Ab-initio coupled-cluster effective interactions for the shell model: Application to neutron-rich oxygen and carbon isotopes

Abstract

We derive and compute effective valence-space shell-model interactions from ab-initio coupled-cluster theory and apply them to open-shell and neutron-rich oxygen and carbon isotopes. Our shell-model interactions are based on nucleon-nucleon and three-nucleon forces from chiral effective-field theory. We compute the energies of ground and low-lying states, and find good agreement with experiment. In particular our calculations are consistent with the N=14, 16 shell closures in oxygen-22 and oxygen-24, while for carbon-20 the corresponding N=14 closure is weaker. We find good agreement between our coupled-cluster effective-interaction results with those obtained from standard single-reference coupled-cluster calculations for up to eight valence neutrons.

References in corpus (14)

• Chiral effective field theory and nuclear forces
• Recent developments in no-core shell-model calculations
• Local three-nucleon interaction from chiral effective field theory
• Evolution of shell structure in neutron-rich calcium isotopes
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• Nonperturbative shell-model interactions from the in-medium similarity renormalization group
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Coupled-cluster theory for three-body Hamiltonians
• In-Medium Similarity Renormalization Group for Open-Shell Nuclei
• Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He
• Lattice Effective Field Theory for Medium-Mass Nuclei
• Ab-initio shell model with a core
• Ab initio coupled-cluster theory for open-shell nuclei
• Geometry of effective Hamiltonians

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