Three-body forces and shell structure in calcium isotopes

Abstract

Understanding and predicting the formation of shell structure from nuclear forces is a central challenge for nuclear physics. While the magic numbers N=2,8,20 are generally well understood, N=28 is the first standard magic number that is not reproduced in microscopic theories with two-nucleon forces. In this Letter, we show that three-nucleon forces give rise to repulsive interactions between two valence neutrons that are key to explain 48Ca as a magic nucleus, with a high 2+ excitation energy and a concentrated magnetic dipole transition strength. The repulsive three-nucleon mechanism improves the agreement with experimental binding energies.

5 pages, 4 figures; improved version and added coupled-cluster benchmark; published version

References in corpus (6)

• Recent developments in no-core shell-model calculations
• Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
• Coupled-cluster theory for three-body Hamiltonians
• Low-momentum interactions with smooth cutoffs
• Ab-initio approach to effective single-particle energies in doubly closed shell nuclei
• Production of very neutron-rich nuclei with a 76Ge beam

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