Low-energy fusion cross sections of D + D and D + 3He reactions

Krauß, A.; Becker, H.W.; Trautvetter, H. P.; Rolfs, C.; Brand, K. D.

doi:10.1016/0375-9474(87)90302-2

Cited by 206 publications

(154 citation statements)

References 31 publications

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“…The SKM errors were based on an apparent discrepancy between these data and those of Krauss et al [39]. Brown and Jarmie make a similar assessment of the situation, and recommend renormalizing the Krauss et al data to their more precise data (which we do not do).…”

Section: D(d N) 3 Hementioning

confidence: 89%

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Estimating reaction rates and uncertainties for primordial nucleosynthesis

2000

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We present a Monte Carlo method for direct incorporation of nuclear inputs in primordial nucleosynthesis calculations. This method is intended to remedy shortcomings of current error estimation, by eliminating intermediate data evaluations and working directly with experimental data, allowing error estimation based solely on published experimental uncertainties. This technique also allows simple incorporation of new data and reduction of errors with the introduction of more precise data. Application of our method indicates that previous error estimates on the calculated abundances were too large by as much as a factor of three. Since uncertainties in the BBN calculation currently dominate inferences drawn from light-element abundances, the re-estimated errors have important consequences for cosmic baryon density, neutrino physics, and lithium depletion in halo stars. Our direct method allows detailed discussion of the status of the nuclear inputs, by identifying clearly the places where improved cross section measurements would be most useful. 26.35.+c, 98.80.Ft

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Section: D(d N) 3 Hementioning

confidence: 89%

“…Other data used for this reaction are from Refs. [39] and [60][61][62]. The lowenergy data of Schröder et al [63], intended to probe electron screening, were omitted here because they did not measure the absolute cross section.…”

Section: He(d P) 4 Hementioning

confidence: 99%

Estimating reaction rates and uncertainties for primordial nucleosynthesis

2000

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“…Consequently, we took only data points below an energy of 0.6 MeV into account in our Bayesian model. Greife et al (1995) (diamonds), Brown et al (1990) (squares), Krauss et al (1987) (B) (down-pointing triangles) and Krauss et al (1987) (M) (up-pointing triangles). The error bars (1σ) refer to statistical uncertainties only.…”

Section: Strategy: Bayesian Statistics and Mcmcmentioning

confidence: 99%

“…We used the software JAGS ("Just Another Gibbs Sampler") (Plummer 2003), specifically the rjags package, withing the R language (R Core Team 2015). The inputs for the program are the experimental data (Brown et al 1990;Greife et al 1995;Krauss et al 1987;Leonard et al 2006) 1 , the theoretical nuclear model we want to scale, and the prior distributions of the model parameters (i.e., the scale factor of the theoretical Sfactor curve and the normalization factors of each data set). The way of constructing the Markov chain in this project is by a Metropolis-Hastings algorithm.…”

Section: Strategy: Bayesian Statistics and Mcmcmentioning

confidence: 99%

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Bayesian Estimation of Thermonuclear Reaction Rates for Deuterium+Deuterium Reactions

Iñesta

Iliadis

Coc

2017

ApJ

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Complete determination of the transition amplitudes from a comprehensive data analysis of the fusion reactions D(d,p)³H and D(d,n)³He for E_d<500 keV

Lemaı̂tre

Schieck

1993

Annalen der Physik

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All relevant low-energy transition amplitudes for the D(d,n)'He and D(4p)'H reactions were determined from a fit to Legendre expansion coefficients of the available experimental data. A simple barrier penetrability model was used. Quintet S-wave transitions are found to contribute strongly thus obliterating the idea of neutron-lean "polarized" fusion energy production. The D + D interaction radius was determined with good accuracy for both reactions individudly. The astrophysical S functions show a small S-wave enhancement and Fwave suppression of the D (~f , p )~I f branch. Apart from possible applications the investigation of the D+D reactionswhich have received special interest from the beginning of nuclear reaction studiesis of interest in itself: the four-nucleon system is the lightest one exhibiting excited states. With the advent of faster computers and with the successes of rigorous theoretical calculations in the three-nucleon system e.g. 111 using modern meson-exchange potentials [2, 3, 4, 51 there is hope for realistic microscopic calculations (such as those based on Faddeev theory) also for this system, see e.g. [6]. The observed differences for the two branches of this system with identical particles in the entrance channel lend themselves to studies of the role of Coulomb interaction in the exit channel and possible charge-symmetry breaking effects. Comprehensive surveys of the four-nucleon system have been published recently [7, 81.On the other hand these fusion reactions play a role in nuclear astrophysics and furthermore they accompany the main reactions in planned light-particle fusion reactors. The economically advantageous concept of "neutron-lean" fusion energy production by using the 3He(d,p)4He reaction would only be realizable if the accompanying neutrons from the D(d,n)3He reaction could be suppressed. For this purpose the use of polarized "fuel" has been suggested where the neutron production via the entrancechannel spin-quintet states was assumed to be strongly suppressed [9, 101. This concept has been contradicted by some authors [11, 121 and will also be studied in this work.

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Low-energy fusion cross sections of D + D and D + 3He reactions

Cited by 206 publications

References 31 publications

Estimating reaction rates and uncertainties for primordial nucleosynthesis

Estimating reaction rates and uncertainties for primordial nucleosynthesis

Bayesian Estimation of Thermonuclear Reaction Rates for Deuterium+Deuterium Reactions

Complete determination of the transition amplitudes from a comprehensive data analysis of the fusion reactions D(d,p)³H and D(d,n)³He for E_d<500 keV

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Low-energy fusion cross sections of D + D and D + 3He reactions

Cited by 206 publications

References 31 publications

Estimating reaction rates and uncertainties for primordial nucleosynthesis

Estimating reaction rates and uncertainties for primordial nucleosynthesis

Bayesian Estimation of Thermonuclear Reaction Rates for Deuterium+Deuterium Reactions

Complete determination of the transition amplitudes from a comprehensive data analysis of the fusion reactions D(d,p)3H and D(d,n)3He for Ed<500 keV

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Product

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Complete determination of the transition amplitudes from a comprehensive data analysis of the fusion reactions D(d,p)³H and D(d,n)³He for E_d<500 keV