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arxiv: 2606.03525 · v1 · pith:OS3MMZCInew · submitted 2026-06-02 · ⚛️ nucl-th

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

classification ⚛️ nucl-th
keywords relationnucleusodd-masssingle-jvaluesapplicationconfinedconserves
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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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