Abstract
The fourth order perturbation calculations have been carried out in order to determine the stability of the pear-shaped deformations using the deformation potential of Lee and Inglis and the harmonic oscillator representation without spin-orbit coupling. The resulting perturbation energy g 4 is proved to be negative for the sample nuclei considered, thus making it possible to compete with the second order energy which is positive. The value of pear-shapedness parameter g( h ̵ /Mω 0) 1 2 for which the sign of the total perturbation energy turns negative is approximately 0.15 for heavy nuclei while it is approximately 0.5 for light nuclei, thus suggesting that such deformations may be stable in heavy nuclei only. The contributions from the terms in g 6 and of higher order are also estimated and expected to be small.
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