Scalar Nature of the Nuclear Density Functional

Abstract

Because of the rotational invariance of the nuclear Hamiltonian, there exists a density functional for nuclei that depends only on two scalar densities. Practical calculations boil down to radial, one-dimensional ones.

4 pages

References in corpus (8)

• Symmetry-Projected Hartree-Fock-Bogoliubov Equations
• Intrinsic-Density Functionals
• Variation after Particle-Number Projection for the HFB Method with the Skyrme Energy Density Functional
• Density functional theory for self-bound systems
• Constrained Orthogonal Polynomials
• Coordinates, modes and maps for the density functional
• Existence of Density Functionals for Excited States and Resonances
• Block orthogonal polynomials: II. Hermite and Laguerre standard block orthogonal polynomials

Cited by in corpus (16)

• Toward ab initio density functional theory for nuclei
• A Minimal Nuclear Energy Density Functional
• Density functional approaches to collective phenomena in nuclei: Time-dependent density-functional theory for perturbative and non-perturbative nuclear dynamics
• Density functional theory and Kohn-Sham scheme for self-bound systems
• Effective density functionals beyond mean field
• Turning the nuclear energy density functional method into a proper effective field theory: reflections
• Generalization of internal Density Functional Theory and Kohn-Sham scheme to multicomponent systems, and link with traditional DFT
• The Long Journey from Ab Initio Calculations to Density Functional Theory for Nuclear Large Amplitude Collective Motion
• Density Functional Theory with Spatial-Symmetry Breaking and Configuration Mixing
• Addressing energy density functionals in the language of path-integrals I: Comparative study of diagrammatic techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Density functional approaches to atomic nuclei
• Density functional approaches to nuclear dynamics
• Open problems in nuclear density functional theory
• Algebraic Density Functionals
• A Many-Body Density Energy Functional
• Schrödinger equations for the square root density of an eigenmixture and % the square root of an eigendensity spin matrix