Variational Shell-Model Methods for Deformed Orbitals

A single-particle representation of deformed orbitals in the $s-d$ shell is obtained by using variational self-consistent methods. The two-body Rosenfeld potential is taken as the effective interaction. The dependence of the single-particle Hamiltonian on the force parameters, as well as its dependence on the number of nucleons, is investigated. The results are compared with the deformed harmonic-oscillator model, discussed by Mottelson and Nilsson.