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We present an overview of the coupled-channels optical model and the Hauser-Feshbach theory code CoH$_3$, which focuses on the nuclear reaction calculations in the keV to tens of MeV region with special attention to the nuclear deformation.…

Nuclear Theory · Physics 2019-01-18 Toshihiko Kawano

We present an extension of the Levenberg-Marquardt algorithm for fitting multichannel nuclear cross section data. Our approach offers a practical and robust alternative to conventional trust-region methods for analyzing experimental data.…

Nuclear Theory · Physics 2025-09-15 M. Imbrišak , A. E. Lovell , M. R. Mumpower

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

Nuclear Astrophysics requires the knowledge of reaction rates over a wide range of nuclei and temperatures. In recent calculations the nuclear level density - as an important ingredient to the statistical model (Hauser-Feshbach) - has shown…

Astrophysics · Physics 2009-10-28 T. Rauscher , F. -K. Thielemann , K. -L. Kratz

The prediction of cross sections for nuclei far off stability is crucial in the field of nuclear astrophysics. We discuss the model mostly employed for such calculations: the statistical model (Hauser-Feshbach). Special emphasis is put on…

Astrophysics · Physics 2008-11-26 T. Rauscher , F. -K. Thielemann , K. -L. Kratz

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

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 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

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

We study nuclear reaction cross-sections for stable and unstable projectiles and targets within Glauber model, using densities obtained from various relativistic mean field formalisms. The calculated cross-sections are compared with the…

Nuclear Theory · Physics 2008-11-26 A. Shukla , B. K. Sharma , R. Chandra , P. Arumugam , S. K. Patra

Charge-exchange reactions are versatile probes for nuclear structure. In particular, when populating isobaric analog states, these reactions are used to study isovector nuclear densities and neutron skins. The quality of the information…

Nuclear Theory · Physics 2024-09-17 A. J. Smith , C. Hebborn , F. M. Nunes , R. G. T. Zegers

The use of high-dimensional regression techniques from machine learning has significantly improved the quantitative accuracy of interatomic potentials. Atomic simulations can now plausibly target quantitative predictions in a variety of…

Materials Science · Physics 2025-03-04 Danny Perez , Aparna P. A. Subramanyam , Ivan Maliyov , Thomas D. Swinburne

Characterizing uncertainty is a common issue in nuclear measurement and has important implications for reliable physical discovery. Traditional methods are either insufficient to cope with the heterogeneous nature of uncertainty or…

Data Analysis, Statistics and Probability · Physics 2022-03-01 Pengcheng Ai , Zhi Deng , Yi Wang , Chendi Shen

The Best Estimate plus Uncertainty (BEPU) approach for nuclear systems modeling and simulation requires that the prediction uncertainty must be quantified in order to prove that the investigated design stays within acceptance criteria. A…

Computation · Statistics 2023-03-24 Ziyu Xie , Farah Alsafadi , Xu Wu

Optical-model potentials (OMPs) continue to play a key role in nuclear reaction calculations. However, the uncertainty of phenomenological OMPs in widespread use -- inherent to any parametric model trained on data -- has not been fully…

Nuclear Theory · Physics 2023-01-06 C. D. Pruitt , J. E. Escher , R. Rahman

Inverse optimization (IO) is used to estimate unknown parameters of an optimization model from observed decisions. In the data-driven context, the estimated parameters are inherently uncertain, yet quantifying this uncertainty has received…

Optimization and Control · Mathematics 2026-05-26 Timothy C. Y. Chan , Nathan Sandholtz , Nasrin Yousefi

Recent investigations have emphasized the importance of uncertainty quantification (UQ) to describe errors in nuclear theory. We carry out UQ for configuration-interaction shell model calculations in the $1s$-$0d$ valence space,…

Nuclear Theory · Physics 2020-05-20 Jordan M. R. Fox , Calvin W. Johnson , Rodrigo Navarro Perez

The quantum multiparameter estimation is very different from the classical multiparameter estimation due to Heisenberg's uncertainty principle in quantum mechanics. When the optimal measurements for different parameters are incompatible,…

Quantum Physics · Physics 2021-03-31 Xiao-Ming Lu , Xiaoguang Wang

Bayesian optimization is a popular tool for data-efficient optimization of expensive objective functions. In real-life applications like engineering design, the designer often wants to take multiple objectives as well as input uncertainty…

Artificial Intelligence · Computer Science 2022-02-28 J. Qing , I. Couckuyt , T. Dhaene

Mathematical models simulate various events under different conditions, enabling an early overview of the system to be implemented in practice, reducing the waste of resources and in less time. In project optimization, these models play a…

Optimization and Control · Mathematics 2021-05-11 Gustavo Barbosa Libotte , Fran Sérgio Lobato , Francisco Duarte Moura Neto , Gustavo Mendes Platt
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