Study of Nilsson Potential at different nuclear deformations

We have studied the Nilsson potential energies at different deformation parameters using a code based on the perturbative treatment. Special attention is given to the projection of a proton state at different deformations on the asymptotic basis functions. Our calculations show that the spin-orbit and the orbital angular momentum terms couple different asymptotic eigenstates, Nilsson Hamiltonian being hence not diagonal in these basis functions. Therefore, at least at deformations AWT IMAGE0.4, the asymptotic quantum numbers are not good quantum numbers.