A variational approach to approximate particle number projection with effective forces

Abstract

Kamlah's second order method for approximate particle number projection is applied for the first time to variational calculations with effective forces. High spin states of normal and superdeformed nuclei have been calculated with the finite range density dependent Gogny force for several nuclei. Advantages and drawbacks of the Kamlah second order method as compared to the Lipkin-Nogami recipe are thoroughly discussed. We find that the Lipkin-Nogami prescription occasionally may fail to find the right energy minimum in the strong pairing regime and that Kamlah's second order approach, though providing better results than the LN one, may break down in some limiting situations.

16 pages, 8 figures

References in corpus (3)

• Microscopic study of superdeformation in the A=150 mass region
• Relative spins and excitation energies of superdeformed bands in 190Hg: Further evidence for octupole vibration
• Approximate particle number projection for finite range density dependent forces

Cited by in corpus (7)

• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Variation after Particle-Number Projection for the HFB Method with the Skyrme Energy Density Functional
• Mean-field Based Approaches to Pairing Correlations in Atomic Nuclei
• Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
• The Skyrme energy functional and low lying 2+ states in Sn, Cd and Te isotopes
• Lipkin method of particle-number restoration to higher orders
• Lipkin translational-symmetry restoration in the mean-field and energy-density-functional methods