Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies

K. Hebeler, H. Krebs, E. Epelbaum, J. Golak, and R. Skibiński
Phys. Rev. C 91, 044001 – Published 15 April 2015

Abstract

We present a novel framework to decompose three-nucleon forces in a momentum-space partial-wave basis. The new approach is computationally much more efficient than previous methods and opens the way to ab initio studies of few-nucleon scattering processes, nuclei, and nuclear matter based on higher-order chiral three-nucleon forces. We use the new framework to calculate matrix elements of chiral three-nucleon forces at next-to-next-to-leading-order and next-to-next-to-next-to-leading-order in large basis spaces and carry out benchmark calculations for neutron matter and symmetric nuclear matter. We also study the size of the individual three-nucleon-force contributions for H3. For nonlocal regulators, we find that the subleading terms, which have been neglected in most calculations so far, provide important contributions. All matrix elements are calculated and stored in a user-friendly way, such that values of low-energy constants as well as the form of regulator functions can be chosen freely.

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  • Received 24 February 2015

DOI:https://doi.org/10.1103/PhysRevC.91.044001

©2015 American Physical Society

Authors & Affiliations

K. Hebeler1,2,*, H. Krebs3,†, E. Epelbaum3,‡, J. Golak4,§, and R. Skibiński4,∥

  • 1Technische Universität Darmstadt, 64289 Darmstadt, Germany
  • 2ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
  • 3Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany
  • 4M. Smoluchowski Institute of Physics, Jagiellonian University, PL-30348 Krakow, Poland

  • *kaihebeler@physik.tu-darmstadt.de
  • Hermann.Krebs@tp2.ruhr-uni-bochum.de
  • Evgeny.Epelbaum@ruhr-uni-bochum.de
  • §ufgolak@cyf-kr.edu.pl
  • roman.skibinski@uj.edu.pl

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Issue

Vol. 91, Iss. 4 — April 2015

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