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Quadrupole dominance in light Cd and Sn isotopes

2019/05/27 by A. P. Zuker, Zuker, A. P.
Physics and Astronomy · #FOS: Physical sciences #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th) #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1905.11479

openalex publication_date 2019/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Shell model calculations with the neutron effective charge as single free parameter describe well the \bet and \bef rates for N≤ 64 in the Cd and Sn isotopes. The former exhibit weak permanent deformation corroborating the prediction of a pseudo SU3 symmetry, which remains of heuristic value in the latter, though the pairing force erodes the quadrupole dominance. Calculations in 107 and 1010-dimensional spaces exhibit almost identical patterns: A vindication of the shell model. For N≥ 64 quadrupole dominance is accentuated in the Cd isotopes and gives way to seniority dominance for the Sn isotopes.

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