{ "id": "astro-ph/0107442", "version": "v2", "published": "2001-07-23T18:24:00.000Z", "updated": "2001-12-21T15:15:38.000Z", "title": "The Central Mass and Phase-Space Densities of Dark Matter Halos: Cosmological Implications", "authors": [ "Paul R. Shapiro", "Ilian T. Iliev" ], "comment": "12 pages, 3 figures, ApJ Letters, in press (2002); Changed to match the accepted version. Results and figures unchanged; text revisions only", "doi": "10.1086/339243", "categories": [ "astro-ph" ], "abstract": "Current data suggest that the central mass densities $\\rho_0$ and phase-space densities $Q\\equiv\\rho_0/\\sigma_V^3$ of cosmological halos in the present universe are correlated with their velocity dispersions $\\sigma_V$ over a very wide range of $\\sigma_V$ from less than 10 to more than 1000 $\\rm km s^{-1}$. Such correlations are an expected consequence of the statistical correlation of the formation epochs of virialized objects in the CDM model with their masses; the smaller-mass halos typically form first and merge to form larger-mass halos later. We have derived the $Q-\\sigma_V$ and $\\rho_0-\\sigma_V$ correlations for different CDM cosmologies and compared the predicted correlations with the observed properties of a sample of low-redshift halos ranging in size from dwarf spheroidal galaxies to galaxy clusters. Our predictions are generally consistent with the data, with preference for the currently-favored, flat $\\Lambda$CDM model. Such a comparison serves to test the basic CDM paradigm while constraining the background cosmology and the power-spectrum of primordial density fluctuations, including larger wavenumbers than have previously been constrained.", "revisions": [ { "version": "v2", "updated": "2001-12-21T15:15:38.000Z" } ], "analyses": { "keywords": [ "dark matter halos", "phase-space densities", "cosmological implications", "correlation", "cdm model" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "inspire": 575818 } } }