We relate the relativistic finite range mean-field model (RMF-FR) to thepoint-coupling variant and compare the nonlinear density dependence. From this,the effective Hamiltonian of the nonlinear point-coupling model in thenonrelativistic limit is derived. Different from the nonrelativistic models,the nonlinearity in the relativistic models automatically yields contributionsin the form of a weak density dependence not only in the central potential butalso in the spin-orbit potential. The central potential affects the bulk andsurface properties while the spin-orbit potential is crucial for the shellstructure of finite nuclei. A modification in the Skyrme-Hartree-Fock modelwith a density-dependent spin-orbit potential inspired by the point-couplingmodel is suggested.
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