Angular-momentum projection in coupled-cluster theory: Structure of Mg 34

G. Hagen, S. J. Novario, Z. H. Sun, T. Papenbrock, G. R. Jansen, J. G. Lietz, T. Duguet, A. Tichai

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39 Scopus citations

Abstract

Single-reference coupled-cluster theory is an accurate and affordable computational method for the nuclear many-body problem. For open-shell nuclei, the reference state typically breaks rotational invariance and angular momentum must be restored as a good quantum number. We perform angular-momentum projection after variation and employ the disentangled coupled-cluster formalism and a Hermitian approach. We compare our results with benchmarks for Be8 and Ne20 using a two-nucleon interaction from chiral effective field theory and for pf-shell nuclei within the traditional shell model. We compute the rotational band in the exotic nucleus Mg34 and find agreement with data.

Original languageEnglish
Article number064311
JournalPhysical Review C
Volume105
Issue number6
DOIs
StatePublished - Jun 2022

Funding

We thank T. M. Henderson for many useful discussions and for sharing his numerical programs with us. We also thank T. D. Morris for many useful discussions, and M. Caprio and K. Launey for sharing their results with us. This work was supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under Awards No. DE-FG02-96ER40963 and No. DE-SC0018223. A.T. was supported in part by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation), Project-ID 279384907, SFB 1245 and by the European Research Council (ERC) under the European Union's Horizon 2020 Research and Innovation Programme (Grant Agreement No. 101020842). Computer time was provided by the Innovative and Novel Computational Impact on Theory and Experiment (INCITE) programme. This research used resources of the Oak Ridge Leadership Computing Facility located at Oak Ridge National Laboratory, which is supported by the Office of Science of the Department of Energy and is managed by UT-Battelle, LLC, under contract No. DE-AC05-00OR22725. The U.S. Government retains and the publisher, by accepting the article for publication, acknowledges that the U.S. Government retains a non-exclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for U.S. Government purposes.

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