Surface structure and sensitivity hierarchy in -decay tunneling: A study of even-even heavy and superheavy nuclei
Phys. Rev. C 113, 064612 – Published 15 June, 2026
DOI: https://doi.org/10.1103/nty7-gh72
Abstract
Background: Alpha decay is a key decay mode for determining the stability and experimental identification of heavy and superheavy nuclei. Within the Wentzel–Kramers–Brillouin tunneling framework , the half-life depends exponentially on the effective barrier and is therefore highly sensitive to the decay energy and to the -daughter interaction. Although the dominant role of is well established, the relative importance of surface-structure effects—including the neutron-skin change between parent and daughter nuclei, the isospin asymmetry , and the short-range repulsion described by the diffuseness parameter —has not been compared within a common normalized framework. This makes it difficult to rank the mechanisms that control decay in heavy and superheavy even-even nuclei.
Purpose: We quantify how the decay energy and the neutron-skin change affect the occurrence of decay in even-even nuclei with . By combining correlation analysis with a normalized sensitivity study of , we compare the relative effects of , , , and on the decay process.
Methods: We systematically survey even-even nuclei in the region , where is computed self-consistently within two independent microscopic frameworks: the Hartree–Fock–Bogoliubov approach in the transformed harmonic-oscillator basis (HFB-THO) and the Hartree–Fock–BCS (HF-BCS) model. To compare the effects of the quantities entering the barrier penetration problem, we introduce a globally normalized linear sensitivity measure for . For the first time, the short-range repulsive core diffuseness parameter in the double-folding (DF) potential is analyzed on the same normalized footing as , , and the isospin asymmetry.
Results: A systematic analysis in the region shows that the occurrence of decay is strongly correlated with the behavior of . Nuclei with observed decay clusters within a narrow interval , whereas nondecaying systems often show local deviations from this interval, even when is positive or relatively large. Strong variations of appear near deformed neutron shells () and toward the predicted near-spherical configurations around and , where decay becomes dominant. The normalized sensitivity analysis of shows that, beyond the leading role of , the quantities and can make contributions of comparable size in selected nuclear regions. By contrast, local isospin-surface effects mainly provide secondary corrections because varies only within a limited range among -emitting nuclei. These findings show how decay energy, barrier geometry, and nuclear structure jointly affect the -tunneling probability.
Conclusions: The results show that decay in heavy and superheavy nuclei is not controlled solely by , but is also affected by surface structure and short-range interactions. The quantity is a sensitive indicator of the structural match between parent and daughter nuclei, and its deviations reflect deeper structural changes such as shell effects or shape transitions rather than acting as a direct control parameter. The relatively high sensitivity of highlights the role of short-range repulsion and Pauli blocking in shaping the inner part of the Coulomb barrier. This suggests that improved microscopic treatments of the repulsive core may be important for describing decay in superheavy systems. The present framework provides a quantitative way to assess surface-structure effects across the superheavy region.