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arXiv · 1905.11479

Quadrupole dominance in light Cd and Sn isotopes

A. P. Zuker
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Abstract

Shell model calculations with the neutron effective charge as single free parameter describe well the \bet and \bef rates for $N\le 64$ 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 $10^7$ and $10^{10}$-dimensional spaces exhibit almost identical patterns: A vindication of the shell model. For $N\ge 64$ quadrupole dominance is accentuated in the Cd isotopes and gives way to seniority dominance for the Sn isotopes.

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A. P. Zuker. 2019-05-27. Quadrupole dominance in light Cd and Sn isotopes. https://arxiv.org/abs/1905.11479

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