Three-body forces and shell structure in calcium isotopes

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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

Scientific paper

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. Towards the neutron drip line, we predict a shell closure at N=34. The repulsive three-nucleon mechanism improves the agreement with experimental binding energies and suggests the drip line around 60Ca.

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