Magic numbers in exotic light nuclei near drip lines

Abstract

The halo structure of a light nucleus is shown to be associated with the closed shell effects of its core nucleus, and new magic numbers at N = 6 and 14 or 16 and/or Z = 6 and 14 are predicted on the basis of potential energy surfaces calculated within the cluster-core model. Whereas the old known magic numbers are found relevant for core nuclei near or not too far from the β-stability line, the above noted new magic numbers play their role for core nuclei near the drip lines. This result has apparent consequences for the spin–orbit interaction in exotic light nuclei.