To Shell Model, or Not to Shell Model, That Is the Question
The present review takes steps from the domain of the shell model into open shell nuclei. The question posed in the title is to dramatize how far shell model approaches, i.e., many nucleons occupying independent-particle configurations and interacting through two-body forces (a configuration interac...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-06-01
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| Series: | Physics |
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| Online Access: | https://www.mdpi.com/2624-8174/4/3/48 |
| _version_ | 1797483451599814656 |
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| author | Andrew E. Stuchbery John L. Wood |
| author_facet | Andrew E. Stuchbery John L. Wood |
| author_sort | Andrew E. Stuchbery |
| collection | DOAJ |
| description | The present review takes steps from the domain of the shell model into open shell nuclei. The question posed in the title is to dramatize how far shell model approaches, i.e., many nucleons occupying independent-particle configurations and interacting through two-body forces (a configuration interaction problem) can provide a description of nuclei as one explores the structure observed where neither proton nor neutron numbers match closed shells. Features of doubly closed and singly closed shell nuclei and adjacent nuclei are sketched, together with the roles played by seniority, shape coexistence, triaxial shapes and particle–core coupling in organizing data. An illuminating step is taken here to provide a detailed study the reduced transition rates, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>B</mi><mo>(</mo><mi>E</mi><mn>2</mn><mo>;</mo><msubsup><mn>2</mn><mn>1</mn><mo>+</mo></msubsup><mo>→</mo><msubsup><mn>0</mn><mn>1</mn><mo>+</mo></msubsup></mrow></semantics></math></inline-formula>), in the singly closed shell nuclei with doubly closed shell plus or minus a pair of identical nucleons, and the confrontation between such data and state-of-the-art shell model calculations: this amounts to a review of the effective charge problem. The results raise many questions and point to the need for much further work. Some guidance on criteria for sharpening the division between the domain of the shell model and that of deformation-based descriptions of nuclei are provided. The paper is closed with a sketch of a promising direction in terms of the algebraic structure embodied in the symplectic shell model. |
| first_indexed | 2024-03-09T22:48:11Z |
| format | Article |
| id | doaj.art-25da493a228b4c33837974655edeb587 |
| institution | Directory Open Access Journal |
| issn | 2624-8174 |
| language | English |
| last_indexed | 2024-03-09T22:48:11Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Physics |
| spelling | doaj.art-25da493a228b4c33837974655edeb5872023-11-23T18:25:27ZengMDPI AGPhysics2624-81742022-06-014369777310.3390/physics4030048To Shell Model, or Not to Shell Model, That Is the QuestionAndrew E. Stuchbery0John L. Wood1Department of Nuclear Physics and Accelerator Applications, Research School of Physics, The Australian National University, Canberra, ACT 2600, AustraliaSchool of Physics, Georgia Institute of Technology, Atlanta, GA 30332, USAThe present review takes steps from the domain of the shell model into open shell nuclei. The question posed in the title is to dramatize how far shell model approaches, i.e., many nucleons occupying independent-particle configurations and interacting through two-body forces (a configuration interaction problem) can provide a description of nuclei as one explores the structure observed where neither proton nor neutron numbers match closed shells. Features of doubly closed and singly closed shell nuclei and adjacent nuclei are sketched, together with the roles played by seniority, shape coexistence, triaxial shapes and particle–core coupling in organizing data. An illuminating step is taken here to provide a detailed study the reduced transition rates, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>B</mi><mo>(</mo><mi>E</mi><mn>2</mn><mo>;</mo><msubsup><mn>2</mn><mn>1</mn><mo>+</mo></msubsup><mo>→</mo><msubsup><mn>0</mn><mn>1</mn><mo>+</mo></msubsup></mrow></semantics></math></inline-formula>), in the singly closed shell nuclei with doubly closed shell plus or minus a pair of identical nucleons, and the confrontation between such data and state-of-the-art shell model calculations: this amounts to a review of the effective charge problem. The results raise many questions and point to the need for much further work. Some guidance on criteria for sharpening the division between the domain of the shell model and that of deformation-based descriptions of nuclei are provided. The paper is closed with a sketch of a promising direction in terms of the algebraic structure embodied in the symplectic shell model.https://www.mdpi.com/2624-8174/4/3/48nuclear structureshell modelseniorityshape coexistenceeffective chargeemergent structure |
| spellingShingle | Andrew E. Stuchbery John L. Wood To Shell Model, or Not to Shell Model, That Is the Question Physics nuclear structure shell model seniority shape coexistence effective charge emergent structure |
| title | To Shell Model, or Not to Shell Model, That Is the Question |
| title_full | To Shell Model, or Not to Shell Model, That Is the Question |
| title_fullStr | To Shell Model, or Not to Shell Model, That Is the Question |
| title_full_unstemmed | To Shell Model, or Not to Shell Model, That Is the Question |
| title_short | To Shell Model, or Not to Shell Model, That Is the Question |
| title_sort | to shell model or not to shell model that is the question |
| topic | nuclear structure shell model seniority shape coexistence effective charge emergent structure |
| url | https://www.mdpi.com/2624-8174/4/3/48 |
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