An interpretation of decoupled bands by the weak coupling model

The band structure and mechanism of formation of odd-A decoupled rotational bands are studied using the weak coupling model of de-Shalit. The geometrical relation between the spin of the core and the particle can be shown explicitly because of the fact that the interaction matrix elements are written in terms of the angle between these two spins. This scheme is shown to be a good representation in describing decoupled bands and to have wave functions with large overlaps with those resulting from the coupling scheme introduced by Stephens.