Octupole Vibrations in the Harmonic-Oscillator-Potential Model with Axis Ratio Two to One

Abstract
Properties of the RPA solutions for the octupole vibrations (with K = 0, 1, 2, 3) in the prolate harmonic-oscillator-potential model with the frequency ratio 2:2:1 are investigated. Special attention is directed to their dependence on the K-quantum number and on the shell-quantum number Nsh (characterizing the 2:1 shell structure). This analysis suggests that strongly collective, soft K = 1 octupole vibrations exist in open-shell superdeformed configurations, and that they strongly couple with the quasiparticle modes in odd-A nuclei.

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