AbstractThe physical ingredients to describe the epoch of cosmological recombination are amazingly simple and well‐understood. This fact allows us to take into account a very large variety of physical processes, still finding potentially measurable consequences for theenergy spectrumandtemperature anisotropiesof the Cosmic Microwave Background (CMB). In this contribution we provide a short historical overview in connection with the cosmological recombination epoch and its connection to the CMB. Also we highlight some of the detailed physics that were studied over the past few years in the context of the cosmological recombination ofhydrogenandhelium. The impact of these considerations is two‐fold:(i) The associated release of photons during this epoch leads to interesting andunique deviationsof the CosmicMicrowave Background (CMB) energy spectrumfrom a perfect blackbody, which, in particular at decimeter wavelength and the Wien part of the CMB spectrum, may become observable in the near future. Despite the fact that the abundance of helium is rather small, it still contributes a sizeable amount of photons to the full recombination spectrum, leading to additional distinct spectral features. Observing the spectral distortions from the epochs of hydrogen and helium recombination, in principle would provide an additional way to determine some of the key parameters of the Universe (e.g. the specific entropy, the CMB monopole temperature and the pre‐stellar abundance of helium). Also it permits us to confront our detailed understanding of the recombination process withdirect observational evidence. In this contribution we illustrate how the theoreticalspectral templateof the cosmological recombination spectrum may be utilized for this purpose. We also show that because hydrogen and helium recombine at very different epochs it is possible to address questions related to thethermal historyof our Universe. In particular the cosmological recombination radiation may allow us to distinguish between Comptony‐distortions that were created by energy releasebeforeorafterthe recombination of the Universe finished.(ii) With the advent of high precision CMB data, e.g. as will be available using the PLANCK Surveyor or CMBPOL, a very accurate theoretical understanding of theionization historyof the Universe becomes necessary for the interpretation of the CMB temperature and polarization anisotropies. Here we show that the uncertainty in the ionization history due to several processes, which until now were not taken in to account in the standard recombination code RECFAST, reaches the percent level. In particular He II → He I recombination occurs significantly faster because of the presence of a tiny fraction of neutral hydrogen atz∼ 2400. Also recently it was demonstrated that in the case of H I Lymanαphotons thetimedependenceof the emission process and theasymmetrybetween the emission and absorption profile cannot be ignored. However, it is indeed surprising howinertthe cosmological recombination history is even at percent‐level accuracy. Observing the cosmological recombination spectrum should in principle allow us to directly check this conclusion, which until now is purely theoretical. Also it may allow toreconstruct the ionization historyusing observational data (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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