{"paper":{"title":"New results on Pionic Twist-3 Distribution Amplitudes within the QCD Sum Rules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jia-wei Zhang, Tao Zhong, Xing-Gang Wu, Yun-Qing Tang, Zhen-Yun Fang","submitted_at":"2011-01-19T00:32:07Z","abstract_excerpt":"We present an improved calculation on the pionic twist-3 distribution amplitudes $\\phi^{\\pi}_{p}$ and $\\phi^{\\pi}_{\\sigma}$, which are studied within the QCD sum rules. By adding all the uncertainties in quadrature, it is found that $<\\xi^2_p>=0.248^{+0.076}_{-0.052}$, $<\\xi^4_p>=0.262^{+0.080}_{-0.055}$, $<\\xi^2_\\sigma>=0.102^{+0.035}_{-0.025}$ and $<\\xi^4_\\sigma>=0.094^{+0.028}_{-0.020}$. Furthermore, with the help of these moments, we construct a model for the twist-3 wave functions $\\psi^{\\pi}_{p,\\sigma}(x,\\mathbf{k}_\\bot)$, which have better end-point behavior and are helpful for perturba"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.3592","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"}