A study is made of the characteristics of magic nuclei displayed in a Hartree-Fock calculation. It is seen that the known doubly-closed-shell nuclei are clearly distinguished by the behavior of the energy as a function of neutron and proton number. The existence of these characteristics for the superheavy nucleus with $Z=120$ and $N=178$ indicates that this may also be a magic nucleus. Single-particle-model calculations have indicated $Z=114$ as the magic nucleus. Possible reasons for this difference are discussed.
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Bassichis et al. (1970) studied this question.
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