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Model nuclear energy density functionals derived from ab initio calculations

Salvioni, G. ; Dobaczewski, J. ; Barbieri, C. ; Carlsson, G. LU ; Idini, A. LU orcid and Pastore, A. (2020) In Journal of Physics G: Nuclear and Particle Physics 47(8).
Abstract

We present the first application of a new approach, proposed in (2016 J. Phys. G: Nucl. Part. Phys. 43 04LT01) to derive coupling constants of the Skyrme energy density functional (EDF) from ab initio Hamiltonian. By perturbing the ab initio Hamiltonian with several functional generators defining the Skyrme EDF, we create a set of metadata that is then used to constrain the coupling constants of the functional. We use statistical analysis to obtain such an ab initio-equivalent Skyrme EDF. We find that the resulting functional describes properties of atomic nuclei and infinite nuclear matter quite poorly. This may point to the necessity of building up the ab initio-equivalent functionals from more sophisticated generators. However, we... (More)

We present the first application of a new approach, proposed in (2016 J. Phys. G: Nucl. Part. Phys. 43 04LT01) to derive coupling constants of the Skyrme energy density functional (EDF) from ab initio Hamiltonian. By perturbing the ab initio Hamiltonian with several functional generators defining the Skyrme EDF, we create a set of metadata that is then used to constrain the coupling constants of the functional. We use statistical analysis to obtain such an ab initio-equivalent Skyrme EDF. We find that the resulting functional describes properties of atomic nuclei and infinite nuclear matter quite poorly. This may point to the necessity of building up the ab initio-equivalent functionals from more sophisticated generators. However, we also indicate that the current precision of the ab initio calculations may be insufficient for deriving meaningful nuclear EDFs.

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author
; ; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
ab initio methods, Green functions, nuclear density functional theory, statistical methods
in
Journal of Physics G: Nuclear and Particle Physics
volume
47
issue
8
article number
085107
publisher
IOP Publishing
external identifiers
  • scopus:85089014978
ISSN
0954-3899
DOI
10.1088/1361-6471/ab8d8e
language
English
LU publication?
yes
id
ea366d9e-43c5-4c76-93d8-71d34f645c62
date added to LUP
2020-08-12 10:04:07
date last changed
2022-04-19 00:07:55
@article{ea366d9e-43c5-4c76-93d8-71d34f645c62,
  abstract     = {{<p>We present the first application of a new approach, proposed in (2016 J. Phys. G: Nucl. Part. Phys. 43 04LT01) to derive coupling constants of the Skyrme energy density functional (EDF) from ab initio Hamiltonian. By perturbing the ab initio Hamiltonian with several functional generators defining the Skyrme EDF, we create a set of metadata that is then used to constrain the coupling constants of the functional. We use statistical analysis to obtain such an ab initio-equivalent Skyrme EDF. We find that the resulting functional describes properties of atomic nuclei and infinite nuclear matter quite poorly. This may point to the necessity of building up the ab initio-equivalent functionals from more sophisticated generators. However, we also indicate that the current precision of the ab initio calculations may be insufficient for deriving meaningful nuclear EDFs. </p>}},
  author       = {{Salvioni, G. and Dobaczewski, J. and Barbieri, C. and Carlsson, G. and Idini, A. and Pastore, A.}},
  issn         = {{0954-3899}},
  keywords     = {{ab initio methods; Green functions; nuclear density functional theory; statistical methods}},
  language     = {{eng}},
  number       = {{8}},
  publisher    = {{IOP Publishing}},
  series       = {{Journal of Physics G: Nuclear and Particle Physics}},
  title        = {{Model nuclear energy density functionals derived from ab initio calculations}},
  url          = {{http://dx.doi.org/10.1088/1361-6471/ab8d8e}},
  doi          = {{10.1088/1361-6471/ab8d8e}},
  volume       = {{47}},
  year         = {{2020}},
}