{"paper":{"title":"A Statistical Treatment to the Evolution Equation for Quark Distributions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Hai Lin","submitted_at":"2001-06-11T04:09:22Z","abstract_excerpt":"The evolution of polarized quark distribution functions is taken into account the gluon emission and absorption, quark pair production and annihilation processes and treated by a statistical method which provides quark distribution functions at small $Q^2$. The evolution function of quark distributions is derived and solved by numerical methods. Then the $Q^2$ dependent and $\\alpha_{s}$ dependent structure functions $F_{2}(x, Q^{2})$ are obtained and the example of it, the proton structure function, is calculated, whose increase and decrease tendency with $\\alpha_{s}$ at different $x$ is consi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0106100","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"}