Nuclear Energy Density Functionals: What do we really know?

Abstract

We present the simplest nuclear energy density functional (NEDF) to date, determined by only 4 significant phenomenological parameters, yet capable of fitting measured nuclear masses with better accuracy than the Bethe-Weizsäcker mass formula, while also describing density structures (charge radii, neutron skins etc.) and time-dependent phenomena (induced fission, giant resonances, low energy nuclear collisions, etc.). The 4 significant parameters are necessary to describe bulk nuclear properties (binding energies and charge radii); an additional 2 to 3 parameters have little influence on the bulk nuclear properties, but allow independent control of the density dependence of the symmetry energy and isovector excitations, in particular the Thomas-Reiche-Kuhn sum rule. This Hohenberg-Kohn-style of density functional theory successfully realizes Weizsäcker's ideas and provides a computationally tractable model for a variety of static nuclear properties and dynamics, from finite nuclei to neutron stars, where it will also provide a new insight into the physics of the r-process, nucleosynthesis, and neutron star crust structure. This new NEDF clearly separates the bulk geometric properties - volume, surface, symmetry, and Coulomb energies which amount to 8MeV per nucleon or up to 2000MeV per nucleus for heavy nuclei - from finer details related to shell effects, pairing, isospin breaking, etc. which contribute at most a few MeV for the entire nucleus. Thus it provides a systematic framework for organizing various contributions to the NEDF. Measured and calculated physical observables - symmetry and saturation properties, the neutron matter equation of state, and the frequency of giant dipole resonances - lead directly to new terms not considered in current NEDF parameterizations.

25 pages, 12 figures

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Cited by in corpus (11)

• Induced Fission of ${}^{240}$Pu within a Real-Time Microscopic Framework
• A Minimal Nuclear Energy Density Functional
• Neutron star crusts from mean field models constrained by chiral effective field theory
• Fission dynamics within time-dependent Hartree-Fock: boost-induced fission
• Unitary evolution with fluctuations and dissipation
• Microscopically constrained mean field models from chiral nuclear thermodynamics
• Coordinate-Space Solver for Superfluid Many-Fermion Systems with Shifted Conjugate Orthogonal Conjugate Gradient Method
• Sloppy nuclear energy density functionals: effective model reduction
• EoS constraints from nuclear masses and radii in a meta-modeling approach
• Microscopic Theory of Nuclear Fission
• Induced fission of 240Pu