Quantifying uncertainties in primordial nucleosynthesis without Monte Carlo simulations

Astronomy and Astrophysics – Astrophysics

Scientific paper

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22 pages (RevTeX) incl. 8 figures (epsf); Changes: Figs. 5 & 6 combined + typo in Footnote 1 corrected + several stylistic cha

Scientific paper

10.1103/PhysRevD.58.063506

We present a simple method for determining the (correlated) uncertainties of the light element abundances expected from big bang nucleosynthesis, which avoids the need for lengthy Monte Carlo simulations. Our approach helps to clarify the role of the different nuclear reactions contributing to a particular elemental abundance and makes it easy to implement energy-independent changes in the measured reaction rates. As an application, we demonstrate how this method simplifies the statistical estimation of the nucleon-to-photon ratio through comparison of the standard BBN predictions with the observationally inferred abundances.

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