Nucleon-Pair Shell Model within a Symmetry Broken Basis

The nucleon-pair shell model (NPSM) within the framework of a broken symmetry basis is studied. The results demonstrate the validity of such a scheme, which in turn leads to a significant reduction in the dimensionality of the multi-pair configuration space. Specifically, in the case of an axially-d...

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Main Authors: Bingcheng He, Siyao Zhang, Yu Zhang, Lei Li, Yanan Luo, Feng Pan, Jerry P. Draayer
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/9/1653
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author Bingcheng He
Siyao Zhang
Yu Zhang
Lei Li
Yanan Luo
Feng Pan
Jerry P. Draayer
author_facet Bingcheng He
Siyao Zhang
Yu Zhang
Lei Li
Yanan Luo
Feng Pan
Jerry P. Draayer
author_sort Bingcheng He
collection DOAJ
description The nucleon-pair shell model (NPSM) within the framework of a broken symmetry basis is studied. The results demonstrate the validity of such a scheme, which in turn leads to a significant reduction in the dimensionality of the multi-pair configuration space. Specifically, in the case of an axially-deformed basis, the results yield a satisfactory description of the low-lying spectrum, even without the need for applying the projection procedure. In the case of a triaxially-deformed basis, the result of variation after angular momentum projection suggest a potential for using the NPSM to find exact solutions in a semi-magic system.
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spelling doaj.art-1979dd81704643e98efd6215ae5e34d22023-11-19T13:10:46ZengMDPI AGSymmetry2073-89942023-08-01159165310.3390/sym15091653Nucleon-Pair Shell Model within a Symmetry Broken BasisBingcheng He0Siyao Zhang1Yu Zhang2Lei Li3Yanan Luo4Feng Pan5Jerry P. Draayer6Physics Division, Argonne National Laboratory, Lemont, IL 60439, USASchool of Physics, Nankai University, Tianjin 300071, ChinaDepartment of Physics, Liaoning Normal University, Dalian 116029, ChinaSchool of Physics, Nankai University, Tianjin 300071, ChinaSchool of Physics, Nankai University, Tianjin 300071, ChinaDepartment of Physics, Liaoning Normal University, Dalian 116029, ChinaDepartment of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USAThe nucleon-pair shell model (NPSM) within the framework of a broken symmetry basis is studied. The results demonstrate the validity of such a scheme, which in turn leads to a significant reduction in the dimensionality of the multi-pair configuration space. Specifically, in the case of an axially-deformed basis, the results yield a satisfactory description of the low-lying spectrum, even without the need for applying the projection procedure. In the case of a triaxially-deformed basis, the result of variation after angular momentum projection suggest a potential for using the NPSM to find exact solutions in a semi-magic system.https://www.mdpi.com/2073-8994/15/9/1653shell modelsymmetry restorenucleon-pair shell model
spellingShingle Bingcheng He
Siyao Zhang
Yu Zhang
Lei Li
Yanan Luo
Feng Pan
Jerry P. Draayer
Nucleon-Pair Shell Model within a Symmetry Broken Basis
Symmetry
shell model
symmetry restore
nucleon-pair shell model
title Nucleon-Pair Shell Model within a Symmetry Broken Basis
title_full Nucleon-Pair Shell Model within a Symmetry Broken Basis
title_fullStr Nucleon-Pair Shell Model within a Symmetry Broken Basis
title_full_unstemmed Nucleon-Pair Shell Model within a Symmetry Broken Basis
title_short Nucleon-Pair Shell Model within a Symmetry Broken Basis
title_sort nucleon pair shell model within a symmetry broken basis
topic shell model
symmetry restore
nucleon-pair shell model
url https://www.mdpi.com/2073-8994/15/9/1653
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