Determination of the Baryon Density from Large Scale Galaxy Redshift Surveys

Abstract

We estimate the degree to which the baryon density, ${\Omega }_b$, can be determined from the galaxy power spectrum measured from large scale galaxy redshift surveys, and in particular, the Sloan Digital Sky Survey. A high baryon density will cause wiggles to appear in the power spectrum, which should be observable at the current epoch. We assume linear theory on scales $\ge 20h^{-1}Mpc$ and do not include the effects of redshift distortions, evolution, or biasing. With an optimum estimate of $P(k)$ to $k\sim 2\pi /(20h^{-1}Mpc)$, the $1\sigma$ uncertainties in ${\Omega }_b$ are roughly 0.07 and 0.016 in flat and open (${\Omega }_0=0.3$) cosmological models, respectively. This result suggests that it should be possible to test for consistency with big bang nucleosynthesis estimates of ${\Omega }_b$ if we live in an open universe.

23 Pages, 10 Postscript figures

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