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Treatment of pairing correlations in nuclei close to drip lines

2000/10/05 by Nguyen Van Giai, N. Van Giai, M. Grasso +6
Physics and Astronomy · #FOS: Physical sciences #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Nuclear physics research studies #Scientific Research and Discoveries #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/0010022

12 pages, 4 Postscript figures, uses KapProc.cls, to appear in Proceedings of NATO School " Nuclei far from stability and astrophysics", Predeal, Romania, 2000

arxiv created 2000/10/05 · openalex publication_date 2000/10/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the HFB equations in coordinate representation,a suitable method for handling the full effects of the continuous quasiparticle spectrum. We show how the continuum HFB equations can be solved with the correct asymptotic conditions instead of the discretization conditions which are commonly used in the literature. The continuum HFB method is illustrated with a model where the mean field and pairing field have simple forms. The relationship with the continuum Hartree-Fock-BCS (HF-BCS) approximation is also discussed. Realistic HFB and HF-BCS calculations based on Skyrme interactions are compared for the case of a neutron-rich nucleus.

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