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Cooper pairs in atomic nuclei

AutorDussel, G. G.; Pittel, S.; Dukelsky, Jorge ; Sarriguren, Pedro
Palabras clave[PACS] Nuclear structure models and methods
[PACS] Integrable systems
[PACS] Degenerate Fermi gases
[PACS] BCS theory and its development
Fecha de publicación5-jul-2007
EditorAmerican Physical Society
CitaciónPhysical Review C 76(1): 011302 (2007)
ResumenWe consider the development of Cooper pairs in a self-consistent Hartree-Fock mean field for the even Sm isotopes. Results are presented at the level of a BCS treatment, a number-projected BCS treatment and an exact treatment using the Richardson ansatz. For a fixed value of the pairing strength, projected BCS captures much of the pairing correlation energy that is absent from BCS, but still misses a sizable component, typically of order 1 MeV. Furthermore, because it does not average over the properties of the fermion pairs, the exact Richardson solution permits a more meaningful definition of the Cooper wave function and of the fraction of pairs that are collective.
Descripción5 pages, 1 table, 3 figures.-- PACS nrs.: 21.60.-n; 02.30.Ik; 03.75.Ss; 74.20.Fg.-- ArXiv pre-print available at: http://arxiv.org/abs/0704.1594
Versión del editorhttp://dx.doi.org/10.1103/PhysRevC.76.011302
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