Beyond mean-field calculation for pairing correlation

Abstract

The recently proposed Symmetry-Conserving Energy Density Functional approach [G. Hupin, D. Lacroix and M. Bender, Phys. Rev. C84, 014309 (2011)] is applied to perform Variation After Projection onto good particle number using Skyrme interaction, including density dependent terms. We present a systematic study of the Kr and Sn isotopic chains. This approach leads to non-zero pairing in magic nuclei and a global enhancement of the pairing gap compared to the original theory that breaks the particle number symmetry. The need to consistently readjust the pairing effective interaction strength is discussed.

7 pages, 9 figures

References in corpus (4)

• Isovector splitting of nucleon effective masses, ab-initio benchmarks and extended stability criteria for Skyrme energy functionals
• Particle-Number Projection and the Density Functional Theory
• BCS-BEC crossover of neutron pairs in symmetric and asymmetric nuclear matter
• On the formulation of functional theory for pairing with particle number restoration

Cited by in corpus (7)

• Microscopic Theory of Nuclear Fission: A Review
• Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
• Uncertainty Quantification and Propagation in Nuclear Density Functional Theory
• On the description of two-particle transfer in superfluid systems
• Generator coordinate method with a conjugate momentum: application to the particle number projection
• Variational Principle Directly on the Coherent Pair Condensate. I. the BCS Case
• Application of the variational principle to a coherent-pair condensate: The HFB case