Variation after particle-number projection for the Hartree-Fock-Bogoliubov method with the Skyrme energy density functional

2006/10/14 by M. V. Stoitsov, J. Dobaczewski, R. Kirchner +2 · 4 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced NMR Techniques and Applications #Algorithm #Energy (signal processing) #Hartree–Fock method #Materials science #Mathematical physics #Mathematics #Nuclear physics research studies #Pairing #Particle (ecology) #Particle number #Physics #Plasma #Projection (relational algebra) #Quantum electrodynamics #Quantum mechanics #Range (aeronautics) #Statistical physics #Variation (astronomy) #nucl-th

paper · pdf · doi:10.1103/physrevc.76.014308

published as Phys.Rev.C76:014308,2007 · 11 pages, 6 figures

arxiv created 2006/10/14 · openalex publication_date 2007/07/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Variation after particle-number restoration is incorporated for the first time into the Hartree-Fock-Bogoliubov (HFB) framework employing the Skyrme energy density functional with zero-range pairing. The resulting projected HFB equations can be expressed in terms of the local gauge-angle-dependent densities. Results of projected calculations are compared with those obtained within the Lipkin-Nogami method in the standard version and with the Lipkin-Nogami method followed by exact particle-number projection.

Citations

• Approximate particle number projection for rotating nuclei
• Theory of Superconductivity
• Pairing interaction and self-consistent densities in neutron-rich nuclei
• Implementation of a variational approach to approximate particle number projection with effective forces
• Shell structure of the superheavy elements

Cited by

• Nuclear energy density optimization
• Solution of the Skyrme–Hartree–Fock–Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis.
• Description of induced nuclear fission with Skyrme energy functionals. II. Finite temperature effects
• Particle-number restoration within the energy density functional formalism