{"paper":{"title":"Effect of sigma meson on the $D_1(2430) \\to D\\pi\\pi$ decay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Hironori Hoshino, Masayasu Harada, Yong-Liang Ma","submitted_at":"2012-03-16T08:31:15Z","abstract_excerpt":"We study the effect of sigma meson on the $D_1(2430) \\to D\\pi\\pi$ decay by constructing an effective Lagrangian preserving the chiral symmetry and the heavy quark symmetry. The sigma meson is included through a linear sigma model, in which both the $q\\bar{q}$ and $qq\\bar{q}\\bar{q}$ states are incorporated respecting their different $U(1)_{A}$ transformation properties. We first fit the sigma meson mass and $\\sigma$-$\\pi$-$\\pi$ coupling constant to the I=0, $S$-wave $\\pi$-$\\pi$ scattering data. Then, we show how the differential decay width $d\\Gamma(D_1 \\to D(\\pi\\pi)_{I = 0, L =0})/d m_{\\pi\\pi}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3632","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"}