Abstract

Spontaneous-fission half-lives of even-even heavy nuclei ( Z = 92–110) are calculated without any adjustable parameters. The fission-barrier penetration is treated as a one-dimensional problem in multidimensional deformation space. Deformations of multipolarities 2, 3, 4, 5 and 6 (describing elongated, necked and reflection asymmetric shapes of a nucle'us) are considered. The potential energy is calculated by the macroscopic-microscopic method and the inertia tensor by the cranking method. The action integral is minimized by variational procedures. The barrier heights are reproduced with an accuracy better than 1.5 MeV and the half-lives to within a factor of about 50, on the average.

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