Polarization corrections to single-particle energies studied within the energy-density-functional and QRPA approaches

Abstract

Background: Models based on using perturbative polarization corrections and mean-field blocking approximation give conflicting results for masses of odd nuclei. Purpose: Systematically investigate the polarization and mean-field models, implemented within self-consistent approaches that use identical interactions and model spaces, so as to find reasons for the conflicts between them. Methods: For density-dependent interactions and with pairing correlations included, we derive and study links between the mean-field and polarization results obtained for energies of odd nuclei. We also identify and discuss differences between the polarization-correction and full particle-vibration-coupling (PVC) models. Numerical calculations are performed for the mean-field ground-state properties of deformed odd nuclei and then compared to the polarization corrections determined by using the approach that conserves spherical symmetry. Results: We have identified and numerically evaluated self-interaction (SI) energies that are at the origin of different results obtained within the mean-field and polarization-correction approaches. Conclusions: Mean-field energies of odd nuclei are polluted by the SI energies, and this makes them different from those obtained by using polarization-correction methods. A comparison of both approaches allows for the identification and determination of the SI terms, which then can be calculated and removed from the mean-field results, giving the self-interaction-free energies. The simplest deformed mean-field approach that does not break parity symmetry is unable to reproduce full PVC effects.

18 pages, 16 figures

References in corpus (9)

• Ab-initio Gorkov-Green's function calculations of open-shell nuclei
• Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations
• Particle-vibration coupling within covariant density functional theory
• Self-interaction errors in nuclear energy density functionals
• Hartree-Fock-Bogoliubov Theory of Polarized Fermi Systems
• Continuum particle-vibration coupling method in coordinate-space representation for finite nuclei
• The Negele-Vautherin density matrix expansion applied to the Gogny force
• Core polarization for the electric quadrupole moment of neutron-rich Aluminum isotopes
• Medium polarization isotopic effects on nuclear binding energies

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• Beyond mean-field boson-fermion model for odd-mass nuclei
• Spectroscopic properties of nuclear Skyrme energy density functionals
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Full optimization and validation
• No-core configuration-interaction model for the isospin- and angular-momentum-projected states
• Nonlocal energy density functionals for pairing and beyond-mean-field calculations
• Shape transitions in odd-mass $\gamma$-soft nuclei within the interacting boson-fermion model based on the Gogny energy density functional
• Self-consistency in the phonon space of the particle-phonon coupling model
• Isobaric Multiplet Mass Equation within nuclear Density Functional Theory
• Unified description of structure and reactions: implementing the Nuclear Field Theory program
• Optimized nuclear energy density functionals including long-range pion contributions
• Electromagnetic moments of ground and excited states calculated in heavy odd-N open-shell nuclei