Cooper pairs in atomic nuclei
We 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, pr...
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todo:paper_05562813_v76_n1_p_Dussel2023-10-03T15:35:04Z Cooper pairs in atomic nuclei Dussel, G.G. Pittel, S. Dukelsky, J. Sarriguren, P. We 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. © 2007 The American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_05562813_v76_n1_p_Dussel |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
We 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. © 2007 The American Physical Society. |
| format |
JOUR |
| author |
Dussel, G.G. Pittel, S. Dukelsky, J. Sarriguren, P. |
| spellingShingle |
Dussel, G.G. Pittel, S. Dukelsky, J. Sarriguren, P. Cooper pairs in atomic nuclei |
| author_facet |
Dussel, G.G. Pittel, S. Dukelsky, J. Sarriguren, P. |
| author_sort |
Dussel, G.G. |
| title |
Cooper pairs in atomic nuclei |
| title_short |
Cooper pairs in atomic nuclei |
| title_full |
Cooper pairs in atomic nuclei |
| title_fullStr |
Cooper pairs in atomic nuclei |
| title_full_unstemmed |
Cooper pairs in atomic nuclei |
| title_sort |
cooper pairs in atomic nuclei |
| url |
http://hdl.handle.net/20.500.12110/paper_05562813_v76_n1_p_Dussel |
| work_keys_str_mv |
AT dusselgg cooperpairsinatomicnuclei AT pittels cooperpairsinatomicnuclei AT dukelskyj cooperpairsinatomicnuclei AT sarrigurenp cooperpairsinatomicnuclei |
| _version_ |
1782028971015143424 |