{"paper":{"title":"Properties of the $\\pi^0$, $\\eta$, $\\eta'$, $\\sigma$, $f_0(980)$ and $a_0(980)$ mesons and their relevance for the polarizabilities of the nucleon","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Martin Schumacher","submitted_at":"2007-12-10T10:00:42Z","abstract_excerpt":"The signs and values of the two-photon couplings $F_{M\\gamma\\gamma}$ of mesons $(M)$ and their couplings $g_{MNN}$ to the nucleon as entering into the $t$-channel parts of the difference of the electromagnetic polarizabilities $(\\alpha-\\beta)$ and the backward angle spin polarizabilities $\\gamma_\\pi$ are determined. The excellent agreement achieved with the experimental polarizabilities of the proton makes it possible to make reliable predictions for the neutron. The results obtained are $\\alpha_n=13.4\\pm 1.0$, $\\beta_n=1.8\\mp 1.0$ ($10^{-4}$ fm$^3$), and $\\gamma^{(n)}_\\pi=57.6\\pm 1.8$ ($10^{-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.1417","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"}