The problem of the quenching of transition strength to stretched states is here addressed. A rotational Hamiltonian is used, including a Coriolis term and the Nilsson intrinsic Hamiltonian. The Coriolis term mixes different K bands. We consider the $6^{\mathrm{-}}$ states in ${}_{}{}^{20}{}_{}{}^{}\mathrm{Ne}$, ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$, and ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$. A significant amount of quenching is obtained. Part of this is due to the fact that the summed strength in the rotational model is equal, in single particle units, to the percent occupancy of the $d_{5/2}$ shell, and hence is less than the single particle value. The other part is due to the fact that there is a large fragmentation of strength to many states. To remove the degeneracy between the isoscalar and isovector states, a schematic residual interaction of the form M(6)⋅M(6) is introduced and evaluated in the intrinsic state.

• Received 21 May 1985

DOI:https://doi.org/10.1103/PhysRevC.32.1754