We confirm by using the Skyrme Hartree-Fock-Bogoliubov calculation that $ { }^{ 164} \mathrm{ Pb} $ is a possible heaviest $ N = Z $ doubly magic nucleus whose lifetime is long enough to be measured on accelerator experiments. We estimate the proton-emission and alpha-decay half-lives of $ { }^{ 164} \mathrm{ Pb} $. The estimated proton-emission half-life ranges from $ 0.1 \, \mathrm{ ps} $ to $ 10 \, \mathrm{ ns} $, while the alpha decay can be safely neglected.
Categories: nucl-th nucl-ex