Regulator artifacts in uniform matter for chiral interactions

A. Dyhdalo, R. J. Furnstahl, K. Hebeler, and I. Tews
Phys. Rev. C 94, 034001 – Published 2 September 2016

Abstract

Regulator functions applied to two- and three-nucleon forces are a necessary ingredient in many-body calculations based on chiral effective field theory interactions. These interactions have been developed recently with a variety of different cutoff forms, including regulating both the momentum transfer (local) and the relative momentum (nonlocal). While in principle any regulator that suppresses high-momentum modes can be employed, in practice artifacts are inevitable in current power counting schemes. Artifacts from particular regulators may cause significant distortions of the physics or may affect many-body convergence rates, so understanding their nature is important. Here we characterize the differences between cutoff effects using uniform matter at Hartree–Fock and second order in the interaction as a test-bed. This provides a clean laboratory to isolate phase-space effects of various regulators on both two- and three-nucleon interactions. We test the normal-ordering approximation for three-nucleon forces in nuclear matter and find that the relative size of the residual 3N contributions is sensitive to the employed regularization scheme.

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  • Received 21 March 2016

DOI:https://doi.org/10.1103/PhysRevC.94.034001

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

A. Dyhdalo1,*, R. J. Furnstahl1,†, K. Hebeler2,3,‡, and I. Tews2,3,4,§

  • 1Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA
  • 2Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
  • 3ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
  • 4Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195-1550, USA

  • *dyhdalo.2@osu.edu
  • furnstahl.1@osu.edu
  • kai.hebeler@physik.tu-darmstadt.de
  • §itews@uw.edu

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Issue

Vol. 94, Iss. 3 — September 2016

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