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Based upon the Bonn meson-exchange-model for the nucleon-nucleon ($NN$) interaction, we calculate the charge-independence breaking (CIB) of the $NN$ interaction due to pion-mass splitting. Besides the one-pion-exchange (OPE), we take into…

Nuclear Theory · Physics 2008-11-26 G. Q. Li , R. Machleidt

We study elastic N$\alpha $ scattering and produce a quantitative correlation between the range of the effective potential and the energy of the system. This allows the identification of the waves and energies for which the scattering may…

Nuclear Theory · Physics 2016-08-15 L. A. Barreiro , R. Higa , C. L. Lima , M. R. Robilotta

We determine the chiral constants of the Nucleon-Nucleon Two Pion Exchange potential deduced from Chiral Perturbation Theory. By using a coarse grained representation of the short distance interactions with 30 parameters, the Partial Wave…

Nuclear Theory · Physics 2014-03-05 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

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 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…

Nuclear Theory · Physics 2011-12-16 M. Pavon Valderrama

Modern theory approaches for describing atomic nuclei often make use of on an effective theory that constructs the interaction between nucleons systematically based on Quantum Chromodynamics (QCD), exploiting constraints arising from the…

Nuclear Theory · Physics 2025-11-18 Songlin Lyu , Lin Zuo , Rui Peng , Sebastian König , Bingwei Long

We formulate a general and exact method of partial wave decomposition (PWD) of any nucleon-nucleon (NN) potential and any three-nucleon (3N) force. The approach allows one to efficiently use symbolic algebra software to generate the…

From the subsubleading chiral three-nucleon force [intermediate-range contributions, published in Phys. Rev. C\,87, 054007 (2013)] a density-dependent NN-interaction $V_\text{med}$ is derived in isospin-symmetric nuclear matter. Following…

Nuclear Theory · Physics 2021-02-01 N. Kaiser

Nucleon-nucleon ($NN$) interactions based on chiral effective theories are commonly used in ab initio calculations of light nuclei. Here we present a study based on three different NN interactions (up to next-to-next-to-leading order) for…

Nuclear Theory · Physics 2023-06-23 R. B. Baker , M. Burrows , Ch. Elster , P. Maris , G. Popa , S. P. Weppner

We quantify the posterior predictive distributions (PPDs) of elastic neutron-deuteron ($nd$) scattering cross sections using nucleon-nucleon ($NN$) interactions from chiral effective field theory ($\chi$EFT) up to and including…

Nuclear Theory · Physics 2023-02-08 Sean B. S. Miller , Andreas Ekström , Christian Forssén

We evaluate the contribution to the nucleon-nucleon interaction due to correlated $\pi\rho$ exchange in the $\pi$, $\omega$, and $A_1$/$H_1$ channels by means of dispersion-theoretic methods based on a realistic meson exchange model for the…

Nuclear Theory · Physics 2016-08-15 G. Janssen , K. Holinde , J. Speth

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

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

The nucleon-nucleon ($NN$) potential is the residual interaction of the strong interaction in the low-energy region and is also the fundamental input to the study of atomic nuclei. Based on the non-perturbative properties of the quantum…

Nuclear Theory · Physics 2024-10-02 Ke Nan , Jinniu Hu , Hong Shen , Ying Zhang

Nucleon-nucleon scattering in spin-triplet channels is analysed within an effective field theory where one-pion exchange is treated nonperturbatively. Justifying this requires the identification of an additional low-energy scale in the…

Nuclear Theory · Physics 2008-11-26 Michael C. Birse

We develop a framework for calculating nucleon-deuteron scattering using strict perturbation theory for treating subleading interactions in chiral effective field theory (ChEFT). Rather than using direct evaluations in the distorted-wave…

Nuclear Theory · Physics 2026-02-18 Lin Zuo , Wendi Chen , Dan-Yang Pang , Bingwei Long

Recently the nucleon-nucleon interaction derived using time-ordered perturbation theory in manifestly Lorentz-invariant chiral effective field theory was shown to yield promising results for peripheral neutron-proton scattering. In this…

Nuclear Theory · Physics 2026-05-13 Xiu-Lei Ren , E. Epelbaum , J. Gegelia

The effective interaction between a nucleon and a nucleus is one of the most important ingredients for reaction theories. Theoretical formulations were introduced early by Feshbach and Watson, and efforts of deriving and computing those…

Nuclear Theory · Physics 2023-06-23 R. B. Baker , M. Burrows , Ch. Elster , K. D. Launey , P. Maris , G. Popa , S. P. Weppner

We extend the renormalizability study of the formulation of chiral effective field theory with a finite cutoff, applied to nucleon-nucleon scattering, by taking into account non-perturbative effects. We consider the nucleon-nucleon…

Nuclear Theory · Physics 2023-04-19 A. M. Gasparyan , E. Epelbaum

The description of strong interaction physics of low-lying resonances is out of the valid range of perturbative QCD. Chiral effective field theories have been developed to tackle the issue. Partial wave dynamics is the systematic tool to…

High Energy Physics - Phenomenology · Physics 2021-10-26 De-Liang Yao , Ling-Yun Dai , Han-Qing Zheng , Zhi-Yong Zhou