Scalar nature of the nuclear density functional

2008/01/31 by B. G. Giraud · 2 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Nuclear physics research studies #nucl-th

paper · pdf · doi:10.1103/physrevc.78.014307

published as Phys.Rev.C78:014307,2008 · 4 pages

arxiv created 2008/02/05 · openalex publication_date 2008/07/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the existence theorem for a scalar density functional (DF) for nuclei. The theorem is a direct consequence of the rotational invariance of the nuclear Hamiltonian. Since the DF depends only on scalar densities, practical predictions of ground state (g.s.) energies reduce to one-dimensional, radial calculations.

Citations

• Exchange and correlation in atoms, molecules, and solids by the spin-density-functional formalism
• Density functional theory for self-bound systems
• Self-Consistent Equations Including Exchange and Correlation Effects

Cited by

• Generalization of internal density-functional theory and Kohn-Sham scheme to multicomponent self-bound systems, and link with traditional density-functional theory
• Density functional theory and Kohn-Sham scheme for self-bound systems