Polarization corrections to single-particle energies studied within the energy-density-functional and quasiparticle random-phase approximation approaches
(2014) In Physical Review C (Nuclear Physics) 89(1).- Abstract
- 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 self-consistent 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... (More)
- 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 self-consistent 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. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4418976
- author
- Tarpanov, D. ; Toivanen, J. ; Dobaczewski, J. and Carlsson, Gillis LU
- organization
- publishing date
- 2014
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review C (Nuclear Physics)
- volume
- 89
- issue
- 1
- article number
- 014307
- publisher
- American Physical Society
- external identifiers
-
- wos:000332152100001
- scopus:84894427372
- ISSN
- 0556-2813
- DOI
- 10.1103/PhysRevC.89.014307
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
- id
- 5ea02d6d-a65e-4b27-b564-9abd6cfcfc7c (old id 4418976)
- date added to LUP
- 2016-04-01 14:21:23
- date last changed
- 2022-01-28 00:13:05
@article{5ea02d6d-a65e-4b27-b564-9abd6cfcfc7c,
abstract = {{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 self-consistent 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.}},
author = {{Tarpanov, D. and Toivanen, J. and Dobaczewski, J. and Carlsson, Gillis}},
issn = {{0556-2813}},
language = {{eng}},
number = {{1}},
publisher = {{American Physical Society}},
series = {{Physical Review C (Nuclear Physics)}},
title = {{Polarization corrections to single-particle energies studied within the energy-density-functional and quasiparticle random-phase approximation approaches}},
url = {{http://dx.doi.org/10.1103/PhysRevC.89.014307}},
doi = {{10.1103/PhysRevC.89.014307}},
volume = {{89}},
year = {{2014}},
}