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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…

核理论 · 物理学 2007-05-23 E. Epelbaum , W. Glöckle , Ulf-G. Meißner

In the effective field theory formalism nuclear forces are organized as a low energy expansion. Usually the lowest order in this expansion corresponds to the non-perturbative iteration of the one-pion exchange potential and a few…

核理论 · 物理学 2024-10-25 Manuel Pavon Valderrama

We present improved nucleon-nucleon potentials derived in chiral effective field theory up to next-to-next-to-next-to-leading order. We argue that the nonlocal momentum-space regulator employed in the two-nucleon potentials of Refs. [E.…

核理论 · 物理学 2015-06-11 E. Epelbaum , H. Krebs , U. -G. Meißner

We study the nucleon-nucleon interaction up to next-to-next-to-leading order using time-ordered perturbation theory in the framework of manifestly Lorentz-invariant chiral effective field theory. We present the two-pion exchange…

核理论 · 物理学 2022-09-12 Xiu-Lei Ren , E. Epelbaum , J. Gegelia

We introduce new semilocal two-nucleon potentials up to fifth order in the chiral expansion. We employ a simple regularization approach for the pion-exchange contributions which (i) maintains the long-range part of the interaction, (ii) is…

核理论 · 物理学 2018-07-04 P. Reinert , H. Krebs , E. Epelbaum

We study the perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering for p- and d-waves within the effective field theory approach. The one pion exchange potential is fully iterated at the leading order in…

核理论 · 物理学 2011-12-16 M. Pavon Valderrama

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…

核理论 · 物理学 2009-10-30 N. Kaiser , R. Brockmann , W. Weise

Low-energy nuclear interactions have been extensively studied in the framework of chiral effective field theory. The corresponding potentials have been worked out using dimensional regularization to evaluate ultraviolet divergent loop…

核理论 · 物理学 2023-11-21 Hermann Krebs , 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…

核理论 · 物理学 2025-11-25 Jun-Xu Lu , Li-Sheng Geng

The renormalization of the chiral nuclear interactions is studied. In leading order, the cutoff dependence is related to the singular tensor interaction of the one-pion exchange potential. In S waves and in higher partial waves where the…

核理论 · 物理学 2008-11-26 A. Nogga , R. G. E. Timmermans , U. van Kolck

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,…

核理论 · 物理学 2014-07-17 J. de Vries , N. Li , Ulf-G. Meißner , N. Kaiser , X. -H. Liu , S. -L. Zhu

We present a study of two-nucleon scattering in chiral effective field theory with a finite cutoff to next-to-leading order in the chiral expansion. In the proposed scheme, the contributions of the lowest-order interaction to the scattering…

核理论 · 物理学 2022-02-23 A. M. Gasparyan , E. Epelbaum

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,…

核理论 · 物理学 2022-08-29 Chinmay Mishra , A. Ekström , G. Hagen , T. Papenbrock , L. Platter

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…

核理论 · 物理学 2015-01-14 D. R. Entem , N. Kaiser , R. Machleidt , Y. Nosyk

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…

核理论 · 物理学 2008-11-26 Hermann Krebs , Evgeny Epelbaum , Ulf-G. Meißner

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…

核理论 · 物理学 2014-11-18 E. Epelbaum , W. Glöckle , 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…

核理论 · 物理学 2013-05-30 Hermann Krebs , Ashot Gasparyan , Evgeny Epelbaum

We report a next-to-leading-order (NLO) chiral perturbation theory calculation of the neutron-proton scattering cross section in the ${}^1S_0$ channel using a cut-off regularization. The inclusion of two-pion exchanges in the irreducible…

核理论 · 物理学 2014-11-18 C. H. Hyun , T. -S. Park , D. -P. Min

Peripheral nucleon-nucleon scattering is analysed in the framework of an effective field theory. Distorted-wave methods are used to remove the effects of one-pion exchange. Two-pion exchange and recoil corrections to one-pion exchange are…

核理论 · 物理学 2009-11-10 Michael C. Birse , Judith A. McGovern

We employ the chiral nucleon-nucleon potential derived in ref.[1] to study bound and scattering states in the two-nucleon system. At next-to-leading order, this potential is the sum of renormalized one-pion and two-pion exchange and contact…

核理论 · 物理学 2011-05-05 E. Epelbaum , W. Glöckle , Ulf-G. Meißner
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