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Based on a counting scheme for the application of chiral perturbation theory to pion production in NN collisions p-wave production is studied. It is demonstrated that, contrary to the s-wave production where loops enter at too low an order…

Nuclear Theory · Physics 2007-05-23 C. Hanhart

There is an increasing interest in quantifying the predictive power in nuclear structure calculations. We discuss how both experimental and systematic errors at the NN-level can be used to estimate the theoretical uncertainties by rather…

Nuclear Theory · Physics 2012-06-18 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

From recent charge exchange measurements in the extreme forward direction, an independent and precise determination of the pion nucleon coupling constant is possible. This determination has reopened the debate on the value of this…

High Energy Physics - Phenomenology · Physics 2012-07-19 F. Myhrer

Predictive power in theoretical nuclear physics has been a major concern in the study of nuclear structure and reactions. The Effective Field Theory (EFT) based on chiral expansions provides a model independent hierarchy for many body…

Nuclear Theory · Physics 2017-04-05 E. Ruiz Arriola , J. E. Amaro , R. Navarro Perez

We analyze the peripheral structure of the nucleon-nucleon interaction for LAB energies below 350 MeV. To this end we transform the scattering matrix into the impact parameter representation by analyzing the scaled phase shifts $(L+1/2)…

Nuclear Theory · Physics 2018-03-14 I. Ruiz Simo , J. E. Amaro , E. Ruiz Arriola , R. Navarro Perez

We give a brief review on the development of phenomenological NN interactions and the corresponding quantification of statistical uncertainties. We look into the uncertainty of effective interactions broadly used in mean field calculations…

Nuclear Theory · Physics 2016-02-01 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

A partial-wave analysis (PWA) of NN elastic scattering data has been completed. This analysis covers an expanded energy range, from threshold to a laboratory kinetic energy of 3 GeV, in order to include recent elastic pp polarized…

Nuclear Theory · Physics 2011-08-12 Richard A. Arndt , Igor I. Strakovsky , Ron L. Workman

The longest-range part of the nuclear force due to the one-pion exchange governs the energy dependence of the scattering amplitude in the near-threshold region and imposes correlations between the coefficients in the effective range…

Nuclear Theory · Physics 2015-07-15 V. Baru , E. Epelbaum , A. A. Filin , J. Gegelia

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

Embedded in the historical context, we review recent progress in the development of nucleon-nucleon (NN) potentials based upon chiral effective field theory. A major breakthrough is the construction of the first NN potential at…

Nuclear Theory · Physics 2015-06-26 R. Machleidt , D. R. Entem

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

Phenomenological Lagrangians and dimensional power counting are used to assess isospin violation in the nucleon-nucleon force. The $\pi NN$ coupling constants (including the Goldberger-Treiman discrepancy), charge-symmetry breaking, and…

Nuclear Theory · Physics 2008-11-26 U. van Kolck , J. L. Friar , T. Goldman

Within the framework of chiral effective field theory, perturbative calculation for $NN$ scattering is carried out in partial waves with orbital angular momentum $L \geqslant 1$. The primary goal is to identify the lowest angular momenta at…

Nuclear Theory · Physics 2019-02-26 Shaowei Wu , Bingwei Long

Replying to the above Comment by G.Q.Li and R.Machleidt, we point out that the supposed "flaws" in our Comparison of NN potential models with the pp- scattering data [ Phys.Rev.C47,761(1993) ] are in reality not flaws at all.

Nuclear Theory · Physics 2007-05-23 V. Stoks , J. J. de Swart

We present the most accurate and complete data set for the analyzing power Ay(theta) in neutron-proton scattering. The experimental data were corrected for the effects of multiple scattering, both in the center detector and in the neutron…

We apply improved nucleon-nucleon potentials up to fifth order in chiral effective field theory, along with a new analysis of the theoretical truncation errors, to study nucleon-deuteron (Nd) scattering and selected low-energy observables…

We provide a successful fit for proton-neutron scattering below pion production threshold up to LAB energies of 350 MeV. We use seven high-quality fits based on potentials with different forms as a measure of the systematic uncertainty. We…

Nuclear Theory · Physics 2013-06-27 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

Systematic errors in the database of $np$ differential cross sections below 350 MeV are studied. By applying angle-dependent normalizations with the help of the energy-dependent Nijmegen partial-wave analysis PWA93 the $\chi^2$-values of…

Nuclear Theory · Physics 2009-11-07 J. J. de Swart , R. G. E. Timmermans

After a historical review, I present the progress in the field of realistic NN potentials that we have seen in recent years. A new generation of very quantitative (high-quality/high-precision) NN potentials has emerged. These potentials…

Nuclear Theory · Physics 2009-10-31 R. Machleidt

The $N \to \Delta$ weak vertex provides an important contribution to the one pion production in neutrino-nucleon and neutrino-nucleus scattering for $\pi N$ invariant masses below 1.4 GeV. Beyond its interest as a tool in neutrino detection…

Nuclear Theory · Physics 2015-06-17 C. Barbero , G. López Castro , A. Mariano