Signatures for shape-phase transitions in the rare-earth nuclei, in the evolution of single-particle spectra and two-particle transfer-intensities

The rare-earth Nd, Sm, Gd and Dy nuclei are well known to undergo a shape-phase transition around N - 90 from vibrational to rotational behaviour - or, correspondingly - from a spherical nuclear shape to an axial-symmetric deformed shape. This can experimentally be verified by, for example, the evol...

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Author: R. Fossion
Format: article
Status:Published version
Publication Date:2008
Country:México
Institution:Universidad Nacional Autónoma de México
Repository:Redalyc-UNAM
OAI Identifier:oai:redalyc.org:57016055008
Online Access:https://www.redalyc.org/articulo.oa?id=57016055008
Access Level:Open access
Keyword:Física, Astronomía y Matemáticas
quantum phase transitions
Nuclear structure models and methods
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spelling Signatures for shape-phase transitions in the rare-earth nuclei, in the evolution of single-particle spectra and two-particle transfer-intensitiesR. FossionFísica, Astronomía y Matemáticasquantum phase transitionsNuclear structure models and methodsThe rare-earth Nd, Sm, Gd and Dy nuclei are well known to undergo a shape-phase transition around N - 90 from vibrational to rotational behaviour - or, correspondingly - from a spherical nuclear shape to an axial-symmetric deformed shape. This can experimentally be verified by, for example, the evolution of the R4/2= E(4+1) / E (2+1) ratio, or the evolution of the quadrupole moment, Q2. Recently, the study of nuclear phase-shape transitions has gained considerable interest, since the introduction of exact algebraic solutions for the critical points of many of the different phase-shape transitions that are possible in the atomic nucleus. In this contribution, in the first part, we investigate the microscopic underlying mechanism that drives the rare-earth isotopes towards deformation, studying the evolution of their proton and neutron single-particle spectra within the Relativistic Hartree-Bogoliubov model. In the second part, within the Interacting Boson Model and the framework with boson coherent states, and in the light of renewed interest in experiments on two-particle transfer-reactions, we study the evolution of the transfer spectroscopic intensities as a possible signature of shape-phase transitions.Sociedad Mexicana de Física A.C.2008info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdf0035-001Xhttps://www.redalyc.org/articulo.oa?id=57016055008Revista Mexicana de Física (México) Num.3 Vol.54reponame:Redalyc-UNAMinstname:Universidad Nacional Autónoma de Méxicoinstacron:UNAMenhttp://www.redalyc.org/revista.oa?id=570Revista Mexicana de Físicainfo:eu-repo/semantics/openAccessoai:redalyc.org:570160550082025-09-03T18:07:35Z
dc.title.none.fl_str_mv Signatures for shape-phase transitions in the rare-earth nuclei, in the evolution of single-particle spectra and two-particle transfer-intensities
title Signatures for shape-phase transitions in the rare-earth nuclei, in the evolution of single-particle spectra and two-particle transfer-intensities
spellingShingle Signatures for shape-phase transitions in the rare-earth nuclei, in the evolution of single-particle spectra and two-particle transfer-intensities
R. Fossion
Física, Astronomía y Matemáticas
quantum phase transitions
Nuclear structure models and methods
title_short Signatures for shape-phase transitions in the rare-earth nuclei, in the evolution of single-particle spectra and two-particle transfer-intensities
title_full Signatures for shape-phase transitions in the rare-earth nuclei, in the evolution of single-particle spectra and two-particle transfer-intensities
title_fullStr Signatures for shape-phase transitions in the rare-earth nuclei, in the evolution of single-particle spectra and two-particle transfer-intensities
title_full_unstemmed Signatures for shape-phase transitions in the rare-earth nuclei, in the evolution of single-particle spectra and two-particle transfer-intensities
title_sort Signatures for shape-phase transitions in the rare-earth nuclei, in the evolution of single-particle spectra and two-particle transfer-intensities
dc.creator.none.fl_str_mv R. Fossion
author R. Fossion
author_facet R. Fossion
author_role author
dc.subject.none.fl_str_mv Física, Astronomía y Matemáticas
quantum phase transitions
Nuclear structure models and methods
topic Física, Astronomía y Matemáticas
quantum phase transitions
Nuclear structure models and methods
description The rare-earth Nd, Sm, Gd and Dy nuclei are well known to undergo a shape-phase transition around N - 90 from vibrational to rotational behaviour - or, correspondingly - from a spherical nuclear shape to an axial-symmetric deformed shape. This can experimentally be verified by, for example, the evolution of the R4/2= E(4+1) / E (2+1) ratio, or the evolution of the quadrupole moment, Q2. Recently, the study of nuclear phase-shape transitions has gained considerable interest, since the introduction of exact algebraic solutions for the critical points of many of the different phase-shape transitions that are possible in the atomic nucleus. In this contribution, in the first part, we investigate the microscopic underlying mechanism that drives the rare-earth isotopes towards deformation, studying the evolution of their proton and neutron single-particle spectra within the Relativistic Hartree-Bogoliubov model. In the second part, within the Interacting Boson Model and the framework with boson coherent states, and in the light of renewed interest in experiments on two-particle transfer-reactions, we study the evolution of the transfer spectroscopic intensities as a possible signature of shape-phase transitions.
publishDate 2008
dc.date.none.fl_str_mv 2008
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv 0035-001X
https://www.redalyc.org/articulo.oa?id=57016055008
identifier_str_mv 0035-001X
url https://www.redalyc.org/articulo.oa?id=57016055008
dc.language.none.fl_str_mv en
language_invalid_str_mv en
dc.relation.none.fl_str_mv http://www.redalyc.org/revista.oa?id=570
dc.rights.none.fl_str_mv Revista Mexicana de Física
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Revista Mexicana de Física
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Sociedad Mexicana de Física A.C.
publisher.none.fl_str_mv Sociedad Mexicana de Física A.C.
dc.source.none.fl_str_mv Revista Mexicana de Física (México) Num.3 Vol.54
reponame:Redalyc-UNAM
instname:Universidad Nacional Autónoma de México
instacron:UNAM
instname_str Universidad Nacional Autónoma de México
instacron_str UNAM
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