Dependence of the fission half-lives of heavy nuclei on the highest proton magic number within a macro-microscopic approach

The potential barriers in the cold fission valley were determined within the original generalized liquid drop model, which takes into account the proximity energy, the charge and mass asymmetries, the microscopic shell and pairing corrections, and quasimolecular one- and two-body shapes. Due to microscopic effects and the proximity energy, double-humped fission barriers appear. The calculations were done within four hypotheses for the heaviest proton magic number: 114, 116, 118, and 120. The calculated partial or total fission half-lives of actinides and superheavy nuclei follow roughly the trend of the experimental data, the agreement being better for $Z=118$.