“Sloppy” nuclear energy density functionals: Effective model reduction

Nuclear Energy Density Functionals Constrained by Low-Energy QCD

A microscopic framework of nuclear energy density functionals is reviewed, which establishes a direct relation between low-energy QCD and nuclear structure, synthesizing effective field theory methods and principles of density functional theory. Guided by two closely related features of QCD in the lowenergy limit: a) in-medium changes of vacuum condensates, and b) spontaneous breaking of chiral...

Spectroscopic properties of nuclear skyrme energy density functionals.

We address the question of how to improve the agreement between theoretical nuclear single-particle energies (SPEs) and observations. Empirically, in doubly magic nuclei, the SPEs can be deduced from spectroscopic properties of odd nuclei that have one more or one less neutron or proton. Theoretically, bare SPEs, before being confronted with observations, must be corrected for the effects of th...

System-adapted correlation energy density functionals from effective pair interactions

This article discusses some ideas concerning an ‘average-pair-density functional theory’, in which the ground-state energy of a many-electron system is rewritten as a functional of the spherically and system-averaged pair density. These ideas are further clarified with simple physical examples. Then it is shown that the proposed formalism can be combined with density functional theory to build ...

Neutron drops and Skyrme energy-density functionals.

The J =0 ground state of a drop of 8 neutrons and the lowest 1/2 and 3/2 states of 7-neutron drops, all in an external well, are computed accurately with variational and Green's function Monte Carlo methods for a Hamiltonian containing the Argonne v18 two-nucleon and Urbana IX three-nucleon potentials. These states are also calculated using Skyrme-type energy-density functionals. Commonly used ...

Configuration interactions constrained by energy density functionals