Approximate particle number projection for finite range density dependent forces

1995/05/30 by A. Valor, J.L. Egido, J. L. Egido +1 · 1 citation
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Materials science #Mathematics #Nuclear physics research studies #Particle (ecology) #Particle number #Physics #Plasma #Projection (relational algebra) #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Range (aeronautics) #Spins #nucl-th

paper · pdf · doi:10.1103/physrevc.53.172

published as Phys.Rev.C53:172-175,1996 · 5 pages, RevTeX 3.0, 3 postscript figures included using uufiles. Submitted to Phys. Rev. Lett

arxiv created 1995/05/30 · openalex publication_date 1996/01/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The Lipkin-Nogami method is generalized to deal with finite range density dependent forces. New expressions are derived and realistic calculations with the Gogny force are performed for the nuclei ¹⁶⁴Er and ¹⁶⁸Er. The sharp phase transition predicted by the mean field approximation is washed out by the Lipkin-Nogami approach. A much better agreement with the experimental data is reached with the new approach than with the Hartree-Fock-Bogoliubov one, especially at high spins. \textcopyright 1996 The American Physical Society.

Citations

• Approximate particle number projection for rotating nuclei
• Microscopic analysis of collective dynamics in low energy fission

Cited by

• On the solution of the number-projected Hartree-Fock-Bogolyubov equations
• Beyond the relativistic mean-field approximation. II. Configuration mixing of mean-field wave functions projected on angular momentum and particle number