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The three-nucleon (NNN) interaction derived within the chiral effective field theory at the next-to-next-to-leading order (N2LO) is regulated with a function depending on the magnitude of the momentum transfer. The regulated NNN interaction…

Nuclear Theory · Physics 2008-11-26 Petr Navratil

We investigate the parity-violating nucleon-nucleon potential as obtained in chiral effective field theory. By using resonance saturation we compare the chiral potential to the more traditional one-meson exchange potential. In particular,…

Nuclear Theory · Physics 2014-07-17 J. de Vries , N. Li , Ulf-G. Meißner , N. Kaiser , X. -H. Liu , S. -L. Zhu

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 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 expansions of the two-pion exchange components of both two- and three-nucleon forces are reviewed and a discussion is made of the predicted pattern of hierarchies. The strength of the scalar-isoscalar central potential is found to be…

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

Results for the antinucleon-nucleon ($\bar NN$) interaction obtained at next-to-next-to-next-to-leading order in chiral effective field theory (EFT) are reported. A new local regularization scheme is used for the pion-exchange contributions…

Nuclear Theory · Physics 2017-08-02 Ling-Yun Dai , Johann Haidenbauer , Ulf-G. Meißner

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 present predictions for the neutron matter equation of state, from leading to fourth order of chiral effective field theory, using recently developed, accurate chiral nucleon-nucleon potentials. We find the impact of subleading…

Nuclear Theory · Physics 2021-09-15 Francesca Sammarruca , Randy Millerson

We discuss the current status of chiral effective field theory in the three-nucleon sector and present selected results for nucleon-deuteron scattering observables based on semilocal momentum-space-regularized chiral two-nucleon potentials…

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

Fundamental issues involving nuclei in the celebrated solar neutrino problem are discussed in terms of an effective field theory adapted to nuclear few-body systems, with a focus on the proton fusion process and the hep process. Our…

Nuclear Theory · Physics 2009-11-06 Tae-Sun Park , Kuniharu Kubodera , Dong-Pil Min , Mannque Rho

We propose and demonstrate that peripheral neutron-$\alpha$ scattering at low energies can serve as a sensitive and clean probe of the long-range three-nucleon forces. To this aim, we perform {\it ab initio} quantum Monte Carlo calculations…

Nuclear Theory · Physics 2025-10-28 Yilong Yang , Evgeny Epelbaum , Jie Meng , Lu Meng , Pengwei Zhao

We show that the tail of the chiral two-pion exchange nucleon-nucleon potential is proportional to the $\pi N$ scalar form factor and discuss how it can be translated into effective scalar meson interactions. We then construct a kernel for…

Nuclear Theory · Physics 2009-11-06 C. M. Maekawa , J. C. Pupin , M. R. Robilotta

I start with a historical review of the attempts to construct theories for the origin of nuclear forces, for which I also summaries the most important properties. The review then shifts to its main focus, which is the chiral effective field…

Nuclear Theory · Physics 2013-08-02 R. Machleidt

A compelling feature of relativistic mean-field phenomenology has been the reproduction of spin-orbit splittings in finite nuclei after fitting only to equilibrium properties of infinite nuclear matter. This successful result occurs when…

Nuclear Theory · Physics 2009-10-30 R. J. Furnstahl , John J. Rusnak , Brian D. Serot

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

I discuss the leading and subleading isospin--breaking three--nucleon forces in the chiral effective field theory framework.

Nuclear Theory · Physics 2014-11-18 E. Epelbaum

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

The $\Lambda N$ and $\Sigma N$ interactions are considered at next-to-leading order in SU(3) chiral effective field theory. Different options for the low-energy constants that determine the strength of the contact interactions are explored.…

Nuclear Theory · Physics 2020-04-22 J. Haidenbauer , U. -G. Meißner , A. Nogga

In a recent publication, Cirigliano {\it et al.} [Phys. Rev. Lett. 135, 022501 (2025)] argue that three-nucleon forces (3NFs) involving short-range operators that couple two pions with two nucleons are enhanced beyond what is expected in…

Nuclear Theory · Physics 2026-04-28 E. Epelbaum , A. M. Gasparyan , J. Gegelia , D. Hog , H. Krebs