The Nuclear Shell Model Toward the Drip Lines

Abstract

We describe the "islands of inversion" that occur when approaching the neutron drip line around the magic numbers N=20, N=28 and N=40 in the framework of the Interacting Shell Model in very large valence spaces. We explain these configuration inversions (and the associated shape transitions) as the result of the competition between the spherical mean field (monopole) which favors magicity and the correlations (multipole) which favor deformed intruder states. We also show that the N=20 and N=28 islands are in reallity a single one, which for the Magnesium isotopes is limited by N=18 and N=32.

Proceedings of the Nordic Conference in Nuclear Physics 2011, Stockholm, to appear in Physica Scripta

References in corpus (5)

• Three-body forces and the limit of oxygen isotopes
• Collapse of the N=28 shell closure in ${}^{42}$Si
• The realistic collective nuclear Hamiltonian
• A new effective interaction for $0\hslash \omega$ shell model calculations in the sdpf valence space
• Coexistence of spherical states with deformed and superdeformed bands in doubly magic 40-Ca; A shell model challenge

Cited by in corpus (5)

• The merging of the islands of inversion at N=20 and N=28
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• Realistic shell-model calculations for isotopic chains "north-east'' of 48Ca in the (N,Z) plane
• Importance-Truncated Large-Scale Shell Model
• The impact of the off-diagonal cross-shell interaction on ${}^{14}$C