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We survey approaches to nonrelativistic density functional theory (DFT) fornuclei using progress toward ab initio DFT for Coulomb systems as a guide. Abinitio DFT starts with a microscopic Hamiltonian and is naturally formulatedusing orbital-based functionals, which generalize the conventionallocal-density-plus-gradients form. The orbitals satisfy single-particleequations with multiplicative (local) potentials. The DFT functionals can bedeveloped starting from internucleon forces using wave-function based methodsor by Legendre transform via effective actions. We describe known andunresolved issues for applying these formulations to the nuclear many-bodyproblem and discuss how ab initio approaches can help improve empirical energydensity functionals.

Toward ab initio density functional theory for nuclei