The predicted and experimental properties of the new doubly magic nuclei ²²O and ²⁴O are discussed. These together with previous observations lead to a new rule for magic numbers: if there is an oscillator magic number (2, 8, 20, or 40) for one kind of nucleon, then the other kind of nucleon has a magic number for the filling of every possible (n, l, j) value.
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Brown et al. (2005) studied this question.
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