Abstract
Abstract We have calculated potential-energy surfaces for cylindrically symmetric quadrupole ( a 20 ) plus cylindrically symmetric octupole ( a 30 ) deformations for superheavy nuclei, in the regions of relative stability against spontaneous fission. Using perturbation theory we have then calculated the stiffness and mass parameters of these nuclei for all octupole ( a 3 m ) modes of deformation as a function of a 20 . We find that oblately quadrupole deformed nuclei are very unstable against the a 33 mode of deformation. The importance of this for ternary fission is discussed. The influence of the variation in the zero-point energy of octupole vibrations on the prolate fission barrier is also considered.
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