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Effective pseudopotential for energy density functionals with higher-order derivatives

Raimondi, F.; Carlsson, Gillis LU and Dobaczewski, J. (2011) In Physical Review C (Nuclear Physics) 83(5).
Abstract
We derive a zero-range pseudopotential that includes all possible terms up to sixth order in derivatives. Within the Hartree-Fock approximation, it gives the average energy that corresponds to a quasilocal nuclear energy density functional (EDF) built of derivatives of the one-body density matrix up to sixth order. The direct reference of the EDF to the pseudopotential acts as a constraint that divides the number of independent coupling constants of the EDF by two. This allows, e. g., for expressing the isovector part of the functional in terms of the isoscalar part, or vice versa. We also derive the analogous set of constraints for the coupling constants of the EDF that is restricted by spherical, space-inversion, and time-reversal... (More)
We derive a zero-range pseudopotential that includes all possible terms up to sixth order in derivatives. Within the Hartree-Fock approximation, it gives the average energy that corresponds to a quasilocal nuclear energy density functional (EDF) built of derivatives of the one-body density matrix up to sixth order. The direct reference of the EDF to the pseudopotential acts as a constraint that divides the number of independent coupling constants of the EDF by two. This allows, e. g., for expressing the isovector part of the functional in terms of the isoscalar part, or vice versa. We also derive the analogous set of constraints for the coupling constants of the EDF that is restricted by spherical, space-inversion, and time-reversal symmetries. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review C (Nuclear Physics)
volume
83
issue
5
publisher
American Physical Society
external identifiers
  • wos:000290717600001
  • scopus:79960955014
ISSN
0556-2813
DOI
10.1103/PhysRevC.83.054311
language
English
LU publication?
yes
id
5b9efd1f-8e21-4d9b-b130-1c76d0f151fa (old id 1986251)
date added to LUP
2011-06-29 12:37:26
date last changed
2017-11-12 03:47:44
@article{5b9efd1f-8e21-4d9b-b130-1c76d0f151fa,
  abstract     = {We derive a zero-range pseudopotential that includes all possible terms up to sixth order in derivatives. Within the Hartree-Fock approximation, it gives the average energy that corresponds to a quasilocal nuclear energy density functional (EDF) built of derivatives of the one-body density matrix up to sixth order. The direct reference of the EDF to the pseudopotential acts as a constraint that divides the number of independent coupling constants of the EDF by two. This allows, e. g., for expressing the isovector part of the functional in terms of the isoscalar part, or vice versa. We also derive the analogous set of constraints for the coupling constants of the EDF that is restricted by spherical, space-inversion, and time-reversal symmetries.},
  articleno    = {054311},
  author       = {Raimondi, F. and Carlsson, Gillis and Dobaczewski, J.},
  issn         = {0556-2813},
  language     = {eng},
  number       = {5},
  publisher    = {American Physical Society},
  series       = {Physical Review C (Nuclear Physics)},
  title        = {Effective pseudopotential for energy density functionals with higher-order derivatives},
  url          = {http://dx.doi.org/10.1103/PhysRevC.83.054311},
  volume       = {83},
  year         = {2011},
}