${}^{164}\mathrm{Pb}$: A possible heaviest $N=Z$ doubly magic nucleus

Abstract

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.

9 pages, 8 figures, 3 tables