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arXiv:1505.07218·v1·Nuclear Theory

Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces

S. Binder🇺🇸 · A. Calci🇨🇦 · E. Epelbaum🇩🇪 · R.J. Furnstahl🇺🇸 · J. Golak🇵🇱 · K. Hebeler🇩🇪 · H. Kamada🇯🇵 · H. Krebs🇩🇪 · J. Langhammer🇩🇪 · S. Liebig🇩🇪 · P. Maris🇺🇸 · U.-G. Meißner🇩🇪

Abstract

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 in 3H, 4He, and 6Li. Calculations beyond second order differ from experiment well outside the range of quantified uncertainties, providing truly unambiguous evidence for missing three-nucleon forces within the employed framework. The sizes of the required three-nucleon force contributions agree well with expectations based on Weinberg's power counting. We identify the energy range in elastic Nd scattering best suited to study three-nucleon force effects and estimate the achievable accuracy of theoretical predictions for various observables.

Comments: 5 pages, 5 figures

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