Work

BBN for pedestrians

Year: 2004
Type: article
Abstract: The simplest, 'standard' model of Big Bang nucleosynthesis (SBBN) assumes three light neutrinos ( N ν = 3) and no significant electron neutrino asymmetry ( asymmetry parameter ξ e ≡ μ e / kT , where μ e is the chemical potential of ν e ) leaving only one adjustable parameter: the baryon to photon ratio η ≡ n B / n γ . The primordial abundance of any one nuclide can, therefore, be used to measure η and the value derived from the observationally inferred primordial abundance of deuterium closely matches that from current non-BBN data, primarily from the WMAP survey. However, using this same estimate for η, there is a tension between the SBBN-predicted abundances of 4 He and 7 Li and their current, observationally inferred primordial abundances, suggesting that N ν may differ from the standard model value of three and/or that ξ e may differ from zero (or, that systematic errors in the abundance determinations have been underestimated or overlooked). The differences are not large and the allowed ranges of the BBN parameters (η, N ν and ξ e ) permitted by the data are quite small. Within these ranges, the BBN-predicted abundances of D, 3 He, 4 He, and 7 Li are very smooth, monotonic functions of η 10 , Δ N ν ≡ N ν − 3 and ξ e . As a result, it is possible to describe the dependence of these abundances (or powers of them) upon the three parameters by simple, linear fits which, over their ranges of applicability, are accurate to a few per cent or even better. The fits presented here have not been maximized for their accuracy but, rather, for their simplicity . To identify the ranges of applicability and relative accuracies, they are compared with detailed BBN calculations; their utility is illustrated with several examples. Given the tension within BBN, these fits should prove useful in facilitating studies of the viability of various options for non-standard physics and cosmology, prior to undertaking detailed BBN calculations.
Language: English
Open Access status: gold
Estimated APC paid: $2,610
OpenAlex ID: W2081904356
FWCI: 3.182
Cites: 41
Cited by: 95
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