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Nonlocal energy density functionals for pairing and beyond-mean-field calculations

Bennaceur, K. ; Idini, A. LU orcid ; Dobaczewski, J. ; Dobaczewski, P. ; Kortelainen, M. and Raimondi, F. (2017) In Journal of Physics G: Nuclear and Particle Physics 44(4).
Abstract

We propose to use two-body regularized finite-range pseudopotential to generate nuclear energy density functional (EDF) in both particle-hole and particle-particle channels, which makes it free from self-interaction and self-pairing, and also free from singularities when used beyond mean field. We derive a sequence of pseudopotentials regularized up to next-to-leading order and next-to-next-to-leading order, which fairly well describe infinite-nuclear-matter properties and finite open-shell paired and/or deformed nuclei. Since pure two-body pseudopotentials cannot generate sufficiently large effective mass, the obtained solutions constitute a preliminary step towards future implementations, which will include, e.g., EDF terms generated... (More)

We propose to use two-body regularized finite-range pseudopotential to generate nuclear energy density functional (EDF) in both particle-hole and particle-particle channels, which makes it free from self-interaction and self-pairing, and also free from singularities when used beyond mean field. We derive a sequence of pseudopotentials regularized up to next-to-leading order and next-to-next-to-leading order, which fairly well describe infinite-nuclear-matter properties and finite open-shell paired and/or deformed nuclei. Since pure two-body pseudopotentials cannot generate sufficiently large effective mass, the obtained solutions constitute a preliminary step towards future implementations, which will include, e.g., EDF terms generated by three-body pseudopotentials.

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author
; ; ; ; and
publishing date
type
Contribution to journal
publication status
published
keywords
energy density functionals, nuclear pairing, regularized pseudopotentials
in
Journal of Physics G: Nuclear and Particle Physics
volume
44
issue
4
article number
045106
publisher
IOP Publishing
external identifiers
  • scopus:85015765635
ISSN
0954-3899
DOI
10.1088/1361-6471/aa5fd7
language
English
LU publication?
no
id
682da9fc-e79e-4422-9c27-a43cf2b20ee2
date added to LUP
2019-09-05 09:17:44
date last changed
2022-04-26 05:27:30
@article{682da9fc-e79e-4422-9c27-a43cf2b20ee2,
  abstract     = {{<p>We propose to use two-body regularized finite-range pseudopotential to generate nuclear energy density functional (EDF) in both particle-hole and particle-particle channels, which makes it free from self-interaction and self-pairing, and also free from singularities when used beyond mean field. We derive a sequence of pseudopotentials regularized up to next-to-leading order and next-to-next-to-leading order, which fairly well describe infinite-nuclear-matter properties and finite open-shell paired and/or deformed nuclei. Since pure two-body pseudopotentials cannot generate sufficiently large effective mass, the obtained solutions constitute a preliminary step towards future implementations, which will include, e.g., EDF terms generated by three-body pseudopotentials.</p>}},
  author       = {{Bennaceur, K. and Idini, A. and Dobaczewski, J. and Dobaczewski, P. and Kortelainen, M. and Raimondi, F.}},
  issn         = {{0954-3899}},
  keywords     = {{energy density functionals; nuclear pairing; regularized pseudopotentials}},
  language     = {{eng}},
  month        = {{03}},
  number       = {{4}},
  publisher    = {{IOP Publishing}},
  series       = {{Journal of Physics G: Nuclear and Particle Physics}},
  title        = {{Nonlocal energy density functionals for pairing and beyond-mean-field calculations}},
  url          = {{http://dx.doi.org/10.1088/1361-6471/aa5fd7}},
  doi          = {{10.1088/1361-6471/aa5fd7}},
  volume       = {{44}},
  year         = {{2017}},
}