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    Interplay between shell effect and pairing correlation in the α-decay energy

    Shulin Tang, Yibin Qian*, and Tao Wan

    Zhongzhou Ren

    • *Contact author: qyibin@njust.edu.cn

    Phys. Rev. C 112, 014308 – Published 2 July, 2025

    DOI: https://doi.org/10.1103/l6ft-qvcs

    Abstract

    The α-decay energy (Qα), deduced from nuclear binding energies, is often utilized to study nucleon-nucleon interaction and explore the structural property of exotic nuclei near the proton dripline. The systematics of available experimental α-decay energies, in isotopic chains of heavy nuclei across the N=126 shell, behaves in a seeming contradiction with the shell-model picture: the lowest value of Qα occurs at N=124, not N=126. This phenomenon can be effectively explained by investigating the mass differences, with the concentration on the contributions from the shell effect and pairing correlation through the macroscopic-microscopic mass model. The analysis is then extended to the region near the subshells of both N=152 and N=162, leading to the satisfactory reproduction of the experimental trend of decay energies as well. In addition, we present a detailed comparison with those results from the Finite-Range Droplet Model, the Hartree-Fock-Bogoliubov mass model, and the Weizsäcker-Skyrme mass formula, as accompanied by the similar pattern with respect to the experimental data.

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