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    Surface structure and sensitivity hierarchy in α-decay tunneling: A study of even-even heavy and superheavy nuclei

    N. Nhu Le*

    N. Ngoc Duy

    C. N. Phuoc Tai

    • Faculty of Information Technology-Digital Economy, Hue Industrial College, 70 Nguyen Hue Street, Hue City 530000, Vietnam

    • *Contact author: nguyennhule@hueuni.edu.vn

    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 (PWKB), the half-life depends exponentially on the effective barrier and is therefore highly sensitive to the decay energy (Qα) and to the α-daughter interaction. Although the dominant role of Qα is well established, the relative importance of surface-structure effects—including the neutron-skin change δnα between parent and daughter nuclei, the isospin asymmetry δ, and the short-range repulsion described by the diffuseness parameter arep—has not been compared within a common normalized framework. This makes it difficult to rank the mechanisms that control α decay in heavy and superheavy even-even nuclei.

    Purpose: We quantify how the decay energy Qα and the neutron-skin change δnα affect the occurrence of α decay in even-even nuclei with 94≤Z≤118. By combining correlation analysis with a normalized sensitivity study of log10PWKB, we compare the relative effects of Qα, δnα, δ, and arep on the decay process.

    Methods: We systematically survey even-even nuclei in the region 94≤Z≤118, where δnα 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 log10PWKB. For the first time, the short-range repulsive core diffuseness parameter arep in the double-folding (DF) potential is analyzed on the same normalized footing as Qα, δnα, and the isospin asymmetry.

    Results: A systematic analysis in the region 94≤Z≤118 shows that the occurrence of α decay is strongly correlated with the behavior of δnα. Nuclei with observed α decay clusters within a narrow interval δnα≈0.006–0.008fm, whereas nondecaying systems often show local deviations from this interval, even when Qα is positive or relatively large. Strong variations of δnα appear near deformed neutron shells (N≈140toN≈150) and toward the predicted near-spherical configurations around N≈172 and N≈184, where α decay becomes dominant. The normalized sensitivity analysis of log10PWKB shows that, beyond the leading role of Qα, the quantities δ and arep can make contributions of comparable size in selected nuclear regions. By contrast, local isospin-surface effects mainly provide secondary corrections because δnα varies only within a limited range among α-emitting nuclei. These findings show how decay energy, barrier geometry, and nuclear structure jointly affect the α-tunneling probability.

    Conclusions: The results show that α decay in heavy and superheavy nuclei is not controlled solely by Qα, but is also affected by surface structure and short-range interactions. The quantity δnα 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 arep 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 α decay in superheavy systems. The present framework provides a quantitative way to assess surface-structure effects across the superheavy region.

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