Constraints on a non-gaussian ($χ_m^2$) CDM model

Details Constraints on a non-gaussian ($χ_m^2$) CDM model Constraints on a non-gaussian ($χ_m^2$) CDM model

1999-03-02

arxiv.org/abs/astro-ph/9903027v2

Mon.Not.Roy.Astron.Soc. 310 (1999) 1111-1118

Astronomy and Astrophysics

Astrophysics

7 pages, 3 figures, MNRAS in press

Scientific paper

10.1046/j.1365-8711.1999.03033.x

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.

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