Nuclear Vibrations, Rotations, and the Shell Model. II

Within the $s-d$ shell of the nucleus it is possible to approximate an interaction between particles having any given range by a sum of an extreme short-range interaction and an extreme long-range interaction. The long-range interaction is nearly equal to the $P_2$ interaction. This approximation is applied to the vibrational theory and it is shown that rotational spectra are predominant for all ranges of interaction.