Ab Initio Calculations of Medium-Mass Nuclei with Explicit Chiral 3N Interactions

Abstract

We present the first ab initio coupled-cluster calculations of medium-mass nuclei with explicit chiral three-nucleon (3N) interactions. Using a spherical formulation of coupled cluster with singles and doubles excitations including explicit 3N contributions, we study ground states of 16,24-O, 40,48-Ca and 56-Ni. We employ chiral NN plus 3N interactions softened through a similarity renormalization group (SRG) transformation at the three-body level. We investigate the impact of all truncations and quantify the resulting uncertainties---this includes the contributions from triples excitations, the truncation of the set of three-body matrix elements, and the omission of SRG-induced four-body interactions. Furthermore, we assess the quality of a normal-ordering approximation of the 3N interaction beyond light nuclei. Our study points towards the predictive power of chiral Hamiltonians in the medium-mass regime.

6 pages, 3 figures, 2 tables

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• Coupled-cluster theory for three-body Hamiltonians
• Medium-mass nuclei from chiral nucleon-nucleon interactions
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves

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• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Ab Initio Multi-Reference In-Medium Similarity Renormalization Group Calculations of Even Calcium and Nickel Isotopes
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• All-charm tetraquark in front form dynamics
• Normal ordering of three-nucleon interactions for ab initio calculations of heavy nuclei
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• Similarity Renormalization Group Evolution of Three-Nucleon Forces in a Hyperspherical Momentum Representation
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• Neutron-rich nuclei and neutron skins from chiral low-resolution interactions