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The $^3{\rm H}(d,n)^4{\rm He}$ reaction is of significant interest in nuclear astrophysics and nuclear applications. It is an important, early step in big-bang nucleosynthesis and a key process in nuclear fusion reactors. We use one- and…

Nuclear Theory · Physics 2022-02-09 Daniel Odell , Carl Brune , Daniel Phillips

Consistent experiment data are crucial to adjust parameters of physics models and to determine best estimates of observables. However, often experiment data are not consistent due to unrecognized systematic errors. Standard methods of…

Nuclear Theory · Physics 2018-03-05 Georg Schnabel

Accurate prediction of fragmentation cross sections is essential for rare-isotope beam production, planning new-isotope searches, and designing experiments to study the most exotic regions of the nuclear chart. However, existing reaction…

Nuclear Experiment · Physics 2026-03-12 O. B. Tarasov

The $^3$He($\alpha$,$\gamma$)$^7$Be reaction plays a major role both in the BBN producing the majority of the primordial $^7$Li, and in the pp-chain, where it is the branching point. As a few-nucleon system, this reaction is often used to…

Nuclear Experiment · Physics 2023-08-16 Á. Tóth , T. Szücs , T. N. Szegedi , Gy. Gyürky , Z. Halász , G. G. Kiss , Zs. Fülöp

The BayesBinMix package offers a Bayesian framework for clustering binary data with or without missing values by fitting mixtures of multivariate Bernoulli distributions with an unknown number of components. It allows the joint estimation…

Computation · Statistics 2017-07-03 Panagiotis Papastamoulis , Magnus Rattray

This article describes an original approach to analyze simultaneously cross sections and surrogate data measurements using efficient Monte Carlo extended $\mathcal{R}$-matrix theory algorithm based on unique set of nuclear structure…

Nuclear Theory · Physics 2020-01-01 O. Bouland , B. Jurado

Bayesian networks are graphical models to represent the probabilistic relationships between variables in the Bayesian framework. The knowledge of all variables can be updated using new information about some of the variables. We show that…

Data Analysis, Statistics and Probability · Physics 2021-10-22 Georg Schnabel , Roberto Capote , Arjan Koning , David Brown

A Monte Carlo-based Bayesian inference model is applied to the prediction of reactor operation parameters of a PWR nuclear power plant. In this non-perturbative framework, high-dimensional covariance information describing the uncertainty…

The $^7$Li(p,n)$^7$Be reaction is widely used as neutron source for neutron induced reaction cross section measurements, and for $^7$Be radioactive source production. There are two prominent structures in the excitation function, a narrow…

Nuclear Experiment · Physics 2023-11-06 Á. Tóth , Gy. Gyürky , E. Papp , T. Szücs

Neutron-induced nuclear reaction data on beryllium playing a crucial role in nuclear application. However, discrepancies have been observed in two closely related series of beryllium-reflector fast-spectrum critical benchmark experiments,…

Applied Physics · Physics 2025-07-18 Shengli Chen , Tianxiang Wang

Our collective knowledge of nuclear cross sections is recorded as resonance parameters in nuclear data libraries. To evaluate these parameters, campaigns of measurements are fitted with a parametric model of nuclear cross sections called…

Nuclear Theory · Physics 2020-10-22 Pablo Ducru , Vladimir Sobes , Benoit Forget , Mark Paris , Gerald Hale

The Be isotopic measurements preliminarily reported by the AMS-02 Collaboration have reached an unprecedented energy of 12 GeV/$n$. As secondary cosmic rays (CRs), the Be isotopes include both stable and unstable species, which are crucial…

High Energy Astrophysical Phenomena · Physics 2024-02-08 Meng-Jie Zhao , Xiao-Jun Bi , Kun Fang , Peng-Fei Yin

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…

Recent activity in solving the 'lithium problem' in big bang nucleosynthesis has focused on the role that putative resonances may play in resonance-enhanced destruction of 7Li. Particular attention has been paid to the reactions involving…

Nuclear Theory · Physics 2013-04-17 Mark W. Paris , Gerald M. Hale , Anna C. Hayes-Sterbenz , Gerard Jungman

Being able to rigorously quantify the uncertainties in reaction models is crucial to moving this field forward. Even though Bayesian methods are becoming increasingly popular in nuclear theory, they are yet to be implemented and applied in…

Nuclear Theory · Physics 2018-07-18 A. E. Lovell , F. M. Nunes

In the event of a nuclear accident, or the detonation of a radiological dispersal device, quickly locating the source of the accident or blast is important for emergency response and environmental decontamination. At a specified time after…

Machine Learning · Computer Science 2025-02-26 Christopher Edwards , Ralph C Smith

We propose a novel framework for joint magnetic resonance image reconstruction and uncertainty quantification using under-sampled k-space measurements. The problem is formulated as a Bayesian linear inverse problem, where prior…

Image and Video Processing · Electrical Eng. & Systems 2026-03-17 Ahmed Karam Eldaly , Matteo Figini , Daniel C. Alexander

Global and national efforts to deliver high-quality nuclear data to users have a broad impact across applications such as national security, reactor operation, basic science, medical fields, and more. Cross section evaluation is a large…

Computational Physics · Physics 2025-05-08 Noah A. W. Walton , Oleksii Zivenko , William Fritsch , Jacob Forbes , Amanda Lewis , Jesse Brown , Vlad Sobes

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…

Solar and Stellar Astrophysics · Physics 2016-11-09 Christian Iliadis , Kevin Anderson , Alain Coc , Frank Timmes , Sumner Starrfield

Reduced-rank regression recognises the possibility of a rank-deficient matrix of coefficients. We propose a novel Bayesian model for estimating the rank of the coefficient matrix, which obviates the need for post-processing steps and allows…

Methodology · Statistics 2024-02-14 Maria F. Pintado , Matteo Iacopini , Luca Rossini , Alexander Y. Shestopaloff
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