Shape Phase Transitions in Even–Even <sup>176–198</sup>Pt: Higher-Order Interactions in the Interacting Boson Model
Dynamical symmetry plays a dominant role in the interacting boson model in elucidating nuclear structure, for which group theoretical or algebraic techniques are powerful. In this work, the higher-order interactions required in describing triaxial deformation in the interacting boson model are intro...
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MDPI AG
2022-12-01
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Series: | Symmetry |
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Online Access: | https://www.mdpi.com/2073-8994/14/12/2610 |
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author | Dongkang Li Tao Wang Feng Pan |
author_facet | Dongkang Li Tao Wang Feng Pan |
author_sort | Dongkang Li |
collection | DOAJ |
description | Dynamical symmetry plays a dominant role in the interacting boson model in elucidating nuclear structure, for which group theoretical or algebraic techniques are powerful. In this work, the higher-order interactions required in describing triaxial deformation in the interacting boson model are introduced to improve the fitting results to low-lying level energies, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>B</mi><mo stretchy="false">(</mo><mi>E</mi><mn>2</mn><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> values and electric quadrupole moments of even–even nuclei. As an example of the model application, the low-lying excitation spectra and the electromagnetic transitional properties of even–even <sup>176−198</sup>Pt are fitted and compared to the experimental data and the results of the consistent-Q formalism. It is shown that the results obtained from the model are better than those of the original consistent-Q formalism, indicating the importance of the higher-order interactions in describing the structure and the shape phase evolution of these nuclei. |
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language | English |
last_indexed | 2024-03-09T15:47:38Z |
publishDate | 2022-12-01 |
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series | Symmetry |
spelling | doaj.art-571a5c28e90146f49dba632c31c8a2cc2023-11-24T18:20:08ZengMDPI AGSymmetry2073-89942022-12-011412261010.3390/sym14122610Shape Phase Transitions in Even–Even <sup>176–198</sup>Pt: Higher-Order Interactions in the Interacting Boson ModelDongkang Li0Tao Wang1Feng Pan2College of Physics, Tonghua Normal University, Tonghua 134000, ChinaCollege of Physics, Tonghua Normal University, Tonghua 134000, ChinaDepartment of Physics, Liaoning Normal University, Dalian 116029, ChinaDynamical symmetry plays a dominant role in the interacting boson model in elucidating nuclear structure, for which group theoretical or algebraic techniques are powerful. In this work, the higher-order interactions required in describing triaxial deformation in the interacting boson model are introduced to improve the fitting results to low-lying level energies, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>B</mi><mo stretchy="false">(</mo><mi>E</mi><mn>2</mn><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> values and electric quadrupole moments of even–even nuclei. As an example of the model application, the low-lying excitation spectra and the electromagnetic transitional properties of even–even <sup>176−198</sup>Pt are fitted and compared to the experimental data and the results of the consistent-Q formalism. It is shown that the results obtained from the model are better than those of the original consistent-Q formalism, indicating the importance of the higher-order interactions in describing the structure and the shape phase evolution of these nuclei.https://www.mdpi.com/2073-8994/14/12/2610shape phase transitionhigher-order interactionsthe interacting boson modelPt isotopes |
spellingShingle | Dongkang Li Tao Wang Feng Pan Shape Phase Transitions in Even–Even <sup>176–198</sup>Pt: Higher-Order Interactions in the Interacting Boson Model Symmetry shape phase transition higher-order interactions the interacting boson model Pt isotopes |
title | Shape Phase Transitions in Even–Even <sup>176–198</sup>Pt: Higher-Order Interactions in the Interacting Boson Model |
title_full | Shape Phase Transitions in Even–Even <sup>176–198</sup>Pt: Higher-Order Interactions in the Interacting Boson Model |
title_fullStr | Shape Phase Transitions in Even–Even <sup>176–198</sup>Pt: Higher-Order Interactions in the Interacting Boson Model |
title_full_unstemmed | Shape Phase Transitions in Even–Even <sup>176–198</sup>Pt: Higher-Order Interactions in the Interacting Boson Model |
title_short | Shape Phase Transitions in Even–Even <sup>176–198</sup>Pt: Higher-Order Interactions in the Interacting Boson Model |
title_sort | shape phase transitions in even even sup 176 198 sup pt higher order interactions in the interacting boson model |
topic | shape phase transition higher-order interactions the interacting boson model Pt isotopes |
url | https://www.mdpi.com/2073-8994/14/12/2610 |
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