Similarity-Transformed Chiral NN+3N Interactions for the Ab Initio Description of C12 and O16

Robert Roth, Joachim Langhammer, Angelo Calci, Sven Binder, and Petr Navrátil
Phys. Rev. Lett. 107, 072501 – Published 9 August 2011

Abstract

We present first ab initio no-core shell model (NCSM) calculations using similarity renormalization group (SRG) transformed chiral two-nucleon (NN) plus three-nucleon (3N) interactions for nuclei throughout the p-shell, particularly C12 and O16. By introducing an adaptive importance truncation for the NCSM model space and an efficient JT-coupling scheme for the 3N matrix elements, we are able to surpass previous NCSM studies including 3N interactions. We present ground and excited states in C12 and O16 for model spaces up to Nmax=12 including full 3N interactions. We analyze the contributions of induced and initial 3N interactions and probe induced 4N terms through the sensitivity of the energies on the SRG flow parameter. Unlike for light p-shell nuclei, SRG-induced 4N contributions originating from the long-range two-pion terms of the chiral 3N interaction are sizable in C12 and O16.

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  • Received 13 May 2011

DOI:https://doi.org/10.1103/PhysRevLett.107.072501

© 2011 American Physical Society

Authors & Affiliations

Robert Roth1,*, Joachim Langhammer1, Angelo Calci1, Sven Binder1, and Petr Navrátil2,3

  • 1Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
  • 2TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3, Canada
  • 3Lawrence Livermore National Laboratory, Post Office Box 808, L-414, Livermore, California 94551, USA

  • *robert.roth@physik.tu-darmstadt.de

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Vol. 107, Iss. 7 — 12 August 2011

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