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Issue A&A
Volume 438, Number 2, August I 2005
Page(s) 461 - 473
Section Cosmology (including clusters of galaxies)
DOI http://dx.doi.org/10.1051/0004-6361:20052939



A&A 438, 461-473 (2005)
DOI: 10.1051/0004-6361:20052939

The imprint of cosmological hydrogen recombination lines on the power spectrum of the CMB

J. A. Rubiño-Martín1, 2, C. Hernández-Monteagudo1 and R. A. Sunyaev1, 3

1  Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str.1, Postfach 1317, 85741 Garching, Germany
    e-mail: jalberto@iac.es
2  Instituto de Astrofísica de Canarias, 38200 La Laguna, Tenerife, Spain
3  Space Research Institute (IKI), Russian Academy of Sciences, Moscow, Russia

(Received 25 February 2005 / Accepted 24 March 2005 )

Abstract
We explore the imprint of the cosmological hydrogen recombination lines on the power spectrum of the cosmic microwave background (CMB). In particular, we focus on the three strongest lines for the Balmer, Paschen and Brackett series of hydrogen. We expect changes in the angular power spectrum due to these lines of about $0.3~\mu{\rm K}$ for the H$\alpha$ line, being maximum at small angular scales ( $\ell \approx 870$). The morphology of the signal is very rich. It leads to relatively narrow spectral features ( $\Delta \nu / \nu \sim 10^{-1}$), with several regions in the power spectrum showing a characteristic change of sign of the effect as we probe different redshifts or different multipoles by measuring the power spectrum at different frequencies. It also has a very peculiar dependence on the multipole scale, connected with the details of the transfer function at the epoch of scattering. In order to compute the optical depths for these transitions, we have numerically evolved the populations of the levels of the hydrogen atom during recombination, simultaneously treating the evolution of helium. For the hydrogen atom, we follow each angular momentum state separately, up to the level n=10. Foregrounds and other frequency dependent contaminants such as Rayleigh scattering may be a important limitation for these measurements, although the peculiar frequency and angular dependences of the effect that we are discussing might permit us to separate it. Detection of this signal using future narrow-band spectral observations can give information about the details of how the cosmic recombination proceeds, and how Silk damping operates during recombination.


Key words: cosmic microwave background -- cosmology: theory -- early Universe -- atomic processes




© ESO 2005


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