We performed a systematic analysis of ground-state properties for isotones of neutron shell closures. Using the Hartree-Fock-Bogoliubov theory with different energy density Skyrme functionals, we calculated structure properties, obtaining consistent agreement with available experimental data. The density-dependent cluster model with folding potential, considering nuclear deformations, is used to predict $\alpha$-decay half-lives for isotones leading to $N=184$ daughter nuclei. A clear, shell-driven pattern is evident in the evolving properties of isotones, established by data for $N=50$, 82, and 126, and extending to theoretical estimates for the unobserved $N=184$ isotones. While the binding energy weakens and peaks at higher isospin asymmetry for heavier neutron shell closures, two-proton and two-neutron separation energies follow distinct linear trends dictated by the shell structure. Furthermore, charge radii evolve systematically, with neutron-skin thickness increasing with isospin-asymmetry but decreasing in magnitude for heavier shells. The shell-driven recurrent patterns of $\alpha$-decay energy and half-life demonstrate a clear dependence on the number of protons outside a closed proton shell core. The consistent patterns observed in this study indicate that the most promising region for synthesizing $N=184$ isotones lies between $Z=112$ and $Z=120$. A key challenge for lower-$Z$ candidates in this range is their higher isospin asymmetry, which contradicts the trend of a narrowing stability window for heavier nuclei.

Close

PrevNext

View figure in article

• Alpha decay
• Lifetimes & widths
• Neutron skin thickness
• Nuclear structure & decays
• Nuclear density functional theory