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Related papers: The Missing Three-Nucleon Forces: Where Are They?

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We review recent progress in implementing high-precision chiral two- and three-body forces in nuclear many-body systems beyond light nuclei. We begin with applications to finite nuclei, which we study through the nuclear shell model and…

Nuclear Theory · Physics 2015-06-03 J. W. Holt , N. Kaiser , W. Weise

A satisfactory description of bound and scattering states of the three-nucleon (3N) system is still lacking, contrary to what happens in the two-nucleon case. In the framework of chiral effective theory, it is possible that a realistic 3N…

Nuclear Theory · Physics 2012-06-22 L. Girlanda , A. Kievsky , M. Viviani

The nuclear physics landscape has been redesigned as a sequence of effective field theories (EFTs) connected to the Standard Model through symmetries and lattice simulations of Quantum Chromodynamics (QCD). EFTs in this sequence are…

Nuclear Theory · Physics 2020-07-01 H. -W. Hammer , S. König , U. van Kolck

We compare nuclear and neutron matter predictions based on two different ab initio approaches to nuclear forces and the nuclear many-body problem. The first consists of a realistic meson-theoretic nucleon-nucleon potential together with the…

Nuclear Theory · Physics 2013-05-30 F. Sammarruca , B. Chen , L. Coraggio , N. Itaco , R. Machleidt

Recently a formalism for a direct treatment of the Faddeev equation for the three-nucleon bound state in three dimensions has been proposed. It relies on an operator representation of the Faddeev component in the momentum space and leads to…

Nuclear Theory · Physics 2015-06-05 J. Golak , K. Topolnicki , R. Skibinski , W. Gloeckle , H. Kamada , A. Nogga

In the past decades, it has been shown that the three-body force is necessary for a fully microscopic understanding of nuclear many-body systems, and thus efficient schemes for storing and utilizing three-body matrix elements have been…

Nuclear Theory · Physics 2022-08-05 Sota Yoshida

We calculate the properties of neutron matter and highlight the physics of chiral three-nucleon forces. For neutrons, only the long-range 2 pi-exchange interactions of the leading chiral three-nucleon forces contribute, and we derive…

Nuclear Theory · Physics 2015-03-13 K. Hebeler , A. Schwenk

Three-nucleon interactions are a frontier in understanding and predicting the structure of strongly-interacting matter in laboratory nuclei and in the cosmos. We present results and discuss the status of first calculations with microscopic…

Nuclear Theory · Physics 2011-04-11 A. Schwenk , J. D. Holt

We derive the subleading contributions to the two-pion-one-pion exchange and ring three-nucleon force topologies emerging at next-to-next-to-next-to-next-to-leading order in chiral effective field theory. The resulting expressions do not…

Nuclear Theory · Physics 2013-06-05 Hermann Krebs , Ashot Gasparyan , Evgeny Epelbaum

Ab initio calculations have achieved remarkable success in nuclear structure studies. Numerous works highlight the pivotal role of three-body forces in nuclear ab initio calculations. Concurrently, efforts have been made to replicate these…

Nuclear Theory · Physics 2024-06-13 P. Y. Wang , J. G. Li , S. Zhang , Q. Yuan , M. R. Xie , W. Zuo

Three-nucleon force and continuum play important roles in reproducing the properties of atomic nuclei around driplines. Therefore it is valuable to build up a theoretical framework where both effects can be taken into account to solve the…

Nuclear Theory · Physics 2020-08-04 Y. Z. Ma , F. R. Xu , L. Coraggio , B. S. Hu , J. G. Li , T. Fukui , L. De Angelis , N. Itaco , A. Gargano

Using modern nucleon-nucleon interactions in the description of the $A=3,4$ nuclear systems the $\chi^2$ per datum results to be much bigger than one. In particular it is not possible to reproduce the three- and four-nucleon binding…

Nuclear Theory · Physics 2015-05-20 A. Kievsky

We present NN potentials through five orders of chiral effective field theory ranging from leading order (LO) to next-to-next-to-next-to-next-to-leading order (N4LO). The construction may be perceived as consistent in the sense that the…

Nuclear Theory · Physics 2017-08-16 D. R. Entem , R. Machleidt , Y. Nosyk

We present the two- and three-pion exchange contributions to the nucleon-nucleon interaction which occur at next-to-next-to-next-to-next-to-leading order (N4LO, fifth order) of chiral effective field theory, and calculate nucleon-nucleon…

Nuclear Theory · Physics 2015-01-14 D. R. Entem , N. Kaiser , R. Machleidt , Y. Nosyk

We compute the energy per particle of infinite symmetric nuclear matter from chiral N3LO (next-to-next-to-next-to-leading order) two-body potentials plus N2LO three-body forces. The low-energy constants of the chiral three-nucleon force…

Nuclear Theory · Physics 2014-04-28 L. Coraggio , J. W. Holt , N. Itaco , R. Machleidt , L. E. Marcucci , F. Sammarruca

We calculate higher order corrections for the three-nucleon system up to next-to-next-to-leading within an effective field theory with contact interactions alone. We employ a subtraction formalism previously developed and for which it has…

Nuclear Theory · Physics 2009-11-11 L. Platter

We construct a phenomenological three-nucleon force (3NF) model that gives a good description of polarization observables in elastic nucleon-deuteron (N-$d$) scattering at a low energy together with a realistic nucleon-nucleon force and a…

Nuclear Theory · Physics 2025-03-20 S. Ishikawa

I discuss our recent work on Green's function Monte Carlo (GFMC) calculations of light nuclei using local nucleon-nucleon interactions derived from chiral effective field theory (EFT) up to next-to-next-to-leading order (N$^2$LO). I present…

Nuclear Theory · Physics 2016-04-20 J. E. Lynn

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

Nuclear density functional theory (DFT) is the only microscopic, global approach to the structure of atomic nuclei. It is used in numerous applications, from determining the limits of stability to gaining a deep understanding of the…

Nuclear Theory · Physics 2015-02-06 Nicolas Schunck , Jordan D. McDonnell , Jason Sarich , Stefan M. Wild , Dave Higdon