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 thee −-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 orderm α2). Moreover, we donot find evidence that the effective potentials occurring in the radial equations support magnetic resonances of the e−-e + system at short particle distances (“micropositronium”).
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