Intrinsic-Density Functionals

Details Intrinsic-Density Functionals Intrinsic-Density Functionals

2006-10-10

arxiv.org/abs/nucl-th/0610043v1

Phys.Rev.C75:014306,2007

Physics

Nuclear Physics

Nuclear Theory

15 pages

Scientific paper

10.1103/PhysRevC.75.014306

The Hohenberg-Kohn theorem and Kohn-Sham procedure are extended to functionals of the localized intrinsic density of a self-bound system such as a nucleus. After defining the intrinsic-density functional, we modify the usual Kohn-Sham procedure slightly to evaluate the mean-field approximation to the functional, and carefully describe the construction of the leading corrections for a system of fermions in one dimension with a spin-degeneracy equal to the number of particles N. Despite the fact that the corrections are complicated and nonlocal, we are able to construct a local Skyrme-like intrinsic-density functional that, while different from the exact functional, shares with it a minimum value equal to the exact ground-state energy at the exact ground-state intrinsic density, to next-to-leading order in 1/N. We briefly discuss implications for real Skyrme functionals.

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