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A comprehensive assessment of theoretical uncertainties defines an important frontier in nuclear structure research. Ideally, theory predictions include uncertainty estimates that take into account truncation effects from both the…

核理论 · 物理学 2026-02-23 Isak Svensson , Alexander Tichai , Kai Hebeler , Achim Schwenk

We introduce a method for the estimation of uncertainties in density-functional-theory (DFT) calculations for atomistic systems. The method is based on the construction of an uncertainty-aware functional distribution (UAFD) in a space…

材料科学 · 物理学 2025-07-14 Teitur Hansen , Jens Jørgen Mortensen , Thomas Bligaard , Karsten Wedel Jacobsen

Reliable uncertainty quantification is essential for the use of machine learning in physics, where scientific discoveries depend on validated probabilistic statements. We provide a structured overview of uncertainty quantification in ML for…

机器学习 · 统计学 2026-05-12 Manuel Haußmann , Ramon Winterhalder , Maria Ubiali

Chiral effective field theory ($\chi$EFT) is a powerful tool for studying electroweak processes in nuclei. I discuss $\chi$EFT calculations of three key nuclear electroweak processes: primordial deuterium production, proton-proton fusion,…

核理论 · 物理学 2024-04-18 Bijaya Acharya

This guide offers suggestions/insights on uncertainty quantification of nuclear structure models. We discuss a simple approach to statistical error estimates, strategies to assess systematic errors, and show how to uncover…

核理论 · 物理学 2014-05-26 J. Dobaczewski , W. Nazarewicz , P. -G. Reinhard

The implications of an effective field theory (EFT) interpretation of nuclear mean-field phenomenology are reviewed.

核理论 · 物理学 2009-10-31 R. J. Furnstahl , Brian D. Serot

In the low-energy region far below the chiral symmetry breaking scale (which is of the order of 1 GeV) chiral perturbation theory provides a model-independent approach for quantitative description of nuclear processes. In the two- and…

高能物理 - 格点 · 物理学 2016-08-14 Hermann Krebs , Bugra Borasoy , Evgeny Epelbaum , Dean Lee , Ulf-G. Meißner

We present an effective field theory (EFT) for a model-independent description of deformed atomic nuclei. In leading order this approach recovers the well-known results from the collective model by Bohr and Mottelson. When higher-order…

核理论 · 物理学 2016-04-14 T. Papenbrock , H. A. Weidenmüller

We present a theoretical framework to quantify statistical uncertainties in covariant density functional theory (CDFT) for both nuclear matter and finite nuclei, based on a relativistic point-coupling energy density functional (EDF). By…

核理论 · 物理学 2026-04-10 X. Zhang , C. C. Wang , C. R. Ding , J. M. Yao

Atomistic simulations often rely on interatomic potentials to access greater time- and length- scales than those accessible to first principles methods such as density functional theory (DFT). However, since a parameterised potential…

材料科学 · 物理学 2024-10-08 I. R. Best , T. J. Sullivan , J. R. Kermode

We present strategies to quantify theoretical uncertainties in modern ab-initio calculations of electromagnetic observables in light and medium-mass nuclei. We discuss how uncertainties build up from various sources, such as the…

This review gives an overview of effective field theory (EFT) as applied at finite density, with a focus on nuclear many-body systems. Uniform systems with short-range interactions illustrate the ingredients and virtues of many-body EFT and…

核理论 · 物理学 2009-11-19 R. J. Furnstahl , G. Rupak , T. Schaefer

Effective Field Theories (EFTs) constructed as derivative expansions in powers of momentum, in the spirit of Chiral Perturbation Theory (ChPT), are a controllable approximation to strong dynamics as long as the energy of the interacting…

高能物理 - 唯象学 · 物理学 2021-08-11 Alexandre Salas-Bernárdez , Felipe J. Llanes-Estrada , Juan Escudero-Pedrosa , Jose Antonio Oller

Neutrino physics is advancing into a precision era with the construction of new experiments, particularly in the few GeV energy range. Within this energy range, neutrinos exhibit diverse interactions with nucleons and nuclei. This study…

高能物理 - 唯象学 · 物理学 2024-11-01 Joachim Kopp , Noemi Rocco , Zahra Tabrizi

Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematically improvable, model-independent calculations. Particularly interesting are few-body systems with…

其他凝聚态物理 · 物理学 2009-11-10 H. -W. Hammer

Attempts to apply effective field theory (EFT) methods to nonrelativistic nucleon-nucleon (NN) scattering have raised questions about the nature and limitations of an EFT expansion when used nonperturbatively. We discuss the characteristics…

核理论 · 物理学 2009-10-31 James V. Steele , R. J. Furnstahl

Over the past years, the interpretation of measurements in the context of effective field theories has attracted much attention in the field of particle physics. We present a tool for interpreting sets of measurements in such models using a…

高能物理 - 实验 · 物理学 2016-08-24 Nuno Castro , Johannes Erdmann , Cornelius Grunwald , Kevin Kröninger , Nils-Arne Rosien

Effective Field Theories (EFTs) for Goldstone Boson scattering at a low order allow the computation of near--threshold observables in terms of a few coefficients arranged by a counting. As a matter of principle they should make sense up to…

高能物理 - 唯象学 · 物理学 2020-12-07 Juan Escudero-Pedrosa , Felipe J. Llanes-Estrada , José Antonio Oller , Alexandre Salas-Bernárdez

We present procedures based on Bayesian statistics for estimating, from data, the parameters of effective field theories (EFTs). The extraction of low-energy constants (LECs) is guided by theoretical expectations in a quantifiable way…

核理论 · 物理学 2016-06-22 S. Wesolowski , N. Klco , R. J. Furnstahl , D. R. Phillips , A. Thapaliya

Chiral effective field theory (chiEFT) provides a systematic approach to describe low-energy nuclear forces. Moreover, chiEFT is able to provide well-founded estimates of statistical and systematic uncertainties -- although this unique…