Instabilities in the Nuclear Energy Density Functional

Abstract

In the field of Energy Density Functionals (EDF) used in nuclear structure and dynamics, one of the unsolved issues is the stability of the functional. Numerical issues aside, some EDFs are unstable with respect to particular perturbations of the nuclear ground-state density. The aim of this contribution is to raise questions about the origin and nature of these instabilities, the techniques used to diagnose and prevent them, and the domain of density functions in which one should expect a nuclear EDF to be stable.

Special issue "Open Problems in Nuclear Structure Theory" of Jour.Phys.G - accepted. 7 pages, 2 figures

References in corpus (7)

• Isovector splitting of nucleon effective masses, ab-initio benchmarks and extended stability criteria for Skyrme energy functionals
• One-quasiparticle States in the Nuclear Energy Density Functional Theory
• Spin-Excitation Mechanisms in Skyrme-Force Time-Dependent Hartree-Fock
• An improved density matrix expansion for spin-unsaturated nuclei
• Nuclear response for the Skyrme effective interaction with zero range tensor terms
• Breaking and restoring symmetries within the nuclear energy density functional method
• Density Matrix Expansion for Low-Momentum Interactions

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• Low-Energy Heavy-Ion Reactions and the Skyrme Effective Interaction
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
• Self-interaction errors in nuclear energy density functionals
• Effective pseudopotential for energy density functionals with higher order derivatives
• The unrestricted Skyrme-tensor time-dependent Hartree-Fock and its application to the nuclear response from spherical to triaxial nuclei
• Spurious finite-size instabilities in nuclear energy density functionals
• Testing the density matrix expansion against ab initio calculations of trapped neutron drops
• Properties of odd nuclei and the impact of time-odd mean fields: A systematic Skyrme-Hartree-Fock analysis
• Linear response theory in asymmetric nuclear matter for Skyrme functionals including spin-orbit and tensor terms
• Spin constraints on nuclear energy density functionals
• Multipole responses in fissioning nuclei and their uncertainties