Abstract
It is demonstrated that the spectroscopy of excited states in $Z<~20,N>~20$ nuclei and the systematic behavior of ${S}_{2p}$ support the hypothesis that the $Z=16$ subshell closure that exists for $N=20$ and $21$ disappears for higher neutron numbers. In addition, the possible collapse of the $N=28$ shell closure in neutron-rich nuclei is examined using the systematic behavior of ${S}_{2n}$ and the spectroscopy of excited states in nearby nuclei and single-neutron pickup data from the Ca isotopes. We conclude that data on the spectroscopy of excited states of ${}^{42}\mathrm{Si}$ and other nuclei in the vicinity will be necessary to draw a strong conclusion regarding the persistence of the $N=28$ shell closure in neutron-rich nuclei.
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