Systematics of -decay half-lives from neural network modeling and application to superheavy nuclei
Phys. Rev. C 114, 034325 – Published 21 September, 2026
DOI: https://doi.org/10.1103/9gv5-kx6q
Abstract
Background: The study of -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 -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 -decay data for 535 energetically allowed nuclei, comprising 159 even-even nuclei ( to ), 295 odd-A nuclei ( to ), and 81 doubly odd nuclei ( to ). The predicted logarithmic -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 -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 -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 -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.