BAYESIAN ESTIMATION of THERMONUCLEAR REACTION RATES

C. Iliadis, K. S. Anderson, A. Coc, Francis Timmes, Sumner Starrfield

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The problem of estimating non-resonant astrophysical S-factors and thermonuclear reaction rates, based on measured nuclear cross sections, is of major interest for nuclear energy generation, neutrino physics, and element synthesis. Many different methods have been applied to this problem in the past, almost all of them based on traditional statistics. Bayesian methods, on the other hand, are now in widespread use in the physical sciences. In astronomy, for example, Bayesian statistics is applied to the observation of extrasolar planets, gravitational waves, and Type Ia supernovae. However, nuclear physics, in particular, has been slow to adopt Bayesian methods. We present astrophysical S-factors and reaction rates based on Bayesian statistics. We develop a framework that incorporates robust parameter estimation, systematic effects, and non-Gaussian uncertainties in a consistent manner. The method is applied to the reactions d(p,γ)3He, 3He(3He,2p)4He, and 3He(α;,γ)7Be, important for deuterium burning, solar neutrinos, and Big Bang nucleosynthesis.

Original languageEnglish (US)
Article number107
JournalAstrophysical Journal
Volume831
Issue number1
DOIs
StatePublished - Nov 1 2016

Fingerprint

Bayes theorem
astrophysics
reaction kinetics
thermonuclear reactions
physical sciences
solar neutrinos
extrasolar planets
nuclear physics
nuclear energy
nuclear fusion
astronomy
reaction rate
gravitational waves
supernovae
deuterium
estimating
neutrinos
statistics
physical science
physics

Keywords

  • abundances
  • methods: numerical
  • nuclear reactions
  • nucleosynthesis
  • primordial nucleosynthesis
  • stars: interiors

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

Cite this

BAYESIAN ESTIMATION of THERMONUCLEAR REACTION RATES. / Iliadis, C.; Anderson, K. S.; Coc, A.; Timmes, Francis; Starrfield, Sumner.

In: Astrophysical Journal, Vol. 831, No. 1, 107, 01.11.2016.

Research output: Contribution to journalArticle

Iliadis, C. ; Anderson, K. S. ; Coc, A. ; Timmes, Francis ; Starrfield, Sumner. / BAYESIAN ESTIMATION of THERMONUCLEAR REACTION RATES. In: Astrophysical Journal. 2016 ; Vol. 831, No. 1.
@article{148c2348ad3e42479aa78a79a20d8500,
title = "BAYESIAN ESTIMATION of THERMONUCLEAR REACTION RATES",
abstract = "The problem of estimating non-resonant astrophysical S-factors and thermonuclear reaction rates, based on measured nuclear cross sections, is of major interest for nuclear energy generation, neutrino physics, and element synthesis. Many different methods have been applied to this problem in the past, almost all of them based on traditional statistics. Bayesian methods, on the other hand, are now in widespread use in the physical sciences. In astronomy, for example, Bayesian statistics is applied to the observation of extrasolar planets, gravitational waves, and Type Ia supernovae. However, nuclear physics, in particular, has been slow to adopt Bayesian methods. We present astrophysical S-factors and reaction rates based on Bayesian statistics. We develop a framework that incorporates robust parameter estimation, systematic effects, and non-Gaussian uncertainties in a consistent manner. The method is applied to the reactions d(p,γ)3He, 3He(3He,2p)4He, and 3He(α;,γ)7Be, important for deuterium burning, solar neutrinos, and Big Bang nucleosynthesis.",
keywords = "abundances, methods: numerical, nuclear reactions, nucleosynthesis, primordial nucleosynthesis, stars: interiors",
author = "C. Iliadis and Anderson, {K. S.} and A. Coc and Francis Timmes and Sumner Starrfield",
year = "2016",
month = "11",
day = "1",
doi = "10.3847/0004-637X/831/1/107",
language = "English (US)",
volume = "831",
journal = "Astrophysical Journal",
issn = "0004-637X",
publisher = "IOP Publishing Ltd.",
number = "1",

}

TY - JOUR

T1 - BAYESIAN ESTIMATION of THERMONUCLEAR REACTION RATES

AU - Iliadis, C.

AU - Anderson, K. S.

AU - Coc, A.

AU - Timmes, Francis

AU - Starrfield, Sumner

PY - 2016/11/1

Y1 - 2016/11/1

N2 - The problem of estimating non-resonant astrophysical S-factors and thermonuclear reaction rates, based on measured nuclear cross sections, is of major interest for nuclear energy generation, neutrino physics, and element synthesis. Many different methods have been applied to this problem in the past, almost all of them based on traditional statistics. Bayesian methods, on the other hand, are now in widespread use in the physical sciences. In astronomy, for example, Bayesian statistics is applied to the observation of extrasolar planets, gravitational waves, and Type Ia supernovae. However, nuclear physics, in particular, has been slow to adopt Bayesian methods. We present astrophysical S-factors and reaction rates based on Bayesian statistics. We develop a framework that incorporates robust parameter estimation, systematic effects, and non-Gaussian uncertainties in a consistent manner. The method is applied to the reactions d(p,γ)3He, 3He(3He,2p)4He, and 3He(α;,γ)7Be, important for deuterium burning, solar neutrinos, and Big Bang nucleosynthesis.

AB - The problem of estimating non-resonant astrophysical S-factors and thermonuclear reaction rates, based on measured nuclear cross sections, is of major interest for nuclear energy generation, neutrino physics, and element synthesis. Many different methods have been applied to this problem in the past, almost all of them based on traditional statistics. Bayesian methods, on the other hand, are now in widespread use in the physical sciences. In astronomy, for example, Bayesian statistics is applied to the observation of extrasolar planets, gravitational waves, and Type Ia supernovae. However, nuclear physics, in particular, has been slow to adopt Bayesian methods. We present astrophysical S-factors and reaction rates based on Bayesian statistics. We develop a framework that incorporates robust parameter estimation, systematic effects, and non-Gaussian uncertainties in a consistent manner. The method is applied to the reactions d(p,γ)3He, 3He(3He,2p)4He, and 3He(α;,γ)7Be, important for deuterium burning, solar neutrinos, and Big Bang nucleosynthesis.

KW - abundances

KW - methods: numerical

KW - nuclear reactions

KW - nucleosynthesis

KW - primordial nucleosynthesis

KW - stars: interiors

UR - http://www.scopus.com/inward/record.url?scp=84994202017&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84994202017&partnerID=8YFLogxK

U2 - 10.3847/0004-637X/831/1/107

DO - 10.3847/0004-637X/831/1/107

M3 - Article

AN - SCOPUS:84994202017

VL - 831

JO - Astrophysical Journal

JF - Astrophysical Journal

SN - 0004-637X

IS - 1

M1 - 107

ER -