Using $^{ 12}$C as an example of a strongly deformed nucleus we calculate the strengths and energies in the asymptotic (oblate) deformed limit for the isovector twist mode operator $[rY^{ 1}\vec{ l}]^{ \lambda=2}t_{ +}$ where l is the orbital angular momentum. We also consider the $\lambda =1$ case. For $\lambda=0$, the operator vanishes. Whereas in a $\Delta N=0$ Nilsson model the summed strength is independent of the relative P$_{ 3/2}$ and P$_{ 1/2}$ occupancy when we allow for different frequencies $\omega_{ i}$ in the x, y, and z directions there is a weak dependency on deformation.
Categories: nucl-th
