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 scattering and selected low-energy observables in , and . 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 scattering best suited to study three-nucleon-force effects and estimate the achievable accuracy of theoretical predictions for various observables.
- Received 3 June 2015
- Revised 11 November 2015
DOI:https://doi.org/10.1103/PhysRevC.93.044002
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