{"paper":{"title":"Spherical collapse and mass function of rich clusters in models with curvature and cosmological constant","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"B. Novosyadlyj (Astronomical Observatory of Ivan Franko National University of L'viv), Yu. Kulinich","submitted_at":"2003-02-18T19:22:46Z","abstract_excerpt":"We have analyzed the dependences of the threshold value of amplitude of linear density fluctuation collapsed at the current epoch, $\\delta_c$, and its overdensity after virialization, $\\Delta_c$, on matter density content, 3D curvature parameter and cosmological constant. Though the range for the threshold values of perturbation amplitude is quite narrow - $1.55\\le \\delta_c\\le 1.75$ in the region of parameters $-0.4\\le\\Omega_k\\le0.4$, $0\\le\\Omega_{\\Lambda}\\le 1$, $0.1\\le\\Omega_m\\le 1$, the difference in the concentrations of rich clusters of galaxies (calculated within the Press-Schechter form"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0302358","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/0302358/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}