Extended Analytical Solutions of the Bohr Hamiltonian with the Sextic Oscillator

Low-lying collective quadrupole states in even-even nuclei are studied for the particular case of a γ-unstable potential within the Bohr Hamiltonian. In particular, the quasi-exactly solvable β-sextic potential is extended to cover the most relevant part of the low-lying spectra in nuclei. In previo...

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Detalhes bibliográficos
Autores: Lévai, G., Arias Carrasco, José Miguel
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/153110
Acesso em linha:https://hdl.handle.net/11441/153110
https://doi.org/10.1088/1361-6471/abcdf6
Access Level:acceso abierto
Palavra-chave:Gamma-unstable nuclei
Quasiexactly solvable potentials
Shape phase transitions in nuclei
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spelling Extended Analytical Solutions of the Bohr Hamiltonian with the Sextic OscillatorLévai, G.Arias Carrasco, José MiguelGamma-unstable nucleiQuasiexactly solvable potentialsShape phase transitions in nucleiLow-lying collective quadrupole states in even-even nuclei are studied for the particular case of a γ-unstable potential within the Bohr Hamiltonian. In particular, the quasi-exactly solvable β-sextic potential is extended to cover the most relevant part of the low-lying spectra in nuclei. In previous papers (2004 Phys. Rev. C 69 014304, 2010 Phys Rev. C 81 044304), the same situation was solved for β-wavefunctions with up to one node (M = 0, 1), which are relevant for the first few low-lying states. Here, the model space is enlarged by including β-wavefunctions also with two nodes (M = 2), which generate many more states, in order to make it useful for actual fittings and more detailed checking of shape phase transitions between spherical and γ-unstable β-deformed shapes in nuclei. In addition to the energy eigenvalues and wavefunctions, closed analytical formulas are obtained for electric quadrupole and monopole transition probabilities too. The model is applied to the chains of even Ru and Pd isotopes to illustrate the transition between the spherical and deformed γ-unstable phases. These applications indicate that the optional extension of the model with a phenomenologic rotational term L ⋅ L is consistent with the experimental data.National innovation Office K112962Ministerio de Ciencia e Innovación PID2019-104002GB-C22Institute of Physics PublishingFísica Atómica, Molecular y NuclearNational innovation Office (NKFIH). HungaryMinisterio de Ciencia e Innovación (MICIN). España2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/153110https://doi.org/10.1088/1361-6471/abcdf6reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Physics G: Nuclear and Particle Physics, 48 (8), 085102.K112962PID2019-104002GB-C22https://doi.org/10.1088/1361-6471/abcdf6info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1531102026-06-17T12:51:07Z
dc.title.none.fl_str_mv Extended Analytical Solutions of the Bohr Hamiltonian with the Sextic Oscillator
title Extended Analytical Solutions of the Bohr Hamiltonian with the Sextic Oscillator
spellingShingle Extended Analytical Solutions of the Bohr Hamiltonian with the Sextic Oscillator
Lévai, G.
Gamma-unstable nuclei
Quasiexactly solvable potentials
Shape phase transitions in nuclei
title_short Extended Analytical Solutions of the Bohr Hamiltonian with the Sextic Oscillator
title_full Extended Analytical Solutions of the Bohr Hamiltonian with the Sextic Oscillator
title_fullStr Extended Analytical Solutions of the Bohr Hamiltonian with the Sextic Oscillator
title_full_unstemmed Extended Analytical Solutions of the Bohr Hamiltonian with the Sextic Oscillator
title_sort Extended Analytical Solutions of the Bohr Hamiltonian with the Sextic Oscillator
dc.creator.none.fl_str_mv Lévai, G.
Arias Carrasco, José Miguel
author Lévai, G.
author_facet Lévai, G.
Arias Carrasco, José Miguel
author_role author
author2 Arias Carrasco, José Miguel
author2_role author
dc.contributor.none.fl_str_mv Física Atómica, Molecular y Nuclear
National innovation Office (NKFIH). Hungary
Ministerio de Ciencia e Innovación (MICIN). España
dc.subject.none.fl_str_mv Gamma-unstable nuclei
Quasiexactly solvable potentials
Shape phase transitions in nuclei
topic Gamma-unstable nuclei
Quasiexactly solvable potentials
Shape phase transitions in nuclei
description Low-lying collective quadrupole states in even-even nuclei are studied for the particular case of a γ-unstable potential within the Bohr Hamiltonian. In particular, the quasi-exactly solvable β-sextic potential is extended to cover the most relevant part of the low-lying spectra in nuclei. In previous papers (2004 Phys. Rev. C 69 014304, 2010 Phys Rev. C 81 044304), the same situation was solved for β-wavefunctions with up to one node (M = 0, 1), which are relevant for the first few low-lying states. Here, the model space is enlarged by including β-wavefunctions also with two nodes (M = 2), which generate many more states, in order to make it useful for actual fittings and more detailed checking of shape phase transitions between spherical and γ-unstable β-deformed shapes in nuclei. In addition to the energy eigenvalues and wavefunctions, closed analytical formulas are obtained for electric quadrupole and monopole transition probabilities too. The model is applied to the chains of even Ru and Pd isotopes to illustrate the transition between the spherical and deformed γ-unstable phases. These applications indicate that the optional extension of the model with a phenomenologic rotational term L ⋅ L is consistent with the experimental data.
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/11441/153110
https://doi.org/10.1088/1361-6471/abcdf6
url https://hdl.handle.net/11441/153110
https://doi.org/10.1088/1361-6471/abcdf6
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Physics G: Nuclear and Particle Physics, 48 (8), 085102.
K112962
PID2019-104002GB-C22
https://doi.org/10.1088/1361-6471/abcdf6
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Institute of Physics Publishing
publisher.none.fl_str_mv Institute of Physics Publishing
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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