2003/03/04 by V. Zelevinsky, Vladimir Zelevinsky, A. Volya +1 · 1 citation
Materials Science · Physics and Astronomy · #Atomic nucleus #Electron #Electron pair #Nuclear physics research studies #Nuclear structure #Pairing #Rare-earth and actinide compounds #Solid-state spectroscopy and crystallography #Superconductivity #nucl-th
paper · pdf · doi:10.1134/1.1619492
47 pages, 11 figures
arxiv created 2003/03/04 · openalex publication_date 2003/10/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Nuclear pairing correlations are known to play an important role in various single-particle and collective aspects of nuclear structure. After the first idea by A. Bohr, B. Mottelson, and D. Pines on similarity of nuclear pairing to electron superconductivity, S.T. Belyaev gave a thorough analysis of the manifestations of pairing in complex nuclei. The current revival of interest in nuclear pairing is connected to the shift of modern nuclear physics towards nuclei far from stability; many loosely bound nuclei are particle-stable only due to the pairing. The theoretical methods borrowed from macroscopic superconductivity turn out to be insufficient for finite systems such as nuclei, in particular, for the cases of weak pairing and proximity of continuum states. We suggest a simple numerical procedure of exact solution of the nuclear pairing problem and discuss the physical features of this complete solution. We show also how the continuum states can be naturally included in the consideration bridging the gap between the structure and reactions. The path from coherent pairing to chaos and thermalization and perspectives of new theoretical approaches based on the full solution of pairing are discussed.