Relation between E2 transitions in even–even and odd-mass nuclei

How is the B (E2; 2 + 1 → 0 + 1 ) value in an even-even nucleus related to corresponding B (E2; J i → J f ) values in a neighbouring odd-mass nucleus? If either neutrons or protons are confined to a single- j orbital and if the nucleon-nucleon interaction conserves seniority, a simple relation between the two properties is obtained, which may differ from what is found in the weak-coupling limit of the core-particle model. This single- j relation is substantially perturbed if several non-degenerate orbitals are considered. An application to recently measured B (E2) values in neutron-deficient tin isotopes is presented.

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Publication Details

Journal
EPJ Web of Conferences
Published
2025-01-01
DOI
https://doi.org/10.1051/epjconf/202532902007
Primary Topic
Nuclear physics research studies
Type
article
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article

Relation between E2 transitions in even–even and odd-mass nuclei

P. Van Isacker
EPJ Web of Conferences
Nuclear physics research studies
article

Relation between E2 transitions in even–even and odd-mass nuclei

P. Van Isacker
article en

Abstract

How is the B (E2; 2 + 1 → 0 + 1 ) value in an even-even nucleus related to corresponding B (E2; J i → J f ) values in a neighbouring odd-mass nucleus? If either neutrons or protons are confined to a single- j orbital and if the nucleon-nucleon interaction conserves seniority, a simple relation between the two properties is obtained, which may differ from what is found in the weak-coupling limit of the core-particle model. This single- j relation is substantially perturbed if several non-degenerate orbitals are considered. An application to recently measured B (E2) values in neutron-deficient tin isotopes is presented.

EPJ Web of ConferencesVol. 329
Centre National de la Recherche Scientifique (FR), Commissariat à l'Énergie Atomique et aux Énergies Alternatives (FR), Grand Accélérateur National d'Ions Lourds (FR)
Openalex Percentile: Top 93%
Nuclear physics research studies
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