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Related papers: Two-pion exchange nucleon-nucleon potential:O(q^4)…

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Employing the covariant baryon chiral perturbation theory, we calculate the leading and next-to-leading order two-pion exchange (TPE) contributions to $NN$ interaction up to order $O(p^3)$. We compare the so-obtained $NN$ phase shifts with…

Nuclear Theory · Physics 2020-11-18 Yang Xiao , Chun-Xuan Wang , Jun-Xu Lu , Li-Sheng Geng

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

We outline the progress made in the past five years by the S\~ao Paulo group in the development of a two-pion exchange nucleon-nucleon potential within a Lorentz-invariant framework of (baryon) chiral perturbation theory.

Nuclear Theory · Physics 2008-11-26 Renato Higa , Manoel R. Robilotta , Carlos A. da Rocha

The lower excitation spectrum of the nucleon and $\Delta$ is calculated in a relativistic chiral quark model. Contributions of the second order self-energy and exchange diagrams due-to pion fields to the mass spectrum of the SU(2) baryons…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. M. Tursunov

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

Nuclear potentials are known to exhibit a considerable degree of scheme dependence. For one- and two-pion exchange nucleon-nucleon (NN) potentials, unitary ambiguities start showing up at the level of the leading relativistic corrections to…

Nuclear Theory · Physics 2025-05-06 Victor Springer , Hermann Krebs , Evgeny Epelbaum

We derive the long-range components of the nucleon-nucleon (NN) two-pion-exchange potential with an intermediate Roper resonance. Leading-order interactions in heavy-baryon chiral perturbation theory are considered. NN phase shifts with…

Nuclear Theory · Physics 2026-03-02 Yang Xiao , Li-Sheng Geng , U. van Kolck

Off-shell aspects of the one-pion-exchange potential and their relationship to different forms of the nonstatic (subleading-order) chiral two-pion-exchange nucleon-nucleon potential are discussed. Various types of off-shell behavior are…

Nuclear Theory · Physics 2014-11-18 J. L. Friar

We calculate in (two-loop) chiral perturbation theory the local NN-potentials generated by the three-pion exchange diagrams proportional to g_A^4 and g_A^6. Surprisingly, we find that the total isoscalar central $3\pi$-exchange potential…

Nuclear Theory · Physics 2009-10-31 N. Kaiser

We have analyzed pion-nucleon scattering using the manifestly relativistic covariant frameworks of Infrared Regularization (IR) and Extended-On-Mass-Shell (EOMS) up to O(q^3) in the chiral expansion, where q is a generic small momentum. We…

Nuclear Theory · Physics 2011-07-21 J. M. Alarcón , J. Martín Camalich , J. A. Oller , L. Alvarez-Ruso

Recently we have proposed a new cut-off scheme for pion loop integrals in the two-pion exchange potential. This method allows for a consistent implementation of constraints from pion-nucleon scattering and has been successfully applied to…

Nuclear Theory · Physics 2007-05-23 E. Epelbaum , W. Glöckle , Ulf-G. Meißner

Chiral perturbation theory is nowadays a well-established approach to incorporate the chiral constraints from QCD. Nevertheless, for systems involving one baryon, the power counting which dictates the chiral order of observables is not as…

Nuclear Theory · Physics 2014-11-20 Renato Higa

We consider the two-nucleon system at next-to-next-to-next-to-leading order (N^3LO) in chiral effective field theory. The two-nucleon potential at N^3LO consists of one-, two- and three-pion exchanges and a set of contact interactions with…

Nuclear Theory · Physics 2014-11-18 E. Epelbaum , W. Glöckle , Ulf-G. Meißner

The chiral two-pion exchange component of the long-range pp interaction is studied in an energy-dependent partial-wave analysis. We demonstrate its presence and importance, and determine the chiral parameters c_i (i=1,3,4). The values agree…

Nuclear Theory · Physics 2009-07-09 M. C. M. Rentmeester , R. G. E. Timmermans , J. L. Friar , J. J. de Swart

The pion-mass-dependent nucleon-nucleon ($NN$) potentials in term of one-pion exchange and contact terms are obtained from the latest lattice QCD simulations of two-nucleon system, which employ the forms of leading order (LO) $NN$ potential…

Nuclear Theory · Physics 2020-08-26 Jinniu Hu , Ying Zhang , Hong Shen , Hiroshi Toki

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

A complete calculation of the pion-nucleon loops that contribute to the transition operator for $NN\to NN\pi$ up-to-and-including next-to-next-to-leading order (N$^2$LO) in chiral effective field theory near threshold is presented. The…

Nuclear Theory · Physics 2013-05-30 A. A. Filin , V. Baru , E. Epelbaum , C. Hanhart , H. Krebs , A. E. Kudryavtsev , F. Myhrer

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 explore the impact of perturbative pions on the Unitarity Expansion in the two-nucleon S-waves of Chiral Effective Field Theory at next-to-next-to leading order. Pion exchange explicitly breaks the nontrivial fixed point's universality…

Nuclear Theory · Physics 2025-09-16 Yu Ping Teng , Harald W. Griesshammer

The recently derived long-range two-pion exchange (TPE) contributions to the nuclear current operator which appear at next-to-leading order (NLO) of the chiral expansion are used to describe electromagnetic processes. We study their role in…

Nuclear Theory · Physics 2011-08-03 D. Rozpedzik , J. Golak , S. Kolling , E. Epelbaum , R. Skibinski , H. Witala , H. Krebs