Shell-model coupled-cluster method for open-shell nuclei

Z. H. Sun, T. D. Morris, G. Hagen, G. R. Jansen, T. Papenbrock

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Abstract

We present an approach to derive effective shell-model interactions from microscopic nuclear forces. The similarity transformed coupled-cluster Hamiltonian decouples the single-reference state of a closed-shell nucleus and provides us with a core for the shell model. We use a second similarity transformation to decouple a shell-model space from the excluded space. We show that the three-body terms induced by both similarity transformations are crucial for an accurate computation of ground and excited states. As a proof of principle we use a nucleon-nucleon interaction from chiral effective field theory, employ a He4 core, and compute low-lying states of He6-8 and Li6-8 in p-shell model spaces. Our results agree with benchmarks from full configuration interaction.

Original languageEnglish
Article number054320
JournalPhysical Review C
Volume98
Issue number5
DOIs
StatePublished - Nov 28 2018

Funding

This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under Grants No. DEFG02-96ER40963 (University of Tennessee), Office of Advanced Scientific Computing No. DE-SC0008499 (SciDAC-3 NUCLEI), No. DE-SC0018223 (SciDAC-4 NUCLEI), and No. DE-SC0015376 (Double-Beta Decay Topical Collaboration), and the Field Work Proposals ERKBP57 and ERKBP72 at Oak Ridge National Laboratory (ORNL). Computer time was provided by the Innovative and Novel Computational Impact on Theory and Experiment (INCITE) program. This research used resources of the Oak Ridge Leadership Computing Facility located at ORNL, which is supported by the Office of Science of the Department of Energy under Contract No. DE-AC05-00OR22725.

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