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arxiv: 1505.07218 · v1 · pith:BUOOHUF6new · submitted 2015-05-27 · ⚛️ nucl-th

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

classification ⚛️ nucl-th
keywords three-nucleonchiralforceforcesnucleon-nucleonobservablesorderrange
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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.

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