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    Systematics of α-decay half-lives from neural network modeling and application to superheavy nuclei

    Nishu Jain* and Raj Kumar†

    • *Contact author: nishujain1003@gmail.com
    • †Contact author: rajkumar@thapar.edu

    Phys. Rev. C 114, 034325 – Published 21 September, 2026

    DOI: https://doi.org/10.1103/9gv5-kx6q

    Abstract

    Background: The study of α-decay half-lives is essential for understanding the stability and structure of heavy and superheavy nuclei. Accurate prediction of these half-lives is important for exploring regions where experimental data are limited, particularly in the superheavy domain. In recent years, machine-learning techniques have emerged as powerful tools for identifying complex relationships within the nuclear data and improving predictive capability.

    Purpose: The present work aims to investigate the predictive capability of a neural network framework for estimating α-decay half-lives across a wide range of nuclei and to examine whether the model can reliably reproduce known decay systematics and extend predictions to the superheavy region.

    Methods: A neural network model was trained on experimentally known α-decay data for 535 energetically allowed nuclei, comprising 159 even-even nuclei (Gd148 to Og294), 295 odd-A nuclei (Tb149 to Fl289), and 81 doubly odd nuclei (Eu148 to Md258). The predicted logarithmic α-decay half-lives are compared with the available experimental data as well as with the corresponding values obtained from the semi-empirical Universal Decay Law. The performance of the model is evaluated through correlation analysis, residual distributions, root-mean-square error behavior during training, and fivefold cross-validation tests. The trained model is then applied to predict α-decay half-lives for theoretically known superheavy nuclei in the region 117 ≤ Z ≤ 120. The predicted results are further compared with recent machine-learning models, microscopic calculations, the finite-range droplet model, and the Viola–Seaborg–Sobiczewski formula.

    Results: The neural network predictions show good agreement with experimental data and follow trends similar to those obtained from the semi-empirical formulas. The statistical analysis indicates high correlation between predicted and experimental half-lives, with small residual deviations and stable prediction errors across different data partitions. The model successfully captures the nonlinear dependence of α-decay half-life on decay energy and nuclear charge. Predictions for superheavy nuclei exhibit systematic behavior consistent with established decay trends.

    Conclusion: The results demonstrate that neural network techniques provide an effective and reliable approach for predicting α-decay half-lives for even-even and odd-mass nuclei. The model reproduces known decay systematics and offers useful predictions in the superheavy region, which may assist future experimental studies of superheavy nuclei.

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