{"paper":{"title":"Electromagnetic polarizabilities of the nucleon and properties of the $\\sigma$-meson pole contribution","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Martin Schumacher","submitted_at":"2006-09-05T12:15:50Z","abstract_excerpt":"The $t$-channel contribution to the difference of electromagnetic polarizabilities of the nucleon, $(\\alpha-\\beta)^t$, can be quantitatively understood in terms of a $\\sigma$-meson pole in the complex $t$-plane of the invariant scattering amplitude $A_1(s,t)$ with properties of the $\\sigma$ meson as given by the quark-level Nambu--Jona-Lasinio model (NJL). Equivalently, this quantity may be understood in terms of a cut in the complex $t$-plane where the properties of the $\\sigma$ meson are taken from the $\\pi\\pi -> \\sigma -> \\pi\\pi$, $\\gamma\\gamma -> \\sigma -> \\pi\\pi$ and $N\\bar{N} -> \\sigma -"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0609040","kind":"arxiv","version":3},"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"}