Mainz 2022 – scientific programme
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HK: Fachverband Physik der Hadronen und Kerne
HK 70: Structure and Dynamics of Nuclei XII
HK 70.5: Talk
Thursday, March 31, 2022, 17:15–17:30, HK-H6
Novel normal ordering framework for heavy nuclei — •Jan Hoppe1,2, Kai Hebeler1,2,3, Victoria Durant4, Johannes Simonis5, Matthias Heinz1,2,3, Achim Schwenk1,2,3, and Alexander Tichai1,2,3 — 1Technische Universität Darmstadt, Department of Physics — 2ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH — 3Max-Plank Institut für Kernphysik, Heidelberg — 4Institut für Kernphysik, Johannes Gutenberg-Universität Mainz — 5Jülich Supercomputing Centre
The inclusion of three-nucleon (3N) interactions plays a central role in the solution of the nuclear many-body problem, e.g., for the structure of finite nuclei or bulk properties of nuclear matter, but still represents a computational frontier. Normal-ordering (NO) has proven to be a powerful tool to systematically include 3N interactions in an efficient way. However, traditional NO frameworks require the representation of 3N interactions in a large single-particle basis, which typically necessitates a truncation on the 3N matrix elements. While these truncations have only a minor impact up to medium-mass nuclei, their effects become sizable for heavier systems and hence limit the scope of ab initio calculations. We present a novel NO framework that allows to circumvent this drawback by performing the NO directly in the Jacobi basis. We systematically study the convergence behavior of results obtained in this framework and present results for ground-state energies of selected nuclei up to 132Sn. *Funded by the DFG - Project-ID 279384907 - SFB 1245 and by the ERC Grant Agreement No. 101020842.