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The Pairing interaction in nuclei: comparison between exact and approximate treatments

2002/06/06 by J. Dukelsky, G. G. Dussel, Dukelsky, J. +8
Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #Scientific Research and Discoveries #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/0206016

18 pages and 1 figure. Some equations corrected. One new author

openalex publication_date 2002/06/06 · arxiv created 2002/07/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

As a model for a deformed nucleus the many level pairing model (picket fence model with ~100 levels) is considered in four approximations and compared to the exact solution given by Richardson long time ago. It is found that, as usual, the number projected BCS method improves over standard BCS but that it is much less accurate than the more sophisticated many-body-approaches which are Coupled Cluster Theory (CCT) in its SUB2 version or Self-Consistent Random Phase Approximation (SCRPA).

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