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Fluctuating parts of nuclear ground-state correlation energies

Carlsson, Gillis LU ; Toivanen, J. and von Barth, Ulf LU (2013) In Physical Review C (Nuclear Physics) 87(5).
Abstract
Background: Heavy atomic nuclei are often described using the Hartree-Fock-Bogoliubov (HFB) method. In principle, this approach takes into account Pauli effects and pairing correlations while other correlation effects are mimicked through the use of effective density-dependent interactions. Purpose: Investigate the influence of higher-order correlation effects on nuclear binding energies using Skyrme's effective interaction. Methods: A cutoff in relative momenta is introduced to remove ultraviolet divergencies caused by the zero-range character of the interaction. Corrections to binding energies are then calculated using the quasiparticle-random-phase approximation and second-order many-body perturbation theory. Result: Contributions to... (More)
Background: Heavy atomic nuclei are often described using the Hartree-Fock-Bogoliubov (HFB) method. In principle, this approach takes into account Pauli effects and pairing correlations while other correlation effects are mimicked through the use of effective density-dependent interactions. Purpose: Investigate the influence of higher-order correlation effects on nuclear binding energies using Skyrme's effective interaction. Methods: A cutoff in relative momenta is introduced to remove ultraviolet divergencies caused by the zero-range character of the interaction. Corrections to binding energies are then calculated using the quasiparticle-random-phase approximation and second-order many-body perturbation theory. Result: Contributions to the correlation energies are evaluated for several isotopic chains and an attempt is made to disentangle which parts give rise to fluctuations that may be difficult to incorporate on the HFB level. The dependence of the results on the cutoff is also investigated. Conclusions: The improved interaction allows explicit summations of perturbation series, which is useful for the description of some nuclear observables. However, refits of the interaction parameters are needed to obtain more quantitative results. (Less)
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publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review C (Nuclear Physics)
volume
87
issue
5
article number
054303
publisher
American Physical Society
external identifiers
  • wos:000318527400002
  • scopus:84877895209
ISSN
0556-2813
DOI
10.1103/PhysRevC.87.054303
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), Department of Physics (011013000)
id
e05bbbad-1daa-4745-b528-4971fc2a83a6 (old id 3815330)
date added to LUP
2016-04-01 14:56:42
date last changed
2022-01-28 03:15:36
@article{e05bbbad-1daa-4745-b528-4971fc2a83a6,
  abstract     = {{Background: Heavy atomic nuclei are often described using the Hartree-Fock-Bogoliubov (HFB) method. In principle, this approach takes into account Pauli effects and pairing correlations while other correlation effects are mimicked through the use of effective density-dependent interactions. Purpose: Investigate the influence of higher-order correlation effects on nuclear binding energies using Skyrme's effective interaction. Methods: A cutoff in relative momenta is introduced to remove ultraviolet divergencies caused by the zero-range character of the interaction. Corrections to binding energies are then calculated using the quasiparticle-random-phase approximation and second-order many-body perturbation theory. Result: Contributions to the correlation energies are evaluated for several isotopic chains and an attempt is made to disentangle which parts give rise to fluctuations that may be difficult to incorporate on the HFB level. The dependence of the results on the cutoff is also investigated. Conclusions: The improved interaction allows explicit summations of perturbation series, which is useful for the description of some nuclear observables. However, refits of the interaction parameters are needed to obtain more quantitative results.}},
  author       = {{Carlsson, Gillis and Toivanen, J. and von Barth, Ulf}},
  issn         = {{0556-2813}},
  language     = {{eng}},
  number       = {{5}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review C (Nuclear Physics)}},
  title        = {{Fluctuating parts of nuclear ground-state correlation energies}},
  url          = {{http://dx.doi.org/10.1103/PhysRevC.87.054303}},
  doi          = {{10.1103/PhysRevC.87.054303}},
  volume       = {{87}},
  year         = {{2013}},
}