Particle number projection in the macroscopic-microscopic approach
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/672499
- author
- Uhrenholt, Henrik LU ; Bengtsson, Ragnar LU and Moller, P.
- organization
- publishing date
- 2007
- 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
- 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)
- id
- 65620e79-a3bd-4c2e-9593-368aaed78ed9 (old id 672499)
- date added to LUP
- 2016-04-01 15:41:09
- date last changed
- 2022-02-12 17:06:20
@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}},
keywords = {{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}},
doi = {{10.1016/j.nuclphysa.2006.11.052}},
volume = {{784}},
year = {{2007}},
}