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Related papers: Subleading contributions to the chiral three-nucle…

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We derive the short-range contributions and the leading relativistic corrections to the three-nucleon force at next-to-next-to-next-to-leading order in the chiral expansion.

Nuclear Theory · Physics 2013-05-29 V. Bernard , E. Epelbaum , H. Krebs , U. -G. Meißner

We derive the sub-subleading two-pion exchange contributions to the three-nucleon force which appear at next-to-next-to-next-to-next-to-leading order in chiral effective field theory. In order to determine the low-energy constants, a…

Nuclear Theory · Physics 2013-05-30 Hermann Krebs , Ashot Gasparyan , Evgeny Epelbaum

Long-range contributions to the three-nucleon force that have been recently worked out in chiral effective field theory at next-to-next-to-next-to-leading order are for the first time included in the triton and the doublet nucleon-deuteron…

Nuclear Theory · Physics 2013-05-29 R. Skibinski , J. Golak , K. Topolnicki , H. Witala , E. Epelbaum , W. Gloeckle , H. Krebs , A. Nogga , H. Kamada

We derive from the subleading contributions to the chiral three-nucleon interaction [published in Phys.~Rev.~C77, 064004 (2008) and Phys.~Rev.~C84, 054001 (2011)] their first-order contributions to the energy per particle of…

Nuclear Theory · Physics 2021-05-12 N. Kaiser

We consider subleading contributions to the three-nucleon force from tree-level diagrams involving a single-pion exchange and a contact interaction between two nucleons, which appear at fifth order in the chiral expansion. We show that the…

Nuclear Theory · Physics 2026-02-16 Henri Paul Huesmann , Hermann Krebs , Evgeny Epelbaum

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

We classify $A$--nucleon forces according to their isospin dependence and discuss the most general isospin structure of the three--nucleon force. We derive the leading and subleading isospin--breaking corrections to the three--nucleon force…

Nuclear Theory · Physics 2014-11-18 E. Epelbaum , Ulf-G. Meißner , J. E. Palomar

We include two new three-nucleon-force terms of pion-range - short-range form in our momentum-space calculations for the three-nucleon continuum. These two terms are expected by chiral perturbation theory to be non-negligible. We study the…

Nuclear Theory · Physics 2014-11-18 D. Hüber , J. L. Friar , A. Nogga , H. Witala , U. van Kolck

We study the two-nucleon force at next-to-next-to-leading order in a chiral effective field theory with explicit Delta degrees of freedom. Fixing the appearing low-energy constants from a next-to-leading order calculation of pion-nucleon…

Nuclear Theory · Physics 2008-11-26 Hermann Krebs , Evgeny Epelbaum , Ulf-G. Meißner

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

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

I review the chiral dynamics of nuclear physics. In the first part, I discuss the new developments in the construction of the forces between two, three and four nucleons which have been partly carried out to fifth order in the chiral…

Nuclear Theory · Physics 2016-03-23 Ulf-G Meißner

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

We discuss in detail the derivation of the leading four-nucleon force in chiral effective field theory using the method of unitary transformation. The resulting four-nucleon force is given in both momentum and configuration space. It does…

Nuclear Theory · Physics 2008-11-26 E. Epelbaum

We derive from the subleading contributions to the chiral three-nucleon force (short-range terms and relativistic corrections, published in Phys. Rev. C84, 054001 (2011)) a density-dependent two-nucleon interaction $V_\text{med}$ in…

Nuclear Theory · Physics 2018-12-05 N. Kaiser , V. Niessner

After a brief review of the role three-nucleon forces play in the few-nucleon systems, the chiral-perturbation-theory approach to these forces is discussed. Construction of the (nominal) leading- and subleading-order Born terms and…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , D. Hüber , U. van Kolck

We study momentum distributions and short-range correlation probabilities in $A$=2 and $A$=3 systems. First, we show results with phenomenological and meson-theoretic two- and three-nucleon forces to verify consistency with previous similar…

Nuclear Theory · Physics 2019-03-27 L. E. Marcucci , F. Sammarruca , M. Viviani , R. Machleidt

We study the importance of few-nucleon forces in chiral effective field theory for describing many-nucleon systems. A combinatorial argument suggests that three-nucleon forces -- which are conventionally regarded as next-to-next-to-leading…

Nuclear Theory · Physics 2023-10-06 C. -J. Yang , A. Ekström , C. Forssén , G. Hagen , G. Rupak , U. van Kolck

Chiral effective field theory has established itself as the method of choice to study nuclear forces and low-energy nuclear dynamics. I review the status and prospects of this approach and discuss ongoing efforts to advance the precision…

Nuclear Theory · Physics 2015-10-27 Evgeny Epelbaum

We derive from the subleading contributions to the chiral three-nucleon force (long-range terms, published in Phys.\,Rev.\,C\,77, 064004 (2008)) a density-dependent two-nucleon interaction $V_\text{med}$ in isospin-symmetric, spin-saturated…

Nuclear Theory · Physics 2021-04-09 N. Kaiser , B. Singh
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