Multi-configuration Hartree-Fock theory in nuclei

Autores
Faessler, Amand; Plastino, Ángel Luis
Año de publicación
1969
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A variational method for the self-consistent solution of the nuclear many body problem with the inclusion of correlations is formulated. The trial function in this multiconfiguration-Hartree-Fock (MCHF) theory is a linear combination of unrestricted Slater determinants. The MCHF equations are given and a simple procedure for solving them is outlined. A great advantage of this method is that it also yields the excited states. It is shown that the trial function is stable against particle-hole excitations. Therefore the Slater determinants differ from each other at least by two particle — two hole excitations. This method is applied to the Lipkin model. In the MCHF method the difference to the exact solution is reduced by a factor three to ten compared with the corresponding value in the HF approach.
Instituto de Física La Plata
Materia
Física
Ciencias Exactas
multiconfiguration-Hartree-Fock
nuclear many body
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/145164

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spelling Multi-configuration Hartree-Fock theory in nucleiFaessler, AmandPlastino, Ángel LuisFísicaCiencias Exactasmulticonfiguration-Hartree-Focknuclear many bodyA variational method for the self-consistent solution of the nuclear many body problem with the inclusion of correlations is formulated. The trial function in this multiconfiguration-Hartree-Fock (MCHF) theory is a linear combination of unrestricted Slater determinants. The MCHF equations are given and a simple procedure for solving them is outlined. A great advantage of this method is that it also yields the excited states. It is shown that the trial function is stable against particle-hole excitations. Therefore the Slater determinants differ from each other at least by two particle — two hole excitations. This method is applied to the Lipkin model. In the MCHF method the difference to the exact solution is reduced by a factor three to ten compared with the corresponding value in the HF approach.Instituto de Física La Plata1969-02-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf88-100http://sedici.unlp.edu.ar/handle/10915/145164enginfo:eu-repo/semantics/altIdentifier/issn/0939-7922info:eu-repo/semantics/altIdentifier/issn/1434-6001info:eu-repo/semantics/altIdentifier/issn/1434-601xinfo:eu-repo/semantics/altIdentifier/doi/10.1007/bf01394412info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:24:14Zoai:sedici.unlp.edu.ar:10915/145164Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:24:15.097SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Multi-configuration Hartree-Fock theory in nuclei
title Multi-configuration Hartree-Fock theory in nuclei
spellingShingle Multi-configuration Hartree-Fock theory in nuclei
Faessler, Amand
Física
Ciencias Exactas
multiconfiguration-Hartree-Fock
nuclear many body
title_short Multi-configuration Hartree-Fock theory in nuclei
title_full Multi-configuration Hartree-Fock theory in nuclei
title_fullStr Multi-configuration Hartree-Fock theory in nuclei
title_full_unstemmed Multi-configuration Hartree-Fock theory in nuclei
title_sort Multi-configuration Hartree-Fock theory in nuclei
dc.creator.none.fl_str_mv Faessler, Amand
Plastino, Ángel Luis
author Faessler, Amand
author_facet Faessler, Amand
Plastino, Ángel Luis
author_role author
author2 Plastino, Ángel Luis
author2_role author
dc.subject.none.fl_str_mv Física
Ciencias Exactas
multiconfiguration-Hartree-Fock
nuclear many body
topic Física
Ciencias Exactas
multiconfiguration-Hartree-Fock
nuclear many body
dc.description.none.fl_txt_mv A variational method for the self-consistent solution of the nuclear many body problem with the inclusion of correlations is formulated. The trial function in this multiconfiguration-Hartree-Fock (MCHF) theory is a linear combination of unrestricted Slater determinants. The MCHF equations are given and a simple procedure for solving them is outlined. A great advantage of this method is that it also yields the excited states. It is shown that the trial function is stable against particle-hole excitations. Therefore the Slater determinants differ from each other at least by two particle — two hole excitations. This method is applied to the Lipkin model. In the MCHF method the difference to the exact solution is reduced by a factor three to ten compared with the corresponding value in the HF approach.
Instituto de Física La Plata
description A variational method for the self-consistent solution of the nuclear many body problem with the inclusion of correlations is formulated. The trial function in this multiconfiguration-Hartree-Fock (MCHF) theory is a linear combination of unrestricted Slater determinants. The MCHF equations are given and a simple procedure for solving them is outlined. A great advantage of this method is that it also yields the excited states. It is shown that the trial function is stable against particle-hole excitations. Therefore the Slater determinants differ from each other at least by two particle — two hole excitations. This method is applied to the Lipkin model. In the MCHF method the difference to the exact solution is reduced by a factor three to ten compared with the corresponding value in the HF approach.
publishDate 1969
dc.date.none.fl_str_mv 1969-02-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/145164
url http://sedici.unlp.edu.ar/handle/10915/145164
dc.language.none.fl_str_mv eng
language eng
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info:eu-repo/semantics/altIdentifier/issn/1434-6001
info:eu-repo/semantics/altIdentifier/issn/1434-601x
info:eu-repo/semantics/altIdentifier/doi/10.1007/bf01394412
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
88-100
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instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
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instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
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