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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Publicado: 2007
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v76_n1_p_Dussel
http://hdl.handle.net/20.500.12110/paper_05562813_v76_n1_p_Dussel
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_05562813_v76_n1_p_Dussel
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spelling paper:paper_05562813_v76_n1_p_Dussel2023-06-08T15:41:56Z 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, 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. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v76_n1_p_Dussel 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.
title Cooper pairs in atomic nuclei
spellingShingle 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
publishDate 2007
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v76_n1_p_Dussel
http://hdl.handle.net/20.500.12110/paper_05562813_v76_n1_p_Dussel
_version_ 1768545422346813440

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