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, Ulf-G. Meißner, D. Minossi, A. Nogga, H. Potter, R. Roth, R. Skibiński, K. Topolnicki, J. P. Vary, and H. Witała (LENPIC Collaboration)
Phys. Rev. C 93, 044002 – Published 21 April 2016

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 H3,He4, and Li6. 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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  • Received 3 June 2015
  • Revised 11 November 2015

DOI:https://doi.org/10.1103/PhysRevC.93.044002

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

S. Binder1,2, A. Calci3, E. Epelbaum4, R. J. Furnstahl5, J. Golak6, K. Hebeler7,8, H. Kamada9, H. Krebs4, J. Langhammer7, S. Liebig10, P. Maris11, Ulf-G. Meißner12,10,13, D. Minossi10, A. Nogga10, H. Potter11, R. Roth7, R. Skibiński6, K. Topolnicki6, J. P. Vary11, and H. Witała6 (LENPIC Collaboration)

  • 1Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
  • 2Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
  • 3TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3 Canada
  • 4Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany
  • 5Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA
  • 6M. Smoluchowski Institute of Physics, Jagiellonian University, PL-30348 Kraków, Poland
  • 7Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
  • 8ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
  • 9Department of Physics, Faculty of Engineering, Kyushu Institute of Technology, Kitakyushu 804-8550, Japan
  • 10Institut für Kernphysik, Institute for Advanced Simulation, Jülich Center for Hadron Physics and JARA - High Performance Computing, Forschungszentrum Jülich, D-52425 Jülich, Germany
  • 11Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA
  • 12Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany
  • 13JARA - High Performance Computing, Forschungszentrum Jülich, D-52425 Jülich, Germany

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Issue

Vol. 93, Iss. 4 — April 2016

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