Particle number projection in the macroscopic-microscopic approach

Henrik Uhrenholt, Ragnar Bengtsson, P. Moller

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Pages (from-to)104-146
JournalNuclear Physics, Section A
Volume784
Issue number1-4
DOIs
Publication statusPublished - 2007

Bibliographical note

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)

Subject classification (UKÄ)

  • Physical Sciences

Free keywords

  • nuclear pairing
  • particle number projection

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