2009/08/29 by M. Mattes, Mattes, M., M. Sorg +1
Chemistry · Engineering · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Atomic and Molecular Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Muon and positron interactions and applications #hep-th
paper · pdf · doi:10.48550/arxiv.0908.4331
178 pages and 7 figures
arxiv created 2009/08/29 · openalex publication_date 2009/08/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The non-invariant energy functional of the preceding paper is improved in order to obtain its gauge-invariant form by strictly taking into account the non-Abelian character of Relativistic Schroedinger Theory (RST). As an application of the results, the dichotomy of positronium with respect to singlet and triplet states is discussed (ortho- and para-positronium). The degeneracy of the ortho- and para-states occurs in RST if (i) the magnetic interactions are neglected (as in the conventional theory) and (ii) the anisotropy of the electric interaction potential is disregarded. In view of such a very crude approximation procedure, the non-relativistic positronium spectrum in RST agrees amazingly well with the conventional predictions.