Statistical methods for thermonuclear reaction rates and nucleosynthesis simulations

Christian Iliadis, Richard Longland, Alain Coc, Francis Timmes, Art E. Champagne

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

Rigorous statistical methods for estimating thermonuclear reaction rates and nucleosynthesis are becoming increasingly established in nuclear astrophysics. The main challenge being faced is that experimental reaction rates are highly complex quantities derived from a multitude of different measured nuclear parameters (e.g., astrophysical S-factors, resonance energies and strengths, particle and γ-ray partial widths). We discuss the application of the Monte Carlo method to two distinct, but related, questions. First, given a set of measured nuclear parameters, how can one best estimate the resulting thermonuclear reaction rates and associated uncertainties? Second, given a set of appropriate reaction rates, how can one best estimate the abundances from nucleosynthesis (i.e., reaction network) calculations? The techniques described here provide probability density functions that can be used to derive statistically meaningful reaction rates and final abundances for any desired coverage probability. Examples are given for applications to s-process neutron sources, core-collapse supernovae, classical novae, and Big Bang nucleosynthesis.

Original languageEnglish (US)
Article number034007
JournalJournal of Physics G: Nuclear and Particle Physics
Volume42
Issue number3
DOIs
StatePublished - Mar 1 2015

Fingerprint

thermonuclear reactions
nuclear fusion
reaction kinetics
simulation
nuclear astrophysics
novae
neutron sources
estimates
probability density functions
Monte Carlo method
supernovae
rays
astrophysics
estimating

Keywords

  • Monte Carlo
  • nucleosynthesis
  • statistical methods
  • stellar models
  • thermonuclear reaction rates

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Statistical methods for thermonuclear reaction rates and nucleosynthesis simulations. / Iliadis, Christian; Longland, Richard; Coc, Alain; Timmes, Francis; Champagne, Art E.

In: Journal of Physics G: Nuclear and Particle Physics, Vol. 42, No. 3, 034007, 01.03.2015.

Research output: Contribution to journalArticle

Iliadis, Christian ; Longland, Richard ; Coc, Alain ; Timmes, Francis ; Champagne, Art E. / Statistical methods for thermonuclear reaction rates and nucleosynthesis simulations. In: Journal of Physics G: Nuclear and Particle Physics. 2015 ; Vol. 42, No. 3.
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