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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todo:paper_03759474_v714_n1-2_p63_Dukelsky2023-10-03T15:30:47Z Comparison between exact and approximate treatments of the pairing interaction for finite fermi systems Dukelsky, J. Dussel, G.G. Hirsch, J.G. Schuck, P. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 |
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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. |
| format |
JOUR |
| author |
Dukelsky, J. Dussel, G.G. Hirsch, J.G. Schuck, P. |
| spellingShingle |
Dukelsky, J. Dussel, G.G. Hirsch, J.G. Schuck, P. Comparison between exact and approximate treatments of the pairing interaction for finite fermi systems |
| author_facet |
Dukelsky, J. Dussel, G.G. Hirsch, J.G. Schuck, P. |
| author_sort |
Dukelsky, J. |
| title |
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 |
| url |
http://hdl.handle.net/20.500.12110/paper_03759474_v714_n1-2_p63_Dukelsky |
| work_keys_str_mv |
AT dukelskyj comparisonbetweenexactandapproximatetreatmentsofthepairinginteractionforfinitefermisystems AT dusselgg comparisonbetweenexactandapproximatetreatmentsofthepairinginteractionforfinitefermisystems AT hirschjg comparisonbetweenexactandapproximatetreatmentsofthepairinginteractionforfinitefermisystems AT schuckp comparisonbetweenexactandapproximatetreatmentsofthepairinginteractionforfinitefermisystems |
| _version_ |
1807319795176046592 |