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arXiv · 1505.07218

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·D. Minossi·A. Nogga·H. Potter·R. Roth·R. Skibinski·K. Topolnicki·J. P. Vary·H. Witala
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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.

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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, D. Minossi, A. Nogga, H. Potter, R. Roth, R. Skibinski, K. Topolnicki, J. P. Vary, H. Witala. 2015-05-27. Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces. https://doi.org/10.1103/physrevc.93.044002

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