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Related papers: Power counting in chiral effective field theory an…

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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

Any effective field theory relies on power counting rules that allow one to perform a systematic expansion of calculated quantities in terms of some soft scales. However, a naive power counting can be violated due to the presence of various…

High Energy Physics - Phenomenology · Physics 2025-04-24 A. M. Gasparyan , E. Epelbaum

A century ago, Wigner's SU(4) symmetry was introduced to explain the properties of atomic nuclei. Despite recent revived interest, its impact on nuclear structure, transitions, and reactions has not been fully explored. Here, we show that a…

We study ground-state energies and charge radii of closed-shell medium-mass nuclei based on novel chiral nucleon-nucleon (NN) and three-nucleon (3N) interactions, with a focus on exploring the connections between finite nuclei and nuclear…

Nuclear Theory · Physics 2019-08-14 J. Hoppe , C. Drischler , K. Hebeler , A. Schwenk , J. Simonis

We derive the three-nucleon neutrinoless double beta decay potential in $\Delta$-full chiral effective field theory through next-to-next-to-next-to leading order in Weinberg's power counting. The matrix elements of the resulting operators…

We present the first ab initio calculations of nuclear ground states up into the domain of heavy nuclei, spanning the range from 16-O to 132-Sn based on two- plus three-nucleon interactions derived within chiral effective field theory. We…

Nuclear Theory · Physics 2015-06-18 Sven Binder , Joachim Langhammer , Angelo Calci , Robert Roth

We construct a coordinate-space potential based on pionless effective field theory with a Gaussian regulator. Charge-symmetry breaking is included through the Coulomb potential and through two- and three-body contact interactions. Starting…

Nuclear Theory · Physics 2017-02-06 Vadim Lensky , Michael C. Birse , Niels R. Walet

The large nucleon-nucleon scattering length, and the isospin approximate symmetry, are low energy properties of quantum chromodynamics (QCD). These entail correlations in the binding energies of light nuclei, e.g., the A=3 iso-multiplet,…

Nuclear Theory · Physics 2015-08-25 Sergiu Lupu , Nir Barnea , Doron Gazit

In spite of the great progress we have seen in recent years in the derivation of nuclear forces from chiral effective field theory (EFT), some important issues are still unresolved. In this contribution, we discuss the open problems which…

Nuclear Theory · Physics 2010-05-28 R. Machleidt , D. R. Entem

Chiral effective field theory (ChEFT) is a modern framework to analyze the properties of few-nucleon systems at low energies. It is based on the most general effective Lagrangian for pions and nucleons consistent with the chiral symmetry of…

Nuclear Theory · Physics 2015-05-20 D. Rozpedzik , J. Golak , S. Kolling , E. Epelbaum

A major goal of nuclear theory is to explain the spectra and stability of nuclei in terms of effective many-body interactions amongst the nucleus' constituents-the nucleons, i.e., protons and neutrons. Such an approach, referred to below as…

Conformal field theory (CFT) is an extremely powerful tool for explicitly computing critical exponents and correlation functions of statistical mechanics systems at a second order phase transition, or of condensed matter systems at a…

Mathematical Physics · Physics 2021-02-23 Alessandro Giuliani

Low-resolution nuclear Hamiltonians, obtained from chiral effective field theory (EFT) and softened using renormalization group techniques, have been very successful in nuclear structure theory. The associated EFT truncation uncertainty for…

Nuclear Theory · Physics 2025-09-30 Tom Plies , Matthias Heinz , Achim Schwenk

Neutron matter presents a unique system for chiral effective field theory (EFT), because all many-body forces among neutrons are predicted to next-to-next-to-next-to-leading order (N3LO). We present the first complete N3LO calculation of…

Nuclear Theory · Physics 2013-02-05 I. Tews , T. Krueger , K. Hebeler , A. Schwenk

A recently proposed covariant chiral effective field theory approach is applied to study strangeness $S=-1$ hyperon-nucleon interactions at leading order. 12 low energy constants are introduced by Lorentz invariance, which is different from…

Nuclear Theory · Physics 2017-03-14 Kai-Wen Li , Xiu-Lei Ren , Li-Sheng Geng , Bingwei Long

We optimize the nucleon-nucleon interaction from chiral effective field theory at next-to-next- to-leading order. The resulting new chiral force NNLOopt yields \chi^2 \approx 1 per degree of freedom for laboratory energies below…

Motivated by the recent progress in developing high-precision relativistic chiral nucleon-nucleon interactions, we study the antinucleon-nucleon interaction in a hybrid approach where the real part of the potential is constructed in the…

Nuclear Theory · Physics 2024-12-06 Yang Xiao , Jun-Xu Lu , Li-Sheng Geng

We use Bayesian methods and Hamiltonian Monte Carlo (HMC) sampling to infer the posterior probability density function (PDF) for the low-energy constants (LECs) up to next-to-next-to-next- to-leading order (N3LO) in a chiral effective field…

Nuclear Theory · Physics 2024-07-29 Isak Svensson , Andreas Ekström , Christian Forssén

We study the spectra of neutron-rich oxygen isotopes based on chiral two- and three-nucleon interactions. First, we benchmark our many-body approach by comparing ground-state energies to coupled-cluster results for the same two-nucleon…

Nuclear Theory · Physics 2013-03-20 J. D. Holt , J. Menendez , A. Schwenk

The renormalization of iterated one-pion exchange (OPE) is studied in Chiral Effective Field Theory ($\chi$EFT) for the antinucleon-nucleon ($\overline{N}\!N$) system. The OPE potential is cut off at a certain distance and contact…

Nuclear Theory · Physics 2022-05-31 Daren Zhou , Bingwei Long , R. G. E. Timmermans , U. van Kolck