{"paper":{"title":"A new order $\\alpha$ correction to the decay rate of pionium","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"K. Buckley (Bishop's U.), P. Labelle (McGill U.)","submitted_at":"1998-04-01T03:48:41Z","abstract_excerpt":"Recently, much work has been devoted to the calculation of order $\\alpha$ corrections to the decay rate of pionium, the $\\pi^+ \\pi^-$ bound state. In previous calculations, nonrelativistic QED corrections were neglected since they start at order $\\alpha^2$ in hydrogen and positronium. In this note, we point out that there is one correction which is actually of order $\\alpha$ times a function of the ratio $\\mu_r \\alpha / m_e$, where $\\mu_r$ is the reduced mass of the system. When $\\mu_r \\alpha \\ll m_e$, this function can be Taylor expanded and leads to higher order corrections. When $\\mu_r \\alp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9804201","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/9804201/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}