Hartree-Fock calculations of super-heavy nuclei

Hartree-Fock calculations are performed in the region of super heavy nuclei using zero range (Skyrme) forces and the finite range force G-0; the latter predict shell closure for the (α-unstable) nucleus N = 218, Z = 126 while the former do not. Calculations performed using the density matrix expansion (DME or DMEX) approximations give results similar to the Skyrme force. The problem is traced to an inadequacy of the DME, incorrectly placing the nodeless n = 1 high ? states.