{"paper":{"title":"Field-theoretical three-body relativistic equations for the multichannel $\\pi N <-> \\gamma N <-> \\pi \\pi N <-> \\gamma \\pi N$ reactions","license":"","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"A. I. Machavariani, Amand Faessler","submitted_at":"2003-06-12T16:21:07Z","abstract_excerpt":"A new kind of the relativistic three-body equations for the coupled $\\pi N$ and $\\gamma N$ scattering reactions with the $\\pi \\pi N$ and $\\gamma \\pi N$ three particle final states are suggested. These equations are derived in the framework of the standard field-theoretical $S$-matrix approach in the time-ordered three dimensional form. Therefore corresponding relativistic covariant equations are three-dimensional from the beginning and the considered formulation is free of the ambiguities which appear due to a three dimensional reduction of the four dimensional Bethe-Salpeter equations. The so"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/0306040","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"}