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Related papers: Three-pion exchange: a gap in the nucleon-nucleon …

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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

Three recent experiments, which looked at pionic effects in nuclei have concluded that there are no excess pions. This puts into serious question the conventional meson-exchange picture of the nucleon-nucleon interaction. Based on arguments…

Nuclear Theory · Physics 2009-10-28 G. E. Brown , M. Buballa , Zi Bang Li , J. Wambach

We study the interactions of an elementary pion with a nucleon made of constituent quarks and show that the enforcement of chiral symmetry requires the use of a two-body operator, whose form does not depend on the choice of the pion-quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. M. Maekawa , M. R. Robilotta

In the rest frame of a many-body system, used in the calculation of its static and scattering properties, the center of mass of a two-body subsystem is allowed to drift. We show, in a model independent way, that drift corrections to the…

Nuclear Theory · Physics 2014-11-18 M. R. Robilotta

Within the one-loop approximation of baryon chiral perturbation theory we calculate all one-pion and two-pion exchange contributions to the nucleon-nucleon interaction. In fact we construct the elastic NN-scattering amplitude up to and…

Nuclear Theory · Physics 2009-10-30 N. Kaiser , R. Brockmann , W. Weise

The standard way to demonstrate the relevance of chiral symmetry for the NN interaction is to consider higher partial waves of NN scattering which are controlled entirely by chiral pion-exchanges (since contacts vanish). However, in…

Nuclear Theory · Physics 2021-01-19 H. Alanazi , R. Machleidt

We present the dominant two- and three-pion-exchange contributions to the nucleon-nucleon interaction at sixth order (next-to-next-to-next-to-next-to-next-to-leading order, N5LO) of chiral perturbation theory. Phase shifts with orbital…

Nuclear Theory · Physics 2015-12-16 D. R. Entem , N. Kaiser , R. Machleidt , Y. Nosyk

Leading-order electromagnetic loop corrections to the one-pion-exchange potential are computed within the framework of chiral perturbation theory. These corrections generate an effective nucleon-nucleon potential, $V_{\pi \gamma}$, which…

Nuclear Theory · Physics 2008-11-26 U. van Kolck , M. C. M. Rentmeester , J. L. Friar , T. Goldman , J. J. de Swart

A systematic calculation of nuclear matter is performed which includes the long-range correlations between nucleons arising from one- and two-pion exchange. Three-body effects from $2\pi$-exchange with excitations of virtual…

Nuclear Theory · Physics 2008-11-26 N. Kaiser , M. Mühlbauer , W. Weise

We analyze the longest-range two-pion exchange contributions to the three-nucleon force at leading-loop order in the framework of heavy-baryon chiral effective field theory with explicit $\Delta(1232)$ degrees of freedom. All relevant…

Nuclear Theory · Physics 2018-08-08 H. Krebs , A. M. Gasparyan , E. Epelbaum

We calculate in chiral perturbation theory the dominant next-to-leading order correction to the $\pi\gamma$-exchange NN-potential proportional to the large isovector magnetic moment $\kappa_v = 4.7$ of the nucleon. The corresponding…

Nuclear Theory · Physics 2008-11-26 N. Kaiser

We derive the one-pion exchange potential (OPEP) in the presence of a homogeneous magnetic field using chiral perturbation theory with nonrelativistic nucleons. Our approach is applicable not only to weak magnetic fields but also to strong…

Nuclear Theory · Physics 2026-03-31 Daiki Miura , Masaru Hongo , Hidetoshi Taya , Tetsuo Hatsuda

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 present the two-pion exchange contributions to the nucleon-nucleon interaction up to next-to-next-to-next-to leading order (N$^3$LO) in covariant baryon chiral perturbation theory. Both one-loop and two-loop diagrams are calculated with…

Nuclear Theory · Physics 2025-11-25 Jun-Xu Lu , Li-Sheng Geng

We have recently performed a relativistic $O(q^4)$ chiral expansion of the two-pion exchange $NN$ potential, and here we explore its configuration space content. Interactions are determined by three families of diagrams, two of which…

Nuclear Theory · Physics 2009-11-10 Renato Higa , Manoel R. Robilotta , Carlos A. da Rocha

We show that chiral symmetry is responsible for large cancellations in the two-pion exchange nucleon-nucleon interaction, which are similar to those occuring in free pion-nucleon scattering.

High Energy Physics - Phenomenology · Physics 2016-08-15 J-L. Ballot , M. R. Robilotta , C. A. da Rocha

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

The contribution of a $\pi \pi$-exchange three-body force to the three-nucleon binding energy is calculated in terms of a $\pi N$ amplitude. The latter is based on a meson-theoretical model of $\pi N$ interaction developed by the J\"ulich…

Nuclear Theory · Physics 2015-06-26 T. -Y. Saito , J. Haidenbauer

We use a recently improved version of the chiral nucleon-nucleon potential at next-to-next-to-leading order to calculate the $^1S_0$ pairing gap in isospin-symmetric nuclear matter. The pairing potential consists of the long-range one- and…

Nuclear Theory · Physics 2009-11-10 N. Kaiser , T. Niksic , D. Vretenar

Pion exchange is the central ingredient to nucleon-nucleon interactions used in nuclear structure calculations, and one pion exchange (OPE) enters at leading order in chiral effective field theory. In the $^{2S+1}L_J={^1S_0}$ partial wave,…

Nuclear Theory · Physics 2022-08-29 Chinmay Mishra , A. Ekström , G. Hagen , T. Papenbrock , L. Platter