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

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We derive the long-range contributions to the tree-nucleon force at next-to-next-to-next-to-leading order in the chiral expansion. We give both momentum and coordinate space representations.

Nuclear Theory · Physics 2008-11-26 V. Bernard , E. Epelbaum , H. Krebs , Ulf-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

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

Recent successes in {\it ab initio} calculations of light nuclei (A=2-6) will be reviewed and correlated with the dynamical consequences of chiral symmetry. The tractability of nuclear physics evinced by these results is evidence for that…

Nuclear Theory · Physics 2010-05-27 J. L. Friar

We report on the construction of an accurate relativistic chiral nucleon-nucleon interaction up to the next-to-next-to-leading (NNLO) order. We compare the so-obtained neutron-proton phaseshifts with the next-to-next-to-next-to-leading…

Nuclear Theory · Physics 2022-04-25 Jun-Xu Lu , Yang Xiao , Chun-Xuan Wang , Li-Sheng Geng

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

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

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

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 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

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 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 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 construct a relativistic chiral nucleon-nucleon interaction up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory. We show that a good description of the $np$ phase shifts up to $T_\mathrm{lab}=200$ MeV…

Nuclear Theory · Physics 2022-04-25 Jun-Xu Lu , Chun-Xuan Wang , Yang Xiao , Li-Sheng Geng , Jie Meng , Peter Ring

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

In recent years, there has been substantial progress in the derivation of nuclear forces from chiral effective field theory. Accurate two-nucleon forces (2NF) have been constructed up to next-to-next-to-next-to-leading order (N3LO) of…

Nuclear Theory · Physics 2009-09-20 R. Machleidt

The effects of small relativistic corrections to the off-resonant polarizability, hyperpolarizability, and second hyperpolarizability are investigated. Corrections to linear and nonlinear optical coefficients are demonstrated in the…

Quantum Physics · Physics 2015-06-22 Nathan J. Dawson

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

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

Chiral effective field theory is being developed into a precision tool for low-energy nuclear physics. I review the state of the art in the two-nucleon sector, discuss applications to few-nucleon systems and address challenges that will…

Nuclear Theory · Physics 2019-08-27 E. Epelbaum
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