Comparison between exact and approximate treatments of the pairing interaction for finite fermi systems

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 th...

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Publicado: 2003
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759474_v714_n1-2_p63_Dukelsky
http://hdl.handle.net/20.500.12110/paper_03759474_v714_n1-2_p63_Dukelsky
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_03759474_v714_n1-2_p63_Dukelsky
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spelling paper:paper_03759474_v714_n1-2_p63_Dukelsky2023-06-08T15:38:20Z Comparison between exact and approximate treatments of the pairing interaction for finite fermi systems 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). © 2002 Elsevier Science B.V. All rights reserved. 2003 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759474_v714_n1-2_p63_Dukelsky http://hdl.handle.net/20.500.12110/paper_03759474_v714_n1-2_p63_Dukelsky
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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). © 2002 Elsevier Science B.V. All rights reserved.
title Comparison between exact and approximate treatments of the pairing interaction for finite fermi systems
spellingShingle Comparison between exact and approximate treatments of the pairing interaction for finite fermi systems
title_short Comparison between exact and approximate treatments of the pairing interaction for finite fermi systems
title_full Comparison between exact and approximate treatments of the pairing interaction for finite fermi systems
title_fullStr Comparison between exact and approximate treatments of the pairing interaction for finite fermi systems
title_full_unstemmed Comparison between exact and approximate treatments of the pairing interaction for finite fermi systems
title_sort comparison between exact and approximate treatments of the pairing interaction for finite fermi systems
publishDate 2003
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759474_v714_n1-2_p63_Dukelsky
http://hdl.handle.net/20.500.12110/paper_03759474_v714_n1-2_p63_Dukelsky
_version_ 1768541848301731840

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