NUCLEAR TECHNIQUES, Volume. 48, Issue 5, 050003(2025)

Nucleon separation energy predictions with the Kernel ridge regression

Yueying GUO, Xiangqi TANG, Huixin LIU, and Xinhui WU*
Author Affiliations
  • College of Physics and Information Engineering, Fuzhou University, Fuzhou 350108, China
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    Background

    Nuclear separation energies play pivotal roles in determining nuclear reaction rates and thus significantly impact astrophysical nucleosynthesis processes. The separation energies of many neutron-rich nuclei are still beyond the capacity of experimental measurements even in the foreseeable future.

    Purpose

    This study aims to employ two machine learning approaches to improve nuclear separation energy predictions, including double neutron (S2n), double proton (S2p), single neutron (Sn), and single proton (Sp) separation energies.

    Methods

    The Kernel Ridge Regression (KRR) and Kernel Ridge Regression with odd-even effects (KRRoe) approaches were applied to predict nuclear masses. Nuclear separation energies were calculated with the KRR and KRRoe mass models. The accuracies of these two approaches in describing experimentally known separation energies were compared. In addition, the extrapolation performances of KRR and KRRoe approaches for single nucleon separation energy and double nucleon separation energy were also compared.

    Results

    Both KRR and KRRoe methods improve descriptions of double nucleon separation energies S2n and S2p. However, only the KRRoe method achieves enhanced improvement for single nucleon separation energies Sn and Sp, owing to its kernel function that incorporates odd-even effects, effectively capturing the staggering behavior in these energies, unlike the KRR's flat Gaussian kernel.

    Conclusions

    The study demonstrates the importance of incorporating odd-even effects to accurately describe single nucleon separation energies, highlighting the superiority of the KRRoe method over the standard KRR method in the predictions of single nucleon separation energies.

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    Yueying GUO, Xiangqi TANG, Huixin LIU, Xinhui WU. Nucleon separation energy predictions with the Kernel ridge regression[J]. NUCLEAR TECHNIQUES, 2025, 48(5): 050003

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    Paper Information

    Category: Special Topics on Applications of Machine Learning in Nuclear Physics and Nuclear Data

    Received: Mar. 6, 2025

    Accepted: --

    Published Online: Jun. 26, 2025

    The Author Email: Xinhui WU (吴鑫辉)

    DOI:10.11889/j.0253-3219.2025.hjs.48.250096

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