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Related papers: Relativistic $O(q^4)$ two-pion exchange nucleon-nu…

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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 argue that the minimal chiral background for the two-pion exchange nucleon-nucleon interaction has nowadays a rather firm conceptual basis, which entitles it to become a standard ingredient of any modern potential. In order to facilitate…

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

We present a relativistic procedure for the chiral expansion of the two-pion exchange component of the $NN$ potential, which emphasizes the role of intermediate $\pi N$ subamplitudes. The relationship between power counting in $\pi N$ and…

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

We present the expansion of the two-pion exchange three-nucleon potential (TPE-3NP) to chiral order q^4, which corresponds to a subset of all possibilities at this order and is based on the \piN amplitude at O(q^3). Results encompass both…

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

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

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

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

We derive the leading contribution to the four-nucleon force within the framework of chiral effective field theory. It is governed by the exchange of pions and the lowest-order nucleon-nucleon contact interaction and includes effects due to…

Nuclear Theory · Physics 2009-07-28 E. Epelbaum

Elastic pion-pion and pion-nucleon scattering are reviewed in the context of chiral perturbation theory. Theoretical results from systematic low-energy expansions to O(p^6) for pion-pion and to O(p^3) for pion-nucleon scattering are…

High Energy Physics - Phenomenology · Physics 2009-10-30 Gerhard Ecker

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

We analyse the interplay between nucleon-nucleon potentials deduced from chiral perturbation theory and a coarse grained representation of the short distance interactions by delta-shells potentials below a certain cut-off distance. While we…

Nuclear Theory · Physics 2013-01-30 Rodrigo Navarro Perez , J. E. Amaro , E. Ruiz Arriola

We study the two-pion exchange potential at next-to-next-to-leading order in chiral effective field theory. We propose a new cut-off scheme for the pion loop integrals based on spectral function regularization. We show that this method…

Nuclear Theory · Physics 2014-11-18 Evgeny Epelbaum , Walter Glöckle , Ulf-G. Meißner

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

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

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

A chiral pion-nucleon amplitude supplemented by the HJS subthreshold coefficients is used to calculate the the long range part of the two-pion exchange nucleon-nucleon potential. In our expressions the HJS coefficients factor out, allowing…

Nuclear Theory · Physics 2009-10-30 Manoel R. Robilotta , Carlos A. da Rocha

The central two-pion exchange NN potential at large distances is studied in the framework of relativistic chiral symmetry and related directly to the nucleon scalar form factor, which describes the mass density of its pion cloud. This…

Nuclear Theory · Physics 2009-11-06 M. R. Robilotta

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 present an accurate nucleon-nucleon (NN) potential based upon chiral effective Lagrangians. The model includes one- and two-pion exchange contributions up to chiral order three and contact terms (which represent the short range force) up…

Nuclear Theory · Physics 2017-08-23 D. R. Entem , R. Machleidt

The renormalization of the NN interaction with the Chiral Two Pion Exchange Potential computed using relativistic baryon chiral perturbation theory is considered. The short distance singularity reduces the number of counter-terms to about a…

Nuclear Theory · Physics 2008-11-26 R. Higa , M. Pavon Valderrama , E. Ruiz Arriola
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