Polarization corrections to single-particle energies studied within the energy-density-functional and quasiparticle random-phase approximation approaches

Abstract

. (2014). Polarization corrections to single-particle energies studied within the energy-density-functional and quasiparticle random-phase approximation approaches. Physical Review C, 89 (1), 014307. doi:10.1103/PhysRevC.89.014307 2014Publisher's PDF PHYSICAL REVIEW C 89, 014307 (2014) Polarization corrections to single-particle energies studied within the energy-density-functional and quasiparticle random-phase approximation approaches Background: Models based on using perturbative polarization corrections and mean-field blocking approximation give conflicting results for masses of odd nuclei. Purpose: We systematically investigate the polarization and mean-field models, implemented within selfconsistent approaches that use identical interactions and model spaces, 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 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 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.

Nuclear energy density optimization: Shell structure

“…Although the calculations of Ref. [26] were performed at the HF level, it is unlikely that using the physically better motivated blocking procedure, and considering particle-vibration-coupling and self-interaction corrections [24] would significantly alter the conclusions. The RMSD of 1.38 MeV found for un-edf2 is thus very close to the limit given by the regression analysis, especially considering the diversity of constraints imposed during the fit.…”

Beyond-mean-field boson-fermion model for odd-mass nuclei

“…A number of PVC models of various levels of refinement and self-consistency have been developed [12][13][14][15][16][17][18][19] and applied to studies of structure phenomena. In this work we present an approach based on nuclear DFT and the particle-core coupling scheme [1,6].…”

Spectroscopic Properties of Nuclear Skyrme Energy Density Functionals

“…However, we know that when a phenomenological EDF is minimized in even and odd nuclei, the resulting odd-even mass differences are not equal to the Kohn-Sham energies, see the recent Ref. [19] for discussions and further references. Then, the so-called polarization corrections to particle and hole SPEs are equal to diagonal terms in Eq.…”