Abstract
Inspired by the recent experiments (Nature, 2012, vol. 486, p. 341; Nature, 2009, vol. 459, p. 1069). indicating doubly magic nuclei which lie near the drip-line and encouraged by the success of relativistic mean-field (RMF) plus state-dependent BCS approach for the description of the ground-state properties of the drip-line nuclei, we have further employed this approach, across the entire periodic table, to explore magic nuclei. In our RMF + BCS, approach, the single-particle continuum corresponding to the RMF is replaced by a set of discrete positive energy states for the calculations of pairing energy. Detailed analysis of the two-proton/neutron separation energy, single-particle spectrum, pairing energies and densities of the nuclei predicts that some of the traditional shell closures disappear in the vicinity of the drip-lines and some new shell closures emerge.
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