{
  "id": "astro-ph/9903027",
  "version": "v2",
  "published": "1999-03-02T05:04:40.000Z",
  "updated": "1999-11-01T13:17:46.000Z",
  "title": "Constraints on a non-gaussian ($χ_m^2$) CDM model",
  "authors": [
    "Kazuya Koyama",
    "Jiro Soda",
    "Atsushi Taruya"
  ],
  "comment": "7 pages, 3 figures, MNRAS in press",
  "journal": "Mon.Not.Roy.Astron.Soc. 310 (1999) 1111-1118",
  "doi": "10.1046/j.1365-8711.1999.03033.x",
  "categories": [
    "astro-ph"
  ],
  "abstract": "We consider constraints on the structure formation model based on non-Gaussian fluctuations generated during inflation, which have $\\chi_m^2$ distributions. Using three data sets, the abundance of the clusters at $z=0$, moderate $z$ and the correlation length, we show that constraints on the non-Gaussianity and the amplitude of fluctuations and the density parameter can be obtained. We obtain an upper bound for $\\Omega_m$ and a lower bound for the non-Gaussianity and the amplitude of the fluctuations. Using the abundance of clusters at $z \\sim 0.6$, for the spectrum parameterized by cold dark matter (CDM) shape parameter $\\Gamma=0.23$, we obtain an upper bound for the density parameter $\\Omega_m \\sim 0.5$ and lower bounds for the amplitude $\\sigma_8 \\sim 0.7$ and for the non-Gaussianity of fluctuations $G \\sim 2$ $(m \\sim 200)$, where G=1 for Gaussian.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1999-11-01T13:17:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cdm model",
      "constraints",
      "upper bound",
      "density parameter",
      "lower bound"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 496087
    }
  }
}