Analytically solvable mean-field potential for stable and exotic nuclei

Slater determinants built from the single-particle eigenfunctions of the analytically solvable Ginocchio potential are used to approximate the self-consistent Hartree-Fock solutions for nuclei. The results indicate that this potential reproduces the mean field for a wide range of nuclei, including those far from stability. Properties sensitive to the surface are particularly well described, suggesting that the potential may be useful in shell-model studies of weakly-bound nuclei.