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

TL;DR

This study predicts that $^{164}$Pb could be the heaviest doubly magic nucleus with equal numbers of protons and neutrons, having a measurable lifetime suitable for experimental detection.

Contribution

The paper confirms through Skyrme Hartree-Fock-Bogoliubov calculations that $^{164}$Pb is a potential doubly magic nucleus with a measurable lifetime, expanding the understanding of nuclear stability at high mass numbers.

Findings

$^{164}$Pb is a possible doubly magic nucleus.

Proton-emission half-life estimated between 0.1 ps and 10 ns.

Alpha decay of $^{164}$Pb is negligible.

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.