{"paper":{"title":"Baryon fields with $U_{L}(3)\\times U_{R}(3)$ chiral symmetry V: Pion-Nucleon and Kaon-Nucleon $\\Sigma$ Terms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Atsushi Hosaka, Hua-Xing Chen, V. Dmitrasinovic","submitted_at":"2018-12-09T02:16:38Z","abstract_excerpt":"We have previously calculated the pion-nucleon $\\Sigma_{\\pi N}$ term in the chiral mixing approach with $u,d$ flavors only, and found the lower bound $\\Sigma_{\\pi N} \\geq \\left(1 + \\frac{16}{3} \\sin^2 \\theta \\right){3 \\over 2} \\left(m_{u}^{0} + m_{d}^{0}\\right)$. The mixing angle $\\theta$ can be calculated as $\\sin^2\\theta = \\frac{3}{8}\\left(g_A^{(0)} + g_A^{(3)}\\right)$. With presently accepted values of current quark masses, this leads to $\\Sigma_{\\pi N} \\geq 58.0 \\pm 4.5 \\begin{array}{l} +11.4 \\\\ -6.5 \\end{array}$ MeV, which is in agreement with the values extracted from experiments, and su"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.03414","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"}