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Particle number projection in the macroscopic-microscopic approach

Uhrenholt, Henrik LU ; Bengtsson, Ragnar LU and Moller, P. (2007) In Nuclear Physics, Section A 784(1-4). p.104-146
Abstract
We perform nuclear ground-state pairing calculations with the monopole pairing interaction. The particle number fluctuations are taken into account by the particle number projection method, with variation after projection. The pairing-correction energies obtained in this approach are compared to the BCS-model results. We discuss extensively how to properly incorporate different pairing models in global macroscopic-microscopic nuclear mass calculations. A method to calculate the smoothly changing part of the particle number projected energy is developed based on the Strutinsky procedure, making it possible to extract a pairing-shell energy. The behavior of the different pairing models is investigated in detail in the nuclei Er-164 and... (More)
We perform nuclear ground-state pairing calculations with the monopole pairing interaction. The particle number fluctuations are taken into account by the particle number projection method, with variation after projection. The pairing-correction energies obtained in this approach are compared to the BCS-model results. We discuss extensively how to properly incorporate different pairing models in global macroscopic-microscopic nuclear mass calculations. A method to calculate the smoothly changing part of the particle number projected energy is developed based on the Strutinsky procedure, making it possible to extract a pairing-shell energy. The behavior of the different pairing models is investigated in detail in the nuclei Er-164 and Tm-165. Calculations are then performed along the beta-stability line and for several isotope and isotone chains from the proton drip-line to the neutron drip-line. The single-particle energy levels used are obtained from two different single-particle potentials: the folded-Yukawa and the modified-harmonic oscillator potentials. The pairing calculations in the two potentials differ slightly in the fine-structure but the overall results are very similar. When comparing the particle number projected model and the BCS model it is found that the pairing-shell energy is quite insensitive to which microscopic pairing model is used. (c) 2006 Elsevier B.V. All rights reserved. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
nuclear pairing, particle number projection
in
Nuclear Physics, Section A
volume
784
issue
1-4
pages
104 - 146
publisher
Elsevier
external identifiers
  • wos:000244598000006
  • scopus:33846696688
ISSN
0375-9474
DOI
10.1016/j.nuclphysa.2006.11.052
language
English
LU publication?
yes
id
65620e79-a3bd-4c2e-9593-368aaed78ed9 (old id 672499)
date added to LUP
2007-12-14 13:54:11
date last changed
2017-10-22 04:32:29
@article{65620e79-a3bd-4c2e-9593-368aaed78ed9,
  abstract     = {We perform nuclear ground-state pairing calculations with the monopole pairing interaction. The particle number fluctuations are taken into account by the particle number projection method, with variation after projection. The pairing-correction energies obtained in this approach are compared to the BCS-model results. We discuss extensively how to properly incorporate different pairing models in global macroscopic-microscopic nuclear mass calculations. A method to calculate the smoothly changing part of the particle number projected energy is developed based on the Strutinsky procedure, making it possible to extract a pairing-shell energy. The behavior of the different pairing models is investigated in detail in the nuclei Er-164 and Tm-165. Calculations are then performed along the beta-stability line and for several isotope and isotone chains from the proton drip-line to the neutron drip-line. The single-particle energy levels used are obtained from two different single-particle potentials: the folded-Yukawa and the modified-harmonic oscillator potentials. The pairing calculations in the two potentials differ slightly in the fine-structure but the overall results are very similar. When comparing the particle number projected model and the BCS model it is found that the pairing-shell energy is quite insensitive to which microscopic pairing model is used. (c) 2006 Elsevier B.V. All rights reserved.},
  author       = {Uhrenholt, Henrik and Bengtsson, Ragnar and Moller, P.},
  issn         = {0375-9474},
  keyword      = {nuclear pairing,particle number projection},
  language     = {eng},
  number       = {1-4},
  pages        = {104--146},
  publisher    = {Elsevier},
  series       = {Nuclear Physics, Section A},
  title        = {Particle number projection in the macroscopic-microscopic approach},
  url          = {http://dx.doi.org/10.1016/j.nuclphysa.2006.11.052},
  volume       = {784},
  year         = {2007},
}