{"paper":{"title":"The minimum width condition for neutrino conversion in matter","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. Yu. Smirnov, C. Lunardini","submitted_at":"2000-02-14T19:58:32Z","abstract_excerpt":"We find that for small vacuum mixing angle $\\theta$ and low energies ($s\\ll M^2_Z$) the width of matter, $d_{1/2}$, needed to have conversion probability $P\\geq 1/2$ should be larger than $d_{min}= \\pi/(2\\sqrt{2} G_{F} \\tan 2 \\theta)$: $d_{1/2}\\geq d_{min}$. Here $G_F$ is the Fermi constant, $s$ is the total energy squared in the center of mass and $M_Z$ is the mass of the $Z$ boson. The absolute minimum $d_{1/2}=d_{min}$ is realized for oscillations in a uniform medium with resonance density. For all the other density distributions (monotonically varying density, castle wall profile, etc.) th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0002152","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"}