Constraints on a non-Gaussian (χm2) cold dark matter model

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 similar to 0.6, for the spectrum parametrized by cold dark matter (CDM) shape parameter Gamma = 0.23, we obtain an upper bound for the density parameter of Omega(m) similar to 0.5 and lower bounds for the amplitude of sigma(8) similar to 0.7 and for the non-Gaussianity of fluctuations of G similar to 2 (m similar to 200), where G = 1 for Gaussian.