/cgi-bin/preprints/