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    Dynamical selection of fragment shell effects in spontaneous fission of Pu240, Th232, and Fm264

    Qiafeng Chen1, Fuchang Gu1, Yingge Huang1, Erxi Xiao1, Yinu Zhang1,*, and Jun Su1,2,†

    • *Contact author: zhangyn226@mail.sysu.edu.cn
    • †Contact author: sujun3@mail.sysu.edu.cn

    Phys. Rev. C 114, 024329 – Published 17 August, 2026

    DOI: https://doi.org/10.1103/l2dq-9spg

    Abstract

    Background: Fragment shell effects are central to the formation of spontaneous-fission (SF) mass yields. However, it remains unclear which configurations favored by fragment shell effects are dynamically selected and ultimately appear as peaks in the SF yields.

    Purpose: To clarify, by comparing Pu240, Th232, and Fm264, how the potential-energy surface (PES) topology and the fission dynamics in the classically allowed region select the scission configurations in which fragment shell stabilization is reflected in the SF yield peaks.

    Method: A two-step microscopic framework is employed. The PES and collective inertia are obtained from constrained Hartree–Fock–Bogoliubov calculations. The first step, from the inner to the outer turning points, is treated within the Wentzel–Kramers–Brillouin approximation along the least-action path. The second step, from the outer turning points to scission in the classically allowed region, is described by Langevin dynamics. Fragment shell effects are analyzed through fragment PES and smoothed level density indicators evaluated for representative even-even fragment pairs selected from the Langevin scission configurations.

    Results: The calculated yields display a two-component asymmetric pattern in Pu240, a less distinctly separated asymmetric pattern in Th232, and a symmetric peak in Fm264. The fragment shell analysis shows that the larger yield components coincide with a coherent overlap among dynamically populated scission configurations, favorable fragment PES regions, and regions of low neutron and/or proton level density near the Fermi surface. This overlap is most evident in the dominant asymmetric components of Pu240 and Th232 and in the symmetric component of Fm264, whereas the subdominant components show weaker or more diffuse overlap.

    Conclusion: SF yields reflect shell-favored fragment configurations that are made accessible by the PES topology and populated by the Langevin dynamics. Enhanced yields then arise in shell-stabilized channels, where shell gaps provide additional binding and favor the fragment configurations energetically. Proton shell effects play a key role in heavy and light fragments, while neutron shell effects provide additional stabilization.

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