{"paper":{"title":"Dimorphism of Ortho-Positronium in Relativistic Schr\\\"odinger Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"M. Mattes, M. Sorg","submitted_at":"2012-04-29T16:38:58Z","abstract_excerpt":"The non-relativistic energy levels of ortho-positronium are calculated in the quadrupole and octupole approximations for the interaction potential. For this purpose, the RST eigenvalue problem of angular momentum is illustratively solved for the quantum numbers $\\jO=0,1,2,3,4$ and $\\bjz=\\pm 1$. This eigenvalue problem admits \\emph{ambiguous} solutions for $0<|\\bjz|<\\jO$ whereas the solutions for $\\bjz=0$ and $\\bjz=\\pm \\jO$ are \\emph{unique}. In order to attain some (at least approximative) solutions of the energy eigenvalue problem one tries a factorized ansatz for the wave function and thus s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.6494","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}