Enhancement of $B(E2)$ and low excitation of the second 0${}^{+}$ state near N=40 in Ge isotopes

Abstract

The long-standing problem of dramatic structure change near N=40 in Ge isotopes is investigated by means of large-scale shell model calculation. The analysis of simulated calculations suggests a possible understanding of the problem in terms of rapid increase in the $g_{9/2}$ proton and neutron occupation. The observed variation in excitation of the second $0^{+}$ state in ${}^{70,72,74}$Ge appears to correlate closely with the $g_{9/2}$ occupations induced by strong proton-neutron interactions. The enhancement of the $g_{9/2}$ occupancies is probably due to correlations in the $1g2d3s$ shell.

arXiv comment11 pages, 5 figures, accepted for publication in Nuclear Physics A

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• A Comparison of Shell Model Results for Some properties of the Even-Even Ge Isotopes