Nitrogen-14 and the Shell Model

Abstract

A shell-model calculation has been done of the lower lying levels of ${\mathrm{N}}^{14}$ under the assumption that the ${\mathrm{C}}^{12}$ nucleus forms an inert core about which two nucleons can move in $1p_{\frac{1}{2}}$, $2s_{\frac{1}{2}}$, $1d_{\frac{5}{2}}$, or $1d_{\frac{3}{2}}$ orbitals. It has been possible to give shell-model assignments to practically all of the observed levels in ${\mathrm{N}}^{14}$ below 10.50 MeV, and these assignments are in good agreement with the experimental data and with other theoretical calculations. Several levels not predicted by this model are expected to arise from the excitation of $1p_{\frac{3}{2}}$ particle(s) out of the ${\mathrm{C}}^{12}$ core into higher orbitals.