Comparison between the temperature and the time-dependent Hartree-Fock-Bogoliubov descriptions of the pairing interaction

The thermal and the time-dependent versions of the Hartree-Fock-Bogoliubov approximation are used to describe the effects of the pairing interaction in a simple model. Similarities and differences between the two approaches are discussed. In the one-shell case analytic results are obtained which cle...

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Autores principales: Cambiaggio de Questa, María Cristina, Carbone, Fernando Gabriel, Dussel, Guillermo Gaspar
Publicado: 1994
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v49_n1_p194_Cambiaggio
http://hdl.handle.net/20.500.12110/paper_05562813_v49_n1_p194_Cambiaggio
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_05562813_v49_n1_p194_Cambiaggio2023-06-08T15:41:39Z Comparison between the temperature and the time-dependent Hartree-Fock-Bogoliubov descriptions of the pairing interaction Cambiaggio de Questa, María Cristina Carbone, Fernando Gabriel Dussel, Guillermo Gaspar The thermal and the time-dependent versions of the Hartree-Fock-Bogoliubov approximation are used to describe the effects of the pairing interaction in a simple model. Similarities and differences between the two approaches are discussed. In the one-shell case analytic results are obtained which clearly show that as the degeneracy increases the exact energies tend to the limits provided by the approximate methods. A relation between the quasiparticle occupation probability and the seniority is established. In the two-shell case the time-dependent approach approximates all the families of exact states labeled by the shell seniority and gives information on the two different phase transitions present in the model. The finite-temperature method, instead, only approximates the exact energy for the lowest state of each family. © 1994 The American Physical Society. Fil:Cambiaggio, M.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Carbone, F.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Dussel, G.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1994 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v49_n1_p194_Cambiaggio http://hdl.handle.net/20.500.12110/paper_05562813_v49_n1_p194_Cambiaggio
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The thermal and the time-dependent versions of the Hartree-Fock-Bogoliubov approximation are used to describe the effects of the pairing interaction in a simple model. Similarities and differences between the two approaches are discussed. In the one-shell case analytic results are obtained which clearly show that as the degeneracy increases the exact energies tend to the limits provided by the approximate methods. A relation between the quasiparticle occupation probability and the seniority is established. In the two-shell case the time-dependent approach approximates all the families of exact states labeled by the shell seniority and gives information on the two different phase transitions present in the model. The finite-temperature method, instead, only approximates the exact energy for the lowest state of each family. © 1994 The American Physical Society.
author Cambiaggio de Questa, María Cristina
Carbone, Fernando Gabriel
Dussel, Guillermo Gaspar
spellingShingle Cambiaggio de Questa, María Cristina
Carbone, Fernando Gabriel
Dussel, Guillermo Gaspar
Comparison between the temperature and the time-dependent Hartree-Fock-Bogoliubov descriptions of the pairing interaction
author_facet Cambiaggio de Questa, María Cristina
Carbone, Fernando Gabriel
Dussel, Guillermo Gaspar
author_sort Cambiaggio de Questa, María Cristina
title Comparison between the temperature and the time-dependent Hartree-Fock-Bogoliubov descriptions of the pairing interaction
title_short Comparison between the temperature and the time-dependent Hartree-Fock-Bogoliubov descriptions of the pairing interaction
title_full Comparison between the temperature and the time-dependent Hartree-Fock-Bogoliubov descriptions of the pairing interaction
title_fullStr Comparison between the temperature and the time-dependent Hartree-Fock-Bogoliubov descriptions of the pairing interaction
title_full_unstemmed Comparison between the temperature and the time-dependent Hartree-Fock-Bogoliubov descriptions of the pairing interaction
title_sort comparison between the temperature and the time-dependent hartree-fock-bogoliubov descriptions of the pairing interaction
publishDate 1994
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v49_n1_p194_Cambiaggio
http://hdl.handle.net/20.500.12110/paper_05562813_v49_n1_p194_Cambiaggio
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AT dusselguillermogaspar comparisonbetweenthetemperatureandthetimedependenthartreefockbogoliubovdescriptionsofthepairinginteraction
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