{"paper":{"title":"Unifying XRFs and GRBs with a Fisher-Shaped Universal Jet Model","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"C. Graziani, D. Q. Lamb, T. Q. Donaghy","submitted_at":"2005-05-08T16:49:45Z","abstract_excerpt":"We show analytically that GRB jets with an emissivity profile given by the Fisher distribution, epsilon(theta) = A * e^(B cos(theta)), have the unique property of producing equal numbers of bursts per logarithmic interval in Eiso, and therefore in most burst properties. Since this broad distribution of burst properties is a key feature found by HETE-2, a Fisher-shaped universal jet model can explain many of the observed properties of XRFs, X-ray-rich GRBs, and GRBs reasonably well, in contrast to a power-law universal model. For small viewing angles, the Fisher distribution can be approximated"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0505151","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"}