Finite-size instabilities in finite-range forces

It has been recently shown that some Gogny finite-range interactions suffer from finite-size instabilities in coordinate-space calculations [Eur. Phys. J. A 55, 150 (2019)]. We confirm this finding by using the Hartree-Fock (HF) method in the quasilocal approximation to finite-range forces. The use...

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Autores: González Boquera, Claudia, Centelles Aixalà, Mario, Viñas Gausí, Xavier, Robledo, Luis M.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/215346
Acceso en línea:https://hdl.handle.net/2445/215346
Access Level:acceso abierto
Palabra clave:Estructura nuclear
Forces nuclears (Física)
Nuclear structure
Nuclear forces (Physics)
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spelling Finite-size instabilities in finite-range forcesGonzález Boquera, ClaudiaCentelles Aixalà, MarioViñas Gausí, XavierRobledo, Luis M.Estructura nuclearForces nuclears (Física)Nuclear structureNuclear forces (Physics)It has been recently shown that some Gogny finite-range interactions suffer from finite-size instabilities in coordinate-space calculations [Eur. Phys. J. A 55, 150 (2019)]. We confirm this finding by using the Hartree-Fock (HF) method in the quasilocal approximation to finite-range forces. The use of the quasilocal approximation substantially simplifies the calculations as compared with those including the exact exchange contribution to the energy and HF fields. The quantity most affected by the finite-size instabilities in the coordinate-space calculations is the spatial density at the origin that wildly oscillates as the HF iterative process proceeds. In addition to the recent D1M* parametrization of the Gogny force, we find that the D1M parametrization also shows this deficiency in several nuclei. We find that the harmonic-oscillator basis with its ultraviolet cutoff provides converged results in a wide and realistic range of basis sizes. This result serves as a justification of the numerous calculations with D1M and D1M* in finite nuclei that show no trace of instability.American Physical Society2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/215346Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a:Physical Review C, 2021, vol. C103, p. 1-7(c) American Physical Society, 2021info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/2153462026-05-27T06:46:51Z
dc.title.none.fl_str_mv Finite-size instabilities in finite-range forces
title Finite-size instabilities in finite-range forces
spellingShingle Finite-size instabilities in finite-range forces
González Boquera, Claudia
Estructura nuclear
Forces nuclears (Física)
Nuclear structure
Nuclear forces (Physics)
title_short Finite-size instabilities in finite-range forces
title_full Finite-size instabilities in finite-range forces
title_fullStr Finite-size instabilities in finite-range forces
title_full_unstemmed Finite-size instabilities in finite-range forces
title_sort Finite-size instabilities in finite-range forces
dc.creator.none.fl_str_mv González Boquera, Claudia
Centelles Aixalà, Mario
Viñas Gausí, Xavier
Robledo, Luis M.
author González Boquera, Claudia
author_facet González Boquera, Claudia
Centelles Aixalà, Mario
Viñas Gausí, Xavier
Robledo, Luis M.
author_role author
author2 Centelles Aixalà, Mario
Viñas Gausí, Xavier
Robledo, Luis M.
author2_role author
author
author
dc.subject.none.fl_str_mv Estructura nuclear
Forces nuclears (Física)
Nuclear structure
Nuclear forces (Physics)
topic Estructura nuclear
Forces nuclears (Física)
Nuclear structure
Nuclear forces (Physics)
description It has been recently shown that some Gogny finite-range interactions suffer from finite-size instabilities in coordinate-space calculations [Eur. Phys. J. A 55, 150 (2019)]. We confirm this finding by using the Hartree-Fock (HF) method in the quasilocal approximation to finite-range forces. The use of the quasilocal approximation substantially simplifies the calculations as compared with those including the exact exchange contribution to the energy and HF fields. The quantity most affected by the finite-size instabilities in the coordinate-space calculations is the spatial density at the origin that wildly oscillates as the HF iterative process proceeds. In addition to the recent D1M* parametrization of the Gogny force, we find that the D1M parametrization also shows this deficiency in several nuclei. We find that the harmonic-oscillator basis with its ultraviolet cutoff provides converged results in a wide and realistic range of basis sizes. This result serves as a justification of the numerous calculations with D1M and D1M* in finite nuclei that show no trace of instability.
publishDate 2021
dc.date.none.fl_str_mv 2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/215346
url https://hdl.handle.net/2445/215346
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a:
Physical Review C, 2021, vol. C103, p. 1-7
dc.rights.none.fl_str_mv (c) American Physical Society, 2021
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Physical Society, 2021
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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