{"paper":{"title":"Extended Goldberger-Treiman relation obtained in a three-flavor parity doublet model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Hiroki Nishihara, Masayasu Harada","submitted_at":"2015-06-26T04:24:53Z","abstract_excerpt":"We study masses and decay widths of positive and negative parity nucleons using a three-flavor parity doublet model, in which we introduce three representations, $\\left[({\\bf 3} , \\bar{{\\bf 3}})\\oplus (\\bar{{\\bf 3}} , {\\bf 3})\\right]$, $\\left[({\\bf 3} , {\\bf 6}) \\oplus ({\\bf 6}, {\\bf 3})\\right]$, and $\\left[({\\bf 8} , {\\bf 1}) \\oplus ({\\bf 1} , {\\bf 8})\\right]$ of the chiral U$(3)_{\\rm L}\\times$U$(3)_{\\rm R}$ symmetry. We find an extended version of the Goldberger-Treiman relation among the mass differences and the coupling constants for pionic transitions. This relation leads to an upper boun"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07956","kind":"arxiv","version":2},"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"}