Alternative similarity renormalization group generators in nuclear structure calculations

Nuiok M. Dicaire, Conor Omand, and Petr Navrátil
Phys. Rev. C 90, 034302 – Published 4 September 2014

Abstract

The similarity renormalization group (SRG) has been successfully applied to soften interactions for ab initio nuclear calculations. In almost all practical applications in nuclear physics, an SRG generator with the kinetic energy operator is used. With this choice, a fast convergence of many-body calculations can be achieved, but at the same time substantial three-body interactions are induced even if one starts from a purely two-nucleon (NN) Hamiltonian. Three-nucleon (3N) interactions can be handled by modern many-body methods. However, it has been observed that when including initial chiral 3N forces in the Hamiltonian, the SRG transformations induce a non-negligible four-nucleon interaction that cannot be currently included in the calculations for technical reasons. Consequently, it is essential to investigate alternative SRG generators that might suppress the induction of many-body forces while at the same time might preserve the good convergence. In this work we test two alternative generators with operators of block structure in the harmonic oscillator basis. In the no-core shell model calculations for 3H, 4He, and 6Li with chiral NN force, we demonstrate that their performances appear quite promising.

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  • Received 10 June 2014
  • Revised 8 August 2014

DOI:https://doi.org/10.1103/PhysRevC.90.034302

©2014 American Physical Society

Authors & Affiliations

Nuiok M. Dicaire1,2,*, Conor Omand3,2,†, and Petr Navrátil2,‡

  • 1Department of Physics, University of Ottawa, Ottawa, Ontario, K1N 6N5, Canada
  • 2TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3, Canada
  • 3Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia, V6T 1Z4, Canada

  • *ndica015@uottawa.ca
  • comand92@hotmail.com
  • navratil@triumf.ca

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Vol. 90, Iss. 3 — September 2014

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