Perturbative Approach to Effective Shell-Model Hamiltonians and Operators
This article presents an overview of the derivation of effective shell-model Hamiltonian and decay operators within the framework of many-body perturbation theory, and discusses the results of selected shell-model studies based on these operators. More precisely, we give technical details that non-e...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2020-10-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/article/10.3389/fphy.2020.00345/full |
| _version_ | 1818498657225277440 |
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| author | Luigi Coraggio Nunzio Itaco Nunzio Itaco |
| author_facet | Luigi Coraggio Nunzio Itaco Nunzio Itaco |
| author_sort | Luigi Coraggio |
| collection | DOAJ |
| description | This article presents an overview of the derivation of effective shell-model Hamiltonian and decay operators within the framework of many-body perturbation theory, and discusses the results of selected shell-model studies based on these operators. More precisely, we give technical details that non-experts will need in order to derive shell-model Hamiltonians and operators starting from realistic nuclear potentials, and provide some guidance for shell-model calculations where the single-particle energies, two-body matrix elements of the residual interaction, effective charges, and decay matrix elements are all obtained without resorting to empirical adjustments. We report results of studies of double-β decay of heavy-mass nuclei where the shell-model ingredients are derived from theory, so as to assess the reliability of such an approach to shell-model investigations. Attention will be also focused on aspects relating to the behavior of the perturbative expansion, knowledge of which is needed for establishing limits and applying this approach to nuclear structure calculations. |
| first_indexed | 2024-12-10T20:18:33Z |
| format | Article |
| id | doaj.art-911bbe6937a845b8bf9b753294d91727 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-12-10T20:18:33Z |
| publishDate | 2020-10-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-911bbe6937a845b8bf9b753294d917272022-12-22T01:35:07ZengFrontiers Media S.A.Frontiers in Physics2296-424X2020-10-01810.3389/fphy.2020.00345562555Perturbative Approach to Effective Shell-Model Hamiltonians and OperatorsLuigi Coraggio0Nunzio Itaco1Nunzio Itaco2Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Naples, ItalyIstituto Nazionale di Fisica Nucleare, Sezione di Napoli, Naples, ItalyDipartimento di Matematica e Fisica, Università degli Studi della Campania “Luigi Vanvitelli”, Caserta, ItalyThis article presents an overview of the derivation of effective shell-model Hamiltonian and decay operators within the framework of many-body perturbation theory, and discusses the results of selected shell-model studies based on these operators. More precisely, we give technical details that non-experts will need in order to derive shell-model Hamiltonians and operators starting from realistic nuclear potentials, and provide some guidance for shell-model calculations where the single-particle energies, two-body matrix elements of the residual interaction, effective charges, and decay matrix elements are all obtained without resorting to empirical adjustments. We report results of studies of double-β decay of heavy-mass nuclei where the shell-model ingredients are derived from theory, so as to assess the reliability of such an approach to shell-model investigations. Attention will be also focused on aspects relating to the behavior of the perturbative expansion, knowledge of which is needed for establishing limits and applying this approach to nuclear structure calculations.https://www.frontiersin.org/article/10.3389/fphy.2020.00345/fullnuclear shell modeleffective interactionsmany-body perturbation theorynuclear forcesdouble-beta decay |
| spellingShingle | Luigi Coraggio Nunzio Itaco Nunzio Itaco Perturbative Approach to Effective Shell-Model Hamiltonians and Operators Frontiers in Physics nuclear shell model effective interactions many-body perturbation theory nuclear forces double-beta decay |
| title | Perturbative Approach to Effective Shell-Model Hamiltonians and Operators |
| title_full | Perturbative Approach to Effective Shell-Model Hamiltonians and Operators |
| title_fullStr | Perturbative Approach to Effective Shell-Model Hamiltonians and Operators |
| title_full_unstemmed | Perturbative Approach to Effective Shell-Model Hamiltonians and Operators |
| title_short | Perturbative Approach to Effective Shell-Model Hamiltonians and Operators |
| title_sort | perturbative approach to effective shell model hamiltonians and operators |
| topic | nuclear shell model effective interactions many-body perturbation theory nuclear forces double-beta decay |
| url | https://www.frontiersin.org/article/10.3389/fphy.2020.00345/full |
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