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We present the first nucleon-nucleon potential at next-to-next-to-next-to-leading order (fourth order) of chiral perturbation theory. Charge-dependence is included up to next-to-leading order of the isospin-violation scheme. The accuracy…

Nuclear Theory · Physics 2009-11-10 D. R. Entem , R. Machleidt

We present an accurate nucleon-nucleon ($NN$) potential based upon chiral effective Lagrangians. The model includes one- and two-pion exchange contributions up to chiral order three. We show that a quantitative fit of the $NN$ $D$-wave…

Nuclear Theory · Physics 2010-04-06 D. R. Entem , R. Machleidt

I describe recent progress towards a theory of the NN force which captures the consequences of QCD's chiral symmetry and the pattern of its breaking, and is formulated as an expansion in a ratio of low and high mass scales, M_{lo}/M_{hi}.…

Nuclear Theory · Physics 2013-02-26 Daniel R. Phillips

We present an accurate nucleon-nucleon (NN) potential based upon chiral effective Lagrangians. The model includes one- and two-pion exchange contributions up to chiral order three and contact terms (which represent the short range force) up…

Nuclear Theory · Physics 2017-08-23 D. R. Entem , R. Machleidt

During the past two decades, it has been demonstrated that chiral effective field theory represents a powerful tool to deal with nuclear forces in a systematic and model-independent way. Two-, three-, and four-nucleon forces have been…

Nuclear Theory · Physics 2015-06-11 R. Machleidt , Q. MacPherson , E. Marji , R. Winzer , Ch. Zeoli , D. R. Entem

The main progress in the field of nucleon-nucleon (NN) potentials, which we have seen in recent years, is the construction of some very quantitative (high-quality/high-precision) NN potentials. These potentials will serve as excellent input…

Nuclear Theory · Physics 2007-05-23 R. Machleidt

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

Realistic nuclear potentials, derived within chiral perturbation theory, are a major breakthrough in modern nuclear structure theory, since they provide a direct link between nuclear physics and its underlying theory, namely the QCD. As a…

Nuclear Theory · Physics 2016-05-18 L. Coraggio , A. Gargano , J. W. Holt , N. Itaco , R. Machleidt , L. E. Marcucci , F. Sammarruca

The nuclear force is central to our understanding of complex nuclear phenomena and to the applications of nuclear techniques. The nonperturbative nature of the low-energy strong interaction and the color confinement have made an ab initio…

Nuclear Theory · Physics 2026-03-03 Li-Sheng Geng , Jun-Xu Lu , Qing-Yu Zhai , Zhi-Wei Liu , Shihang Shen

During the past two decades, chiral effective field theory has evolved into a powerful tool to derive nuclear forces from first principles. Nearly all two-nucleon interactions have been worked out up to sixth order of chiral perturbation…

Nuclear Theory · Physics 2024-02-23 Ruprecht Machleidt , Francesca Sammarruca

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 present a nucleon-nucleon potential at fifth order in chiral effective field theory. We find a substantial improvement in the description of nucleon-nucleon phase shifts as compared to the fourth-order results of Ref. [E. Epelbaum, H.…

Nuclear Theory · Physics 2015-09-23 E. Epelbaum , H. Krebs , U. -G. Meißner

We closely investigate NN potentials based upon the Delta-full version of chiral effective field theory. We find that recently constructed NN potentials of this kind, which (when applied together with three-nucleon forces) were presented as…

Nuclear Theory · Physics 2021-11-24 Y. Nosyk , D. R. Entem , R. Machleidt

Recently developed chiral nucleon-nucleon (NN) forces at next-to-leading order (NLO) that describe NN phase shifts up to about 100 MeV fairly well have been applied to 3N and 4N systems. Faddeev-Yakubovsky equations have been solved…

Nuclear Theory · Physics 2009-11-06 E. Epelbaum , H. Kamada , A. Nogga , H. Witala , W. Glöckle , Ulf-G. Meißner

Chiral perturbation theory (ChPT) is the effective field theory of the strong interactions at low energies. We will address the issue of a consistent power counting scheme in a manifestly Lorentz-invariant formulation of baryon ChPT. As…

High Energy Physics - Phenomenology · Physics 2009-01-08 Stefan Scherer

After a brief historical review, we present recent progress in our understanding of nuclear forces in terms of chiral effective field theory.

Nuclear Theory · Physics 2008-11-26 R. Machleidt , D. R. Entem

I will review recent progress in our understanding of the nuclear force. In the course of the 1990's, so-called high-precision, charge-dependent nucleon-nucleon potentials have been constructed which are, essentially, phenomenological…

Nuclear Theory · Physics 2009-11-06 R. Machleidt

We report on the recent developments of a new effective field theory for nuclear matter [1,2,3]. We present first the nuclear matter chiral power counting that takes into account both short-- and long--range inter-nucleon interactions. It…

Nuclear Theory · Physics 2011-01-04 A. Lacour , U. -G. Meissner , J. A. Oller

In this lecture series, I present the recent progress in our understanding of nuclear forces in terms of chiral effective field theory.

Nuclear Theory · Physics 2007-05-23 R. Machleidt

The theory of nuclear forces has made great progress since the turn of the millenium using the framework of chiral effective field theory (ChEFT). The advantage of this approach, which was originally proposed by Weinberg, is that it has a…

Nuclear Theory · Physics 2017-08-23 R. Machleidt
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