Magic numbers in the neutron-rich oxygen isotopes

Abstract

The predicted and experimental properties of the new doubly magic nuclei $^{22}\mathrm{O}$ and $^{24}\mathrm{O}$ 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.