Pairing in shell models

An L-S pairing shell model is proposed for light nuclei (§§2( b ) and 5). Three types of shell model, that is, super multiplet theory, j-j pairing scheme and the L-S pairing scheme are compared with respect to the decomposition procedure by group theory, and also are compared in connexion with nuclear magnetic moments (§§7, 3). It is very likely that in light nuclei the L-S pairing or an intermediate coupling between the L-S pairing and j-j pairing schemes is a very good approximation.