Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method. II. Deformed nuclei

The binding energies of deformed even-even nuclei have been analyzed within the framework of a recently proposed microscopic-macroscopic model. We have used the semiclassical Wigner-Kirkwood ̄h expansion up to fourth order, instead of the usual Strutinsky averaging scheme, to compute the shell corre...

Descripción completa

Detalles Bibliográficos
Autores: Bhagwat, A., Viñas Gausí, Xavier, Centelles Aixalà, Mario, Schuck, Peter, Wyss, R.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/45412
Acceso en línea:https://hdl.handle.net/2445/45412
Access Level:acceso abierto
Palabra clave:Física nuclear
Partícules (Física nuclear)
Massa (Física)
Teoria quàntica
Nuclear physics
Particles (Nuclear physics)
Mass (Physics)
Quantum theory
id ES_e1dcd6e8ca8f118d4df72cdf0efb5325
oai_identifier_str oai:diposit.ub.edu:2445/45412
network_acronym_str ES
network_name_str España
repository_id_str
spelling Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method. II. Deformed nucleiBhagwat, A.Viñas Gausí, XavierCentelles Aixalà, MarioSchuck, PeterWyss, R.Física nuclearPartícules (Física nuclear)Massa (Física)Teoria quànticaNuclear physicsParticles (Nuclear physics)Mass (Physics)Quantum theoryThe binding energies of deformed even-even nuclei have been analyzed within the framework of a recently proposed microscopic-macroscopic model. We have used the semiclassical Wigner-Kirkwood ̄h expansion up to fourth order, instead of the usual Strutinsky averaging scheme, to compute the shell corrections in a deformed Woods-Saxon potential including the spin-orbit contribution. For a large set of 561 even-even nuclei with Z 8 and N 8, we find an rms deviation from the experiment of 610 keV in binding energies, comparable to the one found for the same set of nuclei using the finite range droplet model of Moller and Nix (656 keV). As applications of our model, we explore its predictive power near the proton and neutron drip lines as well as in the superheavy mass region. Next, we systematically explore the fourth-order Wigner-Kirkwood corrections to the smooth part of the energy. It is found that the ratio of the fourth-order to the second-order corrections behaves in a very regular manner as a function of the asymmetry parameter I=(N−Z)/A. This allows us to absorb the fourth-order corrections into the second-order contributions to the binding energy, which enables us us to simplify and speed up the calculation of deformed nuclei.American Physical Society2012info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/45412Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevC.86.044316Physical Review C, 2012, vol. 86, num. 4, p. 044316-1-044316-12http://dx.doi.org/10.1103/PhysRevC.86.044316(c) American Physical Society, 2012info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/454122026-05-27T06:46:51Z
dc.title.none.fl_str_mv Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method. II. Deformed nuclei
title Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method. II. Deformed nuclei
spellingShingle Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method. II. Deformed nuclei
Bhagwat, A.
Física nuclear
Partícules (Física nuclear)
Massa (Física)
Teoria quàntica
Nuclear physics
Particles (Nuclear physics)
Mass (Physics)
Quantum theory
title_short Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method. II. Deformed nuclei
title_full Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method. II. Deformed nuclei
title_fullStr Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method. II. Deformed nuclei
title_full_unstemmed Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method. II. Deformed nuclei
title_sort Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method. II. Deformed nuclei
dc.creator.none.fl_str_mv Bhagwat, A.
Viñas Gausí, Xavier
Centelles Aixalà, Mario
Schuck, Peter
Wyss, R.
author Bhagwat, A.
author_facet Bhagwat, A.
Viñas Gausí, Xavier
Centelles Aixalà, Mario
Schuck, Peter
Wyss, R.
author_role author
author2 Viñas Gausí, Xavier
Centelles Aixalà, Mario
Schuck, Peter
Wyss, R.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Física nuclear
Partícules (Física nuclear)
Massa (Física)
Teoria quàntica
Nuclear physics
Particles (Nuclear physics)
Mass (Physics)
Quantum theory
topic Física nuclear
Partícules (Física nuclear)
Massa (Física)
Teoria quàntica
Nuclear physics
Particles (Nuclear physics)
Mass (Physics)
Quantum theory
description The binding energies of deformed even-even nuclei have been analyzed within the framework of a recently proposed microscopic-macroscopic model. We have used the semiclassical Wigner-Kirkwood ̄h expansion up to fourth order, instead of the usual Strutinsky averaging scheme, to compute the shell corrections in a deformed Woods-Saxon potential including the spin-orbit contribution. For a large set of 561 even-even nuclei with Z 8 and N 8, we find an rms deviation from the experiment of 610 keV in binding energies, comparable to the one found for the same set of nuclei using the finite range droplet model of Moller and Nix (656 keV). As applications of our model, we explore its predictive power near the proton and neutron drip lines as well as in the superheavy mass region. Next, we systematically explore the fourth-order Wigner-Kirkwood corrections to the smooth part of the energy. It is found that the ratio of the fourth-order to the second-order corrections behaves in a very regular manner as a function of the asymmetry parameter I=(N−Z)/A. This allows us to absorb the fourth-order corrections into the second-order contributions to the binding energy, which enables us us to simplify and speed up the calculation of deformed nuclei.
publishDate 2012
dc.date.none.fl_str_mv 2012
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/2445/45412
url https://hdl.handle.net/2445/45412
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevC.86.044316
Physical Review C, 2012, vol. 86, num. 4, p. 044316-1-044316-12
http://dx.doi.org/10.1103/PhysRevC.86.044316
dc.rights.none.fl_str_mv (c) American Physical Society, 2012
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Physical Society, 2012
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
_version_ 1869422333125459968
score 15,300724

Similares en LA Referencia