Improved formulas for fusion cross-sections and thermal reactivities

Bosch, H.‐S.; Hale, Gerald M.

doi:10.1088/0029-5515/32/4/i07

Cited by 738 publications

(554 citation statements)

References 67 publications

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“…Within this approach, interference effects between resonances could be easily included. The theoretical results agree very well with experimental data obtained for usual materials and width multichannel R-matrix theory [11]. To explain the experimental data obtained for unusual materials, it was necessary to include a new 0 + threshold resonance.…”

Section: Introductionsupporting

confidence: 80%

Material dependence of²H(d,p)³H cross section at the very low energies

et al. 2017

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Abstract.Calculations of the material dependence of 2 H(d,p) 3 H cross section and neutron-to-proton branching ratio of d+d reactions have been performed including a concept of the 0 + threshold single particle resonance. The resonance has been assumed to explain the enhanced electron screening effect observed in the d+d reaction for different metallic targets. Here, we have included interference effects between the flat and resonance part of the cross section, which allowed us to enlighten observed suppression of the neutron channel in some metals such as Sr and Li. Since the position of the resonance depends on the screening energy that strongly depends on the local electron density. The resonance width, observed for the d+d reactions in the very hygroscopic metals (Sr and Li) and therefore probably contaminated by oxides, should be much larger than for other metals. Thus, the interference term of the cross section depending on the total resonance width provides the material dependences.

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Section: Introductionsupporting

confidence: 80%

Material dependence of²H(d,p)³H cross section at the very low energies

et al. 2017

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“…2 the measured neutron rates with the calculated ones with cross-sections given in Ref. [11]. In Fig.…”

Section: -2mentioning

confidence: 78%

RF heating for fusion product studies

2015

AIP Conference Proceedings

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Third harmonic cyclotron heating is an effective tool for accelerating deuterium (D) beams to the MeV energy range, suitable for studying ITER relevant fast particle physics in plasmas without significant tritium content. Such experiments were recently conducted in JET with an ITER like wall in D plasmas with 3He concentrations up to 30% in order to boost the fusion reactivity by D-3He reactions. The harmonic cyclotron heating produces high-energy tails in the MeV range of D ions by on-axis heating and of 3He ions by tangential off-axis heating. The discharges are characterized by long sawtooth free periods and a rich spectrum of MHD modes excited by the fast D and 3He ions. The partitions of the power, which depend on the distribution function of D, vary strongly over several slowing down times. Self-consistent modelling of the distribution function with the SELFO-light code are presented and compared with experimental data from fast particle diagnostics.This work has been carried out within the framework of the EUROfusion Consortium and has received funding from the Euratom research and training programme 2014-2018 under grant agreement No 633053. The views and opinions expressed herein do not necessarily reflect those of the European Commission.Peer ReviewedPostprint (published version

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“…It has a χ 2 per degree of freedom of 0.784. The dashed (red) curve is based on the cross section of Bosch and Hale [34] . The multilevel, multichannel R-matrix analysis of the 5 He system on which the Bosch and Hale cross sections are based includes data for nα and dt elastic scattering, in addition to those for the associated inelastic reactions, at energies equivalent to a laboratory deuteron energy up to 11 MeV.…”

Section: Effective Field Theory Of Dt → Nαmentioning

confidence: 99%

Toward a self-consistent and unitary reaction network for big-bang nucleosynthesis

Paris

Brown

Hale

et al. 2014

EPJ Web of Conferences

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Abstract. Unitarity, the mathematical expression of the conservation of probability in multichannel reactions, is an essential ingredient in the development of accurate nuclear reaction networks appropriate for nucleosynthesis in a variety of environments. We describe our ongoing program to develop a "unitary reaction network" for the big-bang nucleosynthesis environment and look at an example of the need and power of unitary parametrizations of nuclear scattering and reaction data. Recent attention has been focused on the possible role of the 9 B compound nuclear system in the resonant destruction of 7 Li during primordial nucleosynthesis. We have studied reactions in the 9 B compound system with a multichannel, two-body unitary R-matrix code (EDA) using the known elastic and reaction data, in a four-channel treatment. The data include elastic 6 Li( 3 He, 3 He) 6 Li differential cross sections from 0.7 to 2.0 MeV, integrated reaction cross sections for energies from 0.7 to 5.0 MeV for 6 Li( 3 He,p) 8 Be* and from 0.4 to 5.0 MeV for the 6 Li( 3 He,d) 7 Be reaction. Capture data have been added to the previous analysis with integrated cross section measurements from 0.7 to 0.825 MeV for 6 Li( 3 He,γ) 9 B. The resulting resonance parameters are compared with tabulated values from TUNL Nuclear Data Group analyses. Previously unidentified resonances are noted and the relevance of this analysis and a unitary reaction network for big-bang nucleosynthesis are emphasized.

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Improved formulas for fusion cross-sections and thermal reactivities

Cited by 738 publications

References 67 publications

Material dependence of²H(d,p)³H cross section at the very low energies

Material dependence of²H(d,p)³H cross section at the very low energies

RF heating for fusion product studies

Toward a self-consistent and unitary reaction network for big-bang nucleosynthesis

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Improved formulas for fusion cross-sections and thermal reactivities

Cited by 738 publications

References 67 publications

Material dependence of2H(d,p)3H cross section at the very low energies

Material dependence of2H(d,p)3H cross section at the very low energies

RF heating for fusion product studies

Toward a self-consistent and unitary reaction network for big-bang nucleosynthesis

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Material dependence of²H(d,p)³H cross section at the very low energies

Material dependence of²H(d,p)³H cross section at the very low energies