Constraints on a nonGaussian chi(m)**2 CDM model

Koyama, Kazuya; Soda, J.; Taruya, A.

doi:10.1046/j.1365-8711.1999.03033.x

Constraints on a nonGaussian chi(m)**2 CDM model

Mar, 1999

7 pages

Published in:

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

e-Print:

astro-ph/9903027 [astro-ph]

DOI:

10.1046/j.1365-8711.1999.03033.x

Report number:

KUCP-0130

View in:

ADS Abstract Service

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Abstract: (arXiv)

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.

Note:

7 pages, 3 figures, MNRAS in press Report-no: KUCP0130 Journal-ref: Mon.Not.Roy.Astron.Soc. 310 (1999) 1111-1118

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