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Cosmic microwave background (CMB) anisotropies and density fluctuations are calculated for flat cold dark matter (CDM) models with a wide range of parameters, viz., Ω0, h, and ΩB, for standard recombination and for various epochs of reionization. Tables of the power spectrum of CMB anisotropies in the form of C1 values as a function of l are presented. Although the Harrison-Zeldovich initial spectrum is assumed in these tables, we present simple approximations for obtaining the C1 values corresponding to a tilted spectrum from those with a Harrison-Zeldovich spectrum. Values of σ8 are derived for the matter density spectrum, with α(10°), fixed Qrms-PS and COBE Differential Microwave Radiometer (DMR) 2 yr normalizations. Simple modifications of the fitting formula for the density transfer function are given which are applicable for models with high baryon density. By using both numerical results and these fitting formulae, we calculate the relation between α8 and Qrms-PS and find good agreement. In addition, the velocity fields are calculated.
Naoshi Sugiyama (Sun,) studied this question.