Geiger, K; Reinhardt, J; uuml, M; ller, B; Greiner, W, *Magnetic moment interactions in the e$^{-}$-e$^{+}$ system*,
Z. Phys. A, vol. 329 no. 1
(1988),
pp. 77-88 [doi] .
**Abstract:**

*We have studied the possible existence of quasibound states of an electron-positron pair due to their magnetic interaction in the framework of the equations suggested by Barut et al. [5]. We derive radial equations for all angular quantum numbers of the e--e+ system and show, in detail, that Barut's equations doe not give a consistent, physically satisfactory description of positronium, except in the non-relativistic approximation (up to terms of order m Î±2). Moreover, we do not find evidence that the effective potentials occurring in the radial equations support magnetic resonances of the e--e+ system at short particle distances ("micropositronium"). Â© 1988 Springer-Verlag.*