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Related papers: Uncertainties with low-resolution nuclear forces

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The BUQEYE model for correlated effective field theory (EFT) truncation errors assumes a regular pattern of dimensionless coefficients extracted from order-by-order observable calculations. This enables results from lower orders to inform…

Nuclear Theory · Physics 2025-08-26 P. J. Millican , R. J. Furnstahl , J. A. Melendez , D. R. Phillips

We test the BUQEYE model of correlated effective field theory (EFT) truncation errors on Reinert, Krebs, and Epelbaum's semi-local momentum-space implementation of the chiral EFT ($\chi$EFT) expansion of the nucleon-nucleon (NN) potential.…

Nuclear Theory · Physics 2024-02-21 P. J. Millican , R. J. Furnstahl , J. A. Melendez , D. R. Phillips , M. T. Pratola

Cutoff independence is an essential requirement for the predictive power of nuclear \textit{ab initio} calculations based on effective field theory (EFT). While it is conventionally assumed that such invariance necessitates high-order…

Nuclear Theory · Physics 2026-04-23 Chen-Can Wang , Jia-Ai Shi , Bing-Nan Lu

Strongly-coupled Quantum Field Theories (QFTs) are ubiquitous in high energy physics and many-body physics, yet our ability to do precise computations in such systems remains limited. Hamiltonian Truncation is a method for doing…

High Energy Physics - Theory · Physics 2022-01-28 A. Liam Fitzpatrick , Emanuel Katz

The strong interaction, i.e., quantum chromodynamics at the low energy nuclear regime, is notoriously known to be challenging for predictive modeling. Here, we use the simplest possible nuclear effective field theory (EFT), and show that in…

Nuclear Theory · Physics 2022-07-21 Hilla De-Leon , Doron Gazit

A compressible liquid-drop approach adjusted to uniform matter many-body calculations based on chiral EFT interactions and to the experimental nuclear masses is used to investigate the neutron star crust properties. Eight chiral EFT…

Nuclear Theory · Physics 2021-09-27 Grams , G. , Margueron , J. , Somasundaram , R. , Reddy , S

We give an overview of recent results for the nuclear equation of state and properties of neutron stars based on microscopic two- and three-nucleon interactions derived within chiral effective field theory (EFT). It is demonstrated that the…

Nuclear Theory · Physics 2014-10-15 Kai Hebeler

Electron beams provide important probes and constraints for nuclear astrophysics. This is especially exciting at energies within the regime of chiral effective field theory (EFT), which provides a systematic expansion for nuclear forces and…

Nuclear Theory · Physics 2015-06-17 A. Schwenk

Renormalization group methods generate low-resolution Hamiltonians that are more diagonal and easier to solve. This chapter reviews the similarity renormalization group for nuclear Hamiltonians, which is a popular method for generating…

Nuclear Theory · Physics 2026-03-05 Matthias Heinz

Hamiltonian Truncation (a.k.a. Truncated Spectrum Approach) is a numerical technique for solving strongly coupled QFTs, in which the full Hilbert space is truncated to a finite-dimensional low-energy subspace. The accuracy of the method is…

High Energy Physics - Theory · Physics 2017-10-25 Joan Elias-Miro , Slava Rychkov , Lorenzo G. Vitale

These lectures are a pedagogical -- not comprehensive -- introduction to the applications of effective field theory in the context of nuclear and atomic physics. A common feature of these applications is the interplay between…

Nuclear Theory · Physics 2019-02-11 U. van Kolck

We show how nuclear effective field theory (EFT) and ab initio nuclear-structure methods can turn input from lattice quantum chromodynamics (LQCD) into predictions for the properties of nuclei. We argue that pionless EFT is the appropriate…

Nuclear Theory · Physics 2015-03-05 N. Barnea , L. Contessi , D. Gazit , F. Pederiva , U. van Kolck

We develop the theory of Hamiltonian Truncation (HT) to systematically study RG flows that require the renormalization of coupling constants. This is a necessary step towards making HT a fully general method for QFT calculations. We apply…

High Energy Physics - Theory · Physics 2025-02-13 Olivier Delouche , Joan Elias Miro , James Ingoldby

Hamiltonian Truncation (a.k.a. Truncated Spectrum Approach) is an efficient numerical technique to solve strongly coupled QFTs in d=2 spacetime dimensions. Further theoretical developments are needed to increase its accuracy and the range…

High Energy Physics - Theory · Physics 2017-12-19 Joan Elias-Miro , Slava Rychkov , Lorenzo G. Vitale

Quantum computers offer the potential to simulate nuclear processes that are classically intractable. With the goal of understanding the necessary quantum resources to realize this potential, we employ state-of-the-art…

Three-nucleon force (3NF) plays an important role in understanding the structure of finite nuclei and the saturation properties of infinite nuclear matter. The chiral 3NF derived from the chiral effective field theory has been successful in…

Nuclear Theory · Physics 2026-01-14 Rongzhe Hu , Jianguo Li , Siqin Fan , Furong Xu

The clear separation of scales observed in halo nuclei between the extended halo and the compact core makes these exotic nuclei a perfect subject for Effective Field Theory (EFT). Such description leads to a systematic expansion of the…

Nuclear Theory · Physics 2022-01-05 Pierre Capel

During the past two decades, chiral effective field theory has become a popular tool to derive nuclear forces from first principles. Two-nucleon interactions have been worked out up to sixth order of chiral perturbation theory and…

Nuclear Theory · Physics 2016-08-31 R. Machleidt , F. Sammarruca

We have quantified the statistical uncertainties of the low-energy coupling-constants (LECs) of an optimized nucleon-nucleon (NN) interaction from chiral effective field theory ($\chi$EFT) at next-to-next-to-leading order (NNLO). In…

Nuclear Theory · Physics 2015-06-10 A. Ekström , B. D. Carlsson , K. A. Wendt , C. Forssén , M. Hjorth-Jensen , R. Machleidt , S. M. Wild

We investigate low energy nucleon dynamics in the effective field theory (EFT) of nuclear forces. In leading order of the two-nucleon EFT we show that nucleon dynamics is governed by the generalized dynamical equation with a…

Nuclear Theory · Physics 2009-11-07 Renat Kh. Gainutdinov , Aigul A. Mutygullina