Spontaneous-fission half-lives for even nuclei with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Z</mml:mi><mml:mo>≥</mml:mo><mml:mn>92</mml:mn></mml:math>
Аннотация
The spontaneous-fission process for doubly even nuclei with $Z\ensuremath{\ge}92$ is studied in a semi-empirical WKB framework. One-dimensional fission barrier potentials are established from theoretical deformation-energy surfaces based on the droplet model and the modified-oscillator model. The effects of axial asymmetry as well as reflection asymmetry have been taken into account. Macroscopic (irrotational flow) inertial-mass functions and alternatively microscopic (cranking model) intertial mass parameters have been employed for the calculation of the fission half-lives. With one over-all normalization parameter it is possible to fit the experimental half-lives to within a factor of 20 on the average. The resulting effective inertial-mass functions are used to estimate the stability of the transactinide elements. Only minor differences with previous estimates for the $\mathfrak{r}$ process and superheavy nuclei are encountered.NUCLEAR STRUCTURE Even nuclei with $Z\ensuremath{\ge}92$; calculated sf ${T}_{\frac{1}{2}}$.
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