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In the modern description of nuclear forces based on chiral effective field theory, four-nucleon operators with unknown coupling constants appear. These couplings can be fixed by a fit to the low partial waves of neutron-proton scattering.…

Nuclear Theory · Physics 2011-07-19 Evgeny Epelbaum , Ulf-G. Meißner , Walter Glöckle , Charlotte Elster

We study the three-nucleon system at next-to-next-to-next-to-leading order ($\mathrm{N^3LO}$) in the framework of chiral effective field theory (EFT) on the lattice. Our calculations do not rely on a perturbative treatment of subleading…

Nuclear Theory · Physics 2024-12-02 Lukas Bovermann , Evgeny Epelbaum , Hermann Krebs , Dean Lee

Nuclear effective field theories (EFTs) have been developed over the last quarter-century with considerable impact on the description of light and even medium-mass nuclei. At the core of any EFT is a systematic expansion of observables,…

Nuclear Theory · Physics 2020-04-22 U. van Kolck

The subject of effective interactions is introduced and applications in both quantum mechanics and quantum field theory are presented. In particular the use of chiral perturbation theory as an effective low energy description of QCD is…

High Energy Physics - Phenomenology · Physics 2017-08-23 Barry R. Holstein

We present the first Green's function Monte Carlo calculations of light nuclei with nuclear interactions derived from chiral effective field theory up to next-to-next-to-leading order. Up to this order, the interactions can be constructed…

Nuclear Theory · Physics 2014-11-11 J. E. Lynn , J. Carlson , E. Epelbaum , S. Gandolfi , A. Gezerlis , A. Schwenk

I review the current status of the application of effective field theory to nuclear physics, and its present implications for nuclear astrophysics.

Nuclear Theory · Physics 2009-11-10 Martin J. Savage

I summarize the motivation for the effective field theory approach to nuclear physics, and highlight some of its recent accomplishments. The results are compared with those computed in potential models.

Nuclear Theory · Physics 2009-10-31 David B. Kaplan

We confirm the claim of Ref. [D.R. Phillips, C. Schat, Phys. Rev. C88 (2013) 3, 034002] that 20 operators are sufficient to represent the most general local isospin-invariant three-nucleon force and derive explicit relations between the two…

Nuclear Theory · Physics 2015-06-23 E. Epelbaum , A. M. Gasparyan , H. Krebs , C. Schat

Chiral symmetry allows two and three nucleon forces to be treated in a single theoretical framework. We discuss two new features of this research programme at $\cO(q^4)$ and the consistency of the overall chiral picture.

Nuclear Theory · Physics 2008-11-26 M. R. Robilotta

We review a large body of predictions obtained within the framework of relativistic meson theory together with the Dirac-Brueckner-Hartree-Fock approach to nuclear matter and finite nuclei. The success of this method has been largely…

Nuclear Theory · Physics 2017-01-12 Herbert Müther , Francesca Sammarruca , Zhongyu Ma

An accurate description of nuclear matter starting from free-space nuclear forces has been an elusive goal. The complexity of the system makes approximations inevitable, so the challenge is to find a consistent truncation scheme with…

Nuclear Theory · Physics 2009-10-31 R. J. Furnstahl , James V. Steele , Negussie Tirfessa

In this proceeding I briefly review current status of the construction of nuclear electro-weak currents within chiral effective field theory. I show that gauge and chiral symmetry requirements lead to the well-known continuity equations for…

Nuclear Theory · Physics 2019-08-06 Hermann Krebs

Recent experimental results in three-body systems have unambiguously shown that calculations based only on nucleon-nucleon forces fail to accurately describe many experimental observables and one needs to include effects which are beyond…

Nuclear Theory · Physics 2015-05-30 N. Kalantar-Nayestanaki , E. Epelbaum , J. G. Messchendorp , A. Nogga

In this article, we review the status of the calculation of nuclear currents within chiral effective field theory. After formal discussion of the unitary transformation technique and its application to nuclear currents we will give all…

Nuclear Theory · Physics 2020-10-28 Hermann Krebs

We study the order-by-order expansion of the energy per particle of asymmetric nuclear matter up to twice saturation density in chiral effective field theory (EFT) within a Bayesian framework. For this, we develop a two-dimensional Gaussian…

Nuclear Theory · Physics 2026-05-13 H. Göttling , L. Hoff , K. Hebeler , A. Schwenk

Modern theory approaches for describing atomic nuclei often make use of on an effective theory that constructs the interaction between nucleons systematically based on Quantum Chromodynamics (QCD), exploiting constraints arising from the…

Nuclear Theory · Physics 2025-11-18 Songlin Lyu , Lin Zuo , Rui Peng , Sebastian König , Bingwei Long

Chiral perturbation theory in heavy-fermion formalism is developed for meson-exchange currents in nuclei and applied to nuclear axial- charge transitions. Calculation is performed to the next-to-leading order in chiral expansion which…

High Energy Physics - Phenomenology · Physics 2010-04-06 Tae-Sun Park , Dong-Pil Min , Mannque Rho

Chiral symmetry and its spontaneous breaking play an important role both in the light hadron and heavy hadron systems. The chiral perturbation theory ($\chi$PT) is the low energy effective field theory of the QCD. In this work, we shall…

High Energy Physics - Phenomenology · Physics 2023-05-09 Lu Meng , Bo Wang , Guang-Juan Wang , Shi-Lin Zhu

The aim of this work is to develop the relevant formalism for performing coupled-cluster (CC) calculations in nuclear matter and neutron star matter, including thereby important correlations to infinite order in the interaction and testing…

Nuclear Theory · Physics 2013-11-18 G. Baardsen , A. Ekström , G. Hagen , M. Hjorth-Jensen

We present an efficient Monte Carlo framework for perturbative calculations of infinite nuclear matter based on chiral two-, three-, and four-nucleon interactions. The method enables the incorporation of all many-body contributions in a…

Nuclear Theory · Physics 2019-02-06 C. Drischler , K. Hebeler , A. Schwenk