Observational Matter Power Spectrum and the Height of the Second Acoustic Peak

Details Observational Matter Power Spectrum and the Height of the Second Acoustic Peak Observational Matter Power Spectrum and the Height of the Second Acoustic Peak

2000-12-14

arxiv.org/abs/astro-ph/0012320v3

ApJ (2001) 559, 1-8

Astronomy and Astrophysics

Astrophysics

Few typos corrected. Matches published version

Scientific paper

10.1086/322280

We show that the amplitude of the second acoustic peak in the newly released BOOMERANG-98 and MAXIMA-I data is compatible with the standard primordial nucleosynthesis and with the locally broken-scale-invariant matter power spectrum suggested by recent measurements of the power spectrum in the range $20 - 200$ Mpc. If the slope of matter density perturbations on large scales is $n \approx 1$, the Hubble constant is $0.5< h < 0.75$, and r.m.s. mass fluctuations at 8 Mpc are $0.65 \le \sigma_8 \le 0.75$, then for a Universe approximately 14 Gyr old our best fit within the nucleosynthesis bound $\Omega_Bh^2= 0.019 \pm 0.0024$ requires $0.3 \le \Omega_m \le 0.5$. Cluster abundances further constraint the matter density to be $\Omega_m \approx 0.3$. The CMB data alone are not able to determine the detailed form of the matter power spectrum in the range $0.03

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