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Optical-model potentials (OMPs) are critical ingredients for basic and applied nuclear physics. Present-day computational capabilities allow us to generate data-driven nucleon-nucleus OMPs that are non-local and exactly dispersive (as…

Although uncertainty quantification has been making its way into nuclear theory, these methods have yet to be explored in the context of reaction theory. For example, it is well known that different parameterizations of the optical…

Nuclear Theory · Physics 2017-03-01 A. E. Lovell , F. M. Nunes , J. Sarich , S. M. Wild

Background: Analyses of elastic scattering with the optical model (OMP) are widely used in nuclear reactions. Purpose: Previous work compared a traditional frequentist approach and a Bayesian approach to quantify uncertainties in the OMP.…

Nuclear Theory · Physics 2024-03-04 C. D. Pruitt , A. E. Lovell , C. Hebborn , F. M. Nunes

Background: Uncertainty quantification for nuclear theories has gained a more prominent role in the field, with more and more groups attempting to understand the uncertainties on their calculations. However, recent studies have shown that…

Nuclear Theory · Physics 2021-12-03 M. Catacora-Rios , G. B. King , A. E. Lovell , F. M. Nunes

Background: Recent high-precision measurements of alpha-induced reaction data below the Coulomb barrier have pointed out questions of the alpha-particle optical-model potential (OMP) which are yet open within various mass ranges. Purpose:…

Nuclear Theory · Physics 2016-09-07 V. Avrigeanu , M. Avrigeanu

In the analysis of elastic-scattering experimental data, optical-model parameters (usually, depths of real and imaginary potentials) are fitted and conclusions are drawn analyzing their variations at bombardment energies close to the…

Nuclear Experiment · Physics 2015-03-16 Daniel Abriola , A. Arazi , J. Testoni , F. Gollan , G. V. Martí

Background: Further studies of high-precision measurements of alpha-induced reaction data below the Coulomb barrier have still raised questions about the alpha-particle optical model potential (OMP) within various mass ranges, i.e. for…

Nuclear Theory · Physics 2019-04-30 V. Avrigeanu , M. Avrigeanu

Uncertainty quantification has become increasingly more prominent in nuclear physics over the past several years. In few-body reaction theory, there are four main sources that contribute to the uncertainties in the calculated observables:…

Nuclear Theory · Physics 2020-12-17 A. E. Lovell , F. M. Nunes , M. Catacora-Rios , G. B. King

The coupled-channel theory is a natural way of treating nonelastic channels, in particular those arising from collective excitations characterized by nuclear deformations. A proper treatment of such excitations is often essential to the…

Nuclear Theory · Physics 2015-03-13 G. P. A. Nobre , A. Palumbo , F. S. Dietrich , M. Herman , D. Brown , S. Hoblit

ML models have errors when used for predictions. The errors are unknown but can be quantified by model uncertainty. When multiple ML models are trained using the same training points, their model uncertainties may be statistically…

Machine Learning · Statistics 2025-09-23 Xiaoping Du

The optical potential is a powerful instrument for calculations on a wide variety of nuclear reactions, in particular, for quasi-elastic lepton-nucleus scattering. Phenomenological optical potentials are successful in the description of…

Nuclear Theory · Physics 2017-07-13 Carlotta Giusti

A substantial fraction of systematic uncertainties in neutrino oscillation experiments stem from the lack of precision in modeling the nuclear target in neutrino-nucleus interactions. Whilst this has driven significant progress in the…

High Energy Physics - Experiment · Physics 2025-01-15 J. Chakrani , S. Dolan , M. Buizza Avanzini , A. Ershova , L. Koch , K. McFarland , G. D. Megias , L. Munteanu , L. Pickering , K. Skwarczynski , V. Q. Nguyen , C. Wret

Reliable uncertainty quantification (UQ) is essential for developing machine-learned interatomic potentials (MLIPs) in predictive atomistic simulations. Conformal prediction (CP) is a statistical framework that constructs prediction…

Chemical Physics · Physics 2025-10-02 Cheuk Hin Ho , Christoph Ortner , Yangshuai Wang

We take the first step towards incorporating compound nuclear observables at astrophysically relevant energies into the experimental evidence used to constrain optical models, by propagating the uncertainty in two global optical potentials,…

Nuclear Theory · Physics 2025-03-27 Kyle A. Beyer , Amy E. Lovell , Cole D. Pruitt , Nathan P. Giha , Brian C. Kiedrowski

The uncertainty quantifications of theoretical results are of great importance to make meaningful comparisons of those results with experimental data and to make predictions in experimentally unknown regions. By quantifying uncertainties,…

Nuclear Theory · Physics 2018-12-10 Sota Yoshida , Noritaka Shimizu , Tomoaki Togashi , Takaharu Otsuka

One-neutron knockout reactions have been widely used to extract information about the single-particle structure of nuclei from the valley of stability to the driplines. The interpretation of knockout data relies on reaction models, where…

Nuclear Theory · Physics 2023-07-19 Chloë Hebborn , T. R. Whitehead , Amy E. Lovell , Filomena M. Nunes

Based on Monte Carlo approach and conventional error analysis theory, taking the heaviest doubly magic nucleus $^{208}$Pb as an example, we firstly evaluate the propagated uncertainties of universal potential parameters for three typical…

Nuclear Theory · Physics 2021-02-02 Zhen-Zhen Zhang , Hua-Lei Wang , Hai-Yan Meng , Min-Liang Liu

Inspired by the recent work by Dietrich et al., substantiating validity of the adiabatic assumption in coupled-channel calculations, we explore the possibility of generalizing a global spherical optical model potential (OMP) to make it…

Nuclear Theory · Physics 2015-06-17 M. Herman , G. P. A. Nobre , A. Palumbo , F. S. Dietrich , D. Brown , S. Hoblit

Machine-learning models of atomic-scale interactions achieve the accuracy of the quantum mechanical calculations on which they are trained, but at a dramatically lower computational cost. Their predictions can be made trustworthy by…

We propose a rigorous framework for Uncertainty Quantification (UQ) in which the UQ objectives and the assumptions/information set are brought to the forefront. This framework, which we call \emph{Optimal Uncertainty Quantification} (OUQ),…

Probability · Mathematics 2016-05-20 Houman Owhadi , Clint Scovel , Timothy John Sullivan , Mike McKerns , Michael Ortiz
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