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

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          Abstract

          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 \(0.03<k<0.06\) \hmpc where deviations from the scale-invariant spectrum are expected to be most significant, but they do not contradict the existence of the previously claimed peak at \(k\sim 0.05\) \hmpc, and a depression at \(k\sim 0.035\) \hmpc.

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          Author and article information

          Journal
          14 December 2000
          2001-11-06
          Article
          10.1086/322280
          astro-ph/0012320
          2fe76894-1b2d-4a00-b876-e80f659bd881
          History
          Custom metadata
          ApJ (2001) 559, 1-8
          Few typos corrected. Matches published version
          astro-ph

          General astrophysics
          General astrophysics

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