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3. FROM HERE AND NOW TO THERE AND THEN

To test the consistency of SBBN requires that we confront the predictions with the primordial abundances of the light nuclides which, however, are not observed but, rather, are inferred from observations. The path from the observational data to the primordial abundances is long and twisted and often fraught with peril. In addition to the usual statistical and systematic uncertainties, it is crucial to forge a connection from ``here and now'' to ``there and then''; i.e., to relate the derived abundances to their primordial values. It is indeed fortunate that each of the key elements is observed in different astrophysical sites using very different astronomical techniques. Also, the corrections for chemical evolution differ among them and, even more important, they can be minimized. For example, deuterium (and hydrogen) is mainly observed in cool, neutral gas (so called H I regions) via UV absorption from the atomic ground state (the Lyman series), while radio telescopes allow helium-3 to be studied utilizing the analog of the hydrogen 21 cm line for singly-ionized 3He in regions of hot, ionized gas (so called H II regions). Helium-4 is probed using the emission from its optical recombination lines formed in H II regions. In contrast, lithium is observed in the absorption spectra of warm, low-mass halo stars. With such different sites, with the mix of absorption/emission, and with the variety of telescopes and different detectors involved, the possibility of correlated errors biasing the comparison with the predictions of BBN is unlikely. This favorable situation extends to the obligatory evolutionary corrections. For example, although until recently observations of deuterium were limited to the solar system and the Galaxy, mandating uncertain evolutionary corrections to infer the pregalactic abundance, the Keck and Hubble Space telescopes have begun to open the window to deuterium in high-redshift, low-metallicity, nearly primordial regions (Lyman-alpha clouds). Observations of 4He in chemically unevolved, low-metallicity (~ 1/50 of solar) extragalactic H II regions permit the evolutionary correction to be reduced to the level of the statistical uncertainties. The abundances of lithium inferred from observations of the very metal-poor halo stars (one-thousandth of solar abundance and even lower) require almost no correction for chemical evolution. On the other hand, as noted earlier, the status of helium-3 is in contrast to that of the other light elements. For this reason, 3He will not be used quantitatively in this article.

The currently very favorable observational and evolutionary situation for the nuclides produced during BBN is counterbalanced by the likely presence of systematic errors in the path from observations to primordial abundances. By their very nature, such errors are difficult - if not impossible - to quantify. In the key case of deuterium there is a very limited set of the most useful data. As a result, and although cosmological abundance determinations have taken their place in the current ``precision'' era of cosmology, it is far from clear that the present abundance determinations are truly ``accurate''. Thus, the usual caveat emptor applies to any conclusions drawn from the subsequent comparison between the predictions and the data. With this caution in mind the current status of the data will be surveyed in order to infer ``reasonable'' ranges for the primordial abundances of the key light elements.

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