Consultants’ Meeting on International Nuclear Data Evaluation Network for Light Elements (INDEN-LE)

18 Nov 2024, 10:00 → 22 Nov 2024, 17:00 Europe/Vienna

M0127 (IAEA Headquarters, Vienna)

Paraskevi DIMITRIOU (International Atomic Energy Agency)

This is the annual meeting of the INDEN-LE working group that is held to discuss progress in evaluations of charged-particle and neutron-induced reactions of light elements at low energies relevant to energy and non-energy applications. 

The main topics to be covered are: i) evaluation of ⁷Be system produced by charged-particle reactions, ii) evaluations of ¹⁰Be, ^15,16N, and ¹⁷O systems, and iii) (alpha,n) reactions at energies up to 9 MeV.

INDEN-LE (3) Meeting Report

INDEN-LE (4) Meeting Report

INDEN-LE (5) Meeting Report

INDEN-LE (6) Meeting Report

M building 1st floor - plan

Monday 18 November

Test 3: 7Be evaluation practical session

12:00 Lunch break

Welcome - Introduction

Convener: Dr Paraskevi DIMITRIOU (International Atomic Energy Agency)

1 Introduction and goals

Speaker: Dr Paraskevi DIMITRIOU (International Atomic Energy Agency)

INDEN-LE-2024-Vivian.pdf

Presentations I

2 Systematically evaluate Be7 using Reduced R-matrix theory

This report will briefly present the evaluation results of Be7, which focuses on how to make an evaluation database file for elastic scattering of charged particles, which includes the differential cross sections and their corresponding covariance matrices. We looked at three formats. The first is the tabular evaluation data, using 90 energy points and 180 angles, the advantage is that there is no interpolation at the time of invocation. The downside is that the file is particularly large, with hundreds of thousands of lines. The second scheme is to give the polynomial fit coefficient of the correlation coefficient and its covariance. It is to fit the angular distribution of the correlation coefficient of each pair of energies by a polynomial and obtain the polynomial coefficient and the corresponding covariance. Relative to the first method, the file size can be reduced by about 20 times. The disadvantage is that the error propagation formula is used to reconstruct the cross section and its covariance matrix. The third scheme is to give the polynomial fitting coefficients of the excitation functions and their covariances. It is to fit the excitation function with 180 angles and its covariance by polynomial, and obtain the polynomial coefficient and the corresponding covariance. Compared with the second method, the size of the file can be reduced by about 10 times. The disadvantage is that the error propagation formula is used to reconstruct the cross section and its covariance matrix. However, the construction formula is very simple and the calculation is very small. We present these recommendations for expert review.

Speakers: Jie Liu (Peking university), XU Han (China Academy of Engineering Physics)

RAC FIELS SENT TO IAEA.zip

Systematically Evaluation of 7Be System using Reduced R-Matrix Theory.pdf

3 Application of calculations in the 7Be system and further progress with the 17O system

I’ll discuss the state of my progress with the Test 2 fit for the 7Be system and my ideas for moving forward to test 3. I’ll also discuss its use in a publication this past year on the a proposed threshold resonance in the $^6$Li$(p,\gamma)$ reaction. I’ll also discuss R-matrix fitting of the $^{17}$O system, in particular progress with producing a revised reaction rate for the $^{13}$C$(\alpha,n)$ reaction and a new campaign of $(\alpha,n)$ measurements on light nuclei up to 8 MeV.

Speaker: Richard deBoer (University of Notre Dame)

deBoer_INDEN-LE_2024.pdf

4 R-matrix analysis of n+natCl reactions relevant to criticality safety benchmarks and molten-salt reactor designs

Speaker: Marco Pigni (Oak Ridge National Laboratory)

chlorine_inden.pdf

5 Status report on 19F(alpha,n) and 7Be

The status of the R-matrix analysis of 19F(alpha,n) and plans for 7Be will be given.

Speaker: Dr Paraskevi DIMITRIOU (International Atomic Energy Agency)

6 Comments on nuclear structure data

Speaker: John Kelley

TUNL_NS_24_New.pptx

Tuesday 19 November

Test 3: 7Be evaluation practical session

12:00 Lunch break

Presentations II

7 Review of experimental parameter marginalization methods for the production of covariance matrices

Nuclear data can be based experimental probes alone, however one could expect to predict extra non-measured quantities by using underlying models. Evaluation of nuclear data thus often consists in aggregating experimental information with theoretical models. The information transfer is performed though comparison between theoretical and empirical quantities of the same nature. One can either turn experimental quantities to be as close as possible of the theoretical model used to further produce the nuclear data of interest, or to add extra layers of the modeling side to make the connection the closest possible to raw independent recorded quantities. This latter case should avoid the occurrence of Peel’s Pertinent Puzzle. Extra layers of modeling imply parameters that are not involved in the production of the eventual nuclear data, which possible leads to underestimated uncertainties. Marginalization techniques are then used to somehow transfer the source of uncertainty from these extra “nuisance” parameters on the useful nuclear model parameters. Some of commonly used techniques are reviewed in this presentation.

Speaker: Pierre TAMAGNO (CEA)

ConservativeCov.pdf

8 Uncertainty Estimation for R-matrix Evaluations

In nuclear astrophysics, the accurate determination of nuclear reaction cross sections at astrophysical energies is critical for understanding stellar evolution and nucleosynthesis. This study focuses on the $^{12}$C($p, \gamma$)$^{13}$N reaction, which takes part in the CNO cycle and is significant for determining the $^{12}$C/$^{13}$C ratio in stellar interiors. Data from various studies, including recent LUNA measurements, reveal high discrepancies in cross section values, underscoring the need for robust fitting approaches. Utilizing the R-matrix theory, we compare different frequentist and Bayesian methodologies for estimating reaction cross sections and their uncertainties. The analysis evaluates the strengths and weaknesses of different statistical techniques, highlighting the importance of systematic uncertainty treatment and the estimate of covariance matrix estimation to enhance the reliability and reproducibility of uncertainty estimates in nuclear astrophysics.

Speaker: Jakub Skowronski (Università degli Studi di Padova)

Skowronski_Uncertainty_Estimation.pdf

9 BRICK and beyond: Bayesian analyses of low-energy 3He-4He data using R-matrix and Effective Field Theory

I will report on an R-matrix analysis of the recent low-energy data set of Paneru et al., together with older low-energy data and capture data, that uses the Bayesian R-matrix Inference Code Kit (BRICK).

If time permits I will contrast the R-matrix analysis with ongoing work on the same reactions in an effective field theory that exploits the clustering in this system to develop a systematic expansion for the quantum-mechanical amplitudes.

Speaker: Daniel Phillips (Ohio University)

IAEAWorkshop24_Phillips.pdf

10 R-matrix analysis of 8Be system

An accurate understanding of charged-particle induced reactions is important for both astrophysics and nuclear applications. Prompted by recent experimental measurements, an improved R-matrix analysis of the 8Be system is performed. This analysis is compared to existing ENDF evaluation, and discrepancies are discussed. Uncertainties in the R-matrix parameters and experimental cross sections are inferred using a Bayesian analysis method. The results of this work will be presented and discussed.

Speaker: Som Paneru (Los Alamos National Laboratory)

Dinner

Wednesday 20 November

Test 3: 7Be evaluation practical session

12:00 Lunch break

Roundtable discussion: Future of INDEN-LE and how to proceed

Thursday 21 November

Presentations III

Test 3: 7Be evaluation practical session

12:00 Lunch break

Discussion-drafting report

Friday 22 November

Discussion-drafting report