Spontaneous fission half-lives of heavy and superheavy nuclei within a generalized liquid drop model

Abstract

We systematically calculate the spontaneous fission half-lives for heavy and superheavy nuclei between U and Fl isotopes. The spontaneous fission process is studied within the semi-empirical WKB approximation. The potential barrier is obtained using a generalized liquid drop model, taking into account the nuclear proximity, the mass asymmetry, the phenomenological pairing correction, and the microscopic shell correction. Macroscopic inertial-mass function has been employed for the calculation of the fission half-life. The results reproduce rather well the experimental data. Relatively long half-lives are predicted for many unknown nuclei, sufficient to detect them if synthesized in a laboratory.

20 pages, 5 figures, 2 tables, accepted version by Nucl. Phys. A

References in corpus (6)

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• Mirror nuclei constraint in mass formula
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Cited by in corpus (2)

• Spontaneous fission of superheavy nucleus ${}^{286}$Fl
• Fission decay of ${}^{282}$Cn studied using cranking inertia