Toward ab initio density functional theory for nuclei

Details Toward ab initio density functional theory for nuclei Toward ab initio density functional theory for nuclei

2009-06-08

arxiv.org/abs/0906.1463v2

Prog.Part.Nucl.Phys.64:120-168,2010

Physics

Nuclear Physics

Nuclear Theory

69 pages, 16 figures, many revisions based on feedback. To appear in Progress in Particle and Nuclear Physics

Scientific paper

10.1016/j.ppnp.2009.09.001

We survey approaches to nonrelativistic density functional theory (DFT) for nuclei using progress toward ab initio DFT for Coulomb systems as a guide. Ab initio DFT starts with a microscopic Hamiltonian and is naturally formulated using orbital-based functionals, which generalize the conventional local-density-plus-gradients form. The orbitals satisfy single-particle equations with multiplicative (local) potentials. The DFT functionals can be developed starting from internucleon forces using wave-function based methods or by Legendre transform via effective actions. We describe known and unresolved issues for applying these formulations to the nuclear many-body problem and discuss how ab initio approaches can help improve empirical energy density functionals.

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