In-medium similarity renormalization group with three-body operators

M. Heinz, A. Tichai, J. Hoppe, K. Hebeler, and A. Schwenk
Phys. Rev. C 103, 044318 – Published 23 April 2021

Abstract

Over the past decade the in-medium similarity renormalization group (IMSRG) approach has proven to be a powerful and versatile ab initio many-body method for studying medium-mass nuclei. So far, the IMSRG was limited to the approximation in which only up to two-body operators are incorporated in the renormalization group flow, referred to as the IMSRG(2). In this work, we extend the IMSRG(2) approach to fully include three-body operators yielding the IMSRG(3) approximation. We use a perturbative scaling analysis to estimate the importance of individual terms in this approximation and introduce truncations that aim to approximate the IMSRG(3) at a lower computational cost. The IMSRG(3) is systematically benchmarked for different nuclear Hamiltonians for He4 and O16 in small model spaces. The IMSRG(3) systematically improves over the IMSRG(2) relative to exact results. Approximate IMSRG(3) truncations constructed based on computational cost are able to reproduce much of the systematic improvement offered by the full IMSRG(3). We also find that the approximate IMSRG(3) truncations behave consistently with expectations from our perturbative analysis, indicating that this strategy may also be used to systematically approximate the IMSRG(3).

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  • Received 24 February 2021
  • Accepted 5 April 2021

DOI:https://doi.org/10.1103/PhysRevC.103.044318

©2021 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

M. Heinz1,2,*, A. Tichai1,2,3,†, J. Hoppe1,2,‡, K. Hebeler1,2,§, and A. Schwenk1,2,3,∥

  • 1Department of Physics, Technische Universität Darmstadt, 64289 Darmstadt, Germany
  • 2ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
  • 3Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany

  • *mheinz@theorie.ikp.physik.tu-darmstadt.de
  • alexander.tichai@physik.tu-darmstadt.de
  • jhoppe@theorie.ikp.physik.tu-darmstadt.de
  • §kai.hebeler@physik.tu-darmstadt.de
  • schwenk@physik.tu-darmstadt.de

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Issue

Vol. 103, Iss. 4 — April 2021

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