Renormalization of the Gamow-Teller operator within the realistic shell model Article Swipe
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· 2019
· Open Access
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· DOI: https://doi.org/10.1103/physrevc.100.014316
In nuclear structure calculations, the choice of a limited model space, due to computational needs, leads to the necessity to renormalize the Hamiltonian as well as any transition operator. Here, we present a study of the renormalization procedure and effects of the Gamow-Teller operator within the framework of the realistic shell model. Our effective shell-model operators are obtained, starting from a realistic nucleon-nucleon potential, by way of the many-body perturbation theory in order to take into account the degrees of freedom that are not explicitly included in the chosen model space. The theoretical effective shell-model Hamiltonian and transition operators are then employed in shell-model calculations, whose results are compared with data of Gamow-Teller transition strengths and double-beta half-lives for nuclei which are currently of interest for the detection of the neutrinoless double-beta decay process, in a mass interval ranging from A=48 up to A=136. We show that effective operators are able to reproduce quantitatively the spectroscopic and decay properties without resorting to an empirical quenching neither of the axial coupling constant gA, nor of the spin and orbital gyromagnetic factors. This should assess the reliability of applying present theoretical tools to this problematic.
Related Topics
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/physrevc.100.014316
- OA Status
- green
- Cited By
- 52
- References
- 76
- Related Works
- 10
- OpenAlex ID
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Raw OpenAlex JSON
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https://openalex.org/W2905354827Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1103/physrevc.100.014316Digital Object Identifier
- Title
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Renormalization of the Gamow-Teller operator within the realistic shell modelWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2019Year of publication
- Publication date
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2019-07-23Full publication date if available
- Authors
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L. Coraggio, Luca De Angelis, Tokuro Fukui, A. Gargano, N. Itaco, F. NowackiList of authors in order
- Landing page
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https://doi.org/10.1103/physrevc.100.014316Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/1812.04292Direct OA link when available
- Concepts
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Physics, Renormalization, Hamiltonian (control theory), Coupling constant, Nucleon, SHELL model, Renormalization group, Operator (biology), Asymptotic freedom, Double beta decay, Quantum mechanics, Statistical physics, Particle physics, Quark, Atomic physics, Mathematics, Chemistry, Mathematical optimization, Transcription factor, Repressor, Neutrino, Biochemistry, GeneTop concepts (fields/topics) attached by OpenAlex
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52Total citation count in OpenAlex
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2025: 4, 2024: 11, 2023: 9, 2022: 12, 2021: 4Per-year citation counts (last 5 years)
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76Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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