Nuclear Spins and Magnetic Moments by theα-Particle Model

Some properties of the light nuclei of the type $n\alpha \pm 1$ have been calculated on the basis of the $\alpha$-particle model. By means of this description, spins and magnetic moments of the same nuclei are calculated here. The results for the magnetic moments of many of the nuclei are undetermined within a certain range of possible values since the relative order of magnitude of the spin-orbit coupling and the separation of rotational levels is unknown. This ambiguity does not appear in the Hartree model, so that the magnetic moments as calculated by the two models are somewhat different. The most notable difference occurs for the spins of ${\mathrm{C}}^{13}$, ${\mathrm{N}}^{13}$, which have not yet been measured; the Hartree model predicts a spin of ½ for them whereas the $\alpha$-model yields a spin of 1 ½. The $\alpha$-model appears to give slightly better agreement for those magnetic moments that have been measured.