Verification of R-matrix calculations for charged-particle reactions in the resolved resonance region for the 7Be system

Thompson, I. J.; deBoer, R. J.; Dimitriou, P.; Kunieda, Satoshi; Pigni, Marco T.; Arbanas, Goran; Leeb, H.; Srdinko, Th.; Hale, Gerald M.; Tamagno, Pierre; Archier, P.

doi:10.1140/epja/i2019-12753-y

Cited by 23 publications

(20 citation statements)

References 33 publications

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“…We would like to emphasize that the relative errors here are the numerical errors from solving the Bloch-Schrödinger equations and do not include the truncation errors from the partial-wave truncations. The latter are found to be around 10 −8 -10 −3 for E ∈ [3,10] MeV.…”

Section: Numerical Resultsmentioning

confidence: 92%

Generalizing the calculable $R$-matrix theory and eigenvector continuation to the incoming wave boundary condition

Bai,

Ren

2021

Preprint

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The calculable R-matrix theory has been formulated successfully for regular boundary conditions with vanishing radial wave functions at the coordinate origins [P. Descouvemont and D. Baye, Rept. Prog. Phys. 73, 036301 (2010)]. We generalize the calculable R-matrix theory to the incoming wave boundary condition (IWBC), which is widely used in theoretical studies of low-energy heavy-ion fusion reactions to simulate the strong absorption of incoming flux inside the Coulomb barriers. The generalized calculable R-matrix theory also provides a natural starting point to extend eigenvector continuation (EC) [D. Frame et al., Phys. Rev. Lett. 121, 032501 (2018)] to fusion observables. The 14 N + 12 C fusion reaction is taken as an example to validate these new theoretical tools. Both local and nonlocal potentials are considered in numerical calculations. Our generalizations of the calculable R-matrix theory and EC are found to work well for IWBC.

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Section: Numerical Resultsmentioning

confidence: 92%

Generalizing the calculable $R$-matrix theory and eigenvector continuation to the incoming wave boundary condition

Bai,

Ren

2021

Preprint

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“…An updated analysis should include all of this previous data and also take into account the results of the new measurements, in particular those that have provided new information on the properties of the near threshold state. This is a major undertaking and emphasizes the need for further documentation and reproducibility of these types of large scale R-matrix projects with publicly available and bench-marked codes [53].…”

Section: Discussionmentioning

confidence: 99%

Sensitivity of the C13(α,n)O16S factor to

et al. 2020

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The 13 C(α, n) 16 O reaction is the main source of neutrons for the s and i processes in asymptotic giant branch stars and carbon enhanced metal poor stars respectively. The reaction rate over the relevant temperature range from 0.1 to 0.3 GK translates into a center-of-mass energy range of 150 to 540 keV. Current measurements extend down to 300 keV, still requiring an extrapolation of the cross section. At these low energies, the high energy tail of a 1/2 + state near the reaction threshold makes a significant contribution to the cross section, but its amplitude is still highly uncertain. In this paper the uncertainties associated with the low energy cross section extrapolation are investigated, in particular the sensitivity to the energy, width, and Coulomb re-normalized asymptotic normalization coefficient of the near threshold resonance. Recently it has been suggested that the energy of the near threshold level may have a large impact on the extrapolation, but this is not found to be the case compared to the other sources of uncertainty.

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“…Several developments were necessary, namely for computing penetration factors with accurate Coulomb functions [52]. An example of such an analysis is given in Figure 13, where both 6 Li and 3 He data were analyzed for the compound nucleus 7 Be formation [53].…”

Section: Charged Particles and Compound Nucleus Representation Of Nuclear Reactionsmentioning

confidence: 99%

CONRAD – a code for nuclear data modeling and evaluation

Jean

Tamagno

Archier

et al. 2021

EPJ Nuclear Sci. Technol.

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The CONRAD code is an object-oriented software tool developed at CEA since 2005. It aims at providing nuclear reaction model calculations, data assimilation procedures based on Bayesian inference and a proper framework to treat all uncertainties involved in the nuclear data evaluation process: experimental uncertainties (statistical and systematic) as well as model parameter uncertainties. This paper will present the status of CONRAD-V1 developments concerning the theoretical and evaluation aspects. Each development is illustrated with examples and calculations were validated by comparison with existing codes (SAMMY, REFIT, ECIS, TALYS) or by comparison with experiment. At the end of this paper, a general perspective for CONRAD (concerning the evaluation and theoretical modules) and actual developments will be presented.

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Verification of R-matrix calculations for charged-particle reactions in the resolved resonance region for the 7Be system

Cited by 23 publications

References 33 publications

Generalizing the calculable $R$-matrix theory and eigenvector continuation to the incoming wave boundary condition

Generalizing the calculable $R$-matrix theory and eigenvector continuation to the incoming wave boundary condition

Sensitivity of the C13(α,n)O16S factor to

CONRAD – a code for nuclear data modeling and evaluation

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