Systematic Study of Proton, Two-Proton, Alpha, and Cluster Radioactivity Half-Lives based on the Deformed Gamow-like Model and Tabular Prior-data Fitted Network (TabPFN)
Abstract
A hybrid framework combining the deformed Gamow-like model (DGLM) with the Tabular Prior-data Fitted Network (TabPFN) is developed to improve half-life predictions for two-proton emission, proton emission, α decay, and cluster radioactivity. A total of 583 radioactive nuclei are investigated, including 17 two-proton emitters, 42 proton emitters, 498 α emitters, and 26 cluster emitters. Among the four considered models, DGLMb+TabPFN achieves the best overall performance, with σRMS=0.423, corresponding to an improvement of approximately 82.2% over DGLMb. The model parameters are optimized for each decay mode using the least-squares method. After introducing TabPFN, the prediction errors for proton emission and α decay are reduced by approximately 80.6% and 87.6%, respectively. For α decay, the training, test, and overall RMSEs are 0.208, 0.305, and 0.240, indicating good generalization capability without evident overfitting. The model also reproduces the systematic evolution of α-decay half-lives and the shell-closure effect around N=126. These results demonstrate that combining DGLM with TabPFN significantly improves the accuracy and robustness of radioactive-decay half-life predictions while retaining the physical interpretability of the original model.
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BibTeX
@misc{yang2026systematic,
title = {{Systematic Study of Proton, Two-Proton, Alpha, and Cluster Radioactivity Half-Lives based on the Deformed Gamow-like Model and Tabular Prior-data Fitted Network ($\mathrmTabPFN$)}},
author = {Anqi Yang and Panpan Qi and Qingning Yuan and Gongming Yu and Haitao Yang and Zhangyan Li and Yanbing Cai},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.21646},
eprint = {2609.21646},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.21646},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Systematic Study of Proton, Two-Proton, Alpha, and Cluster Radioactivity Half-Lives based on the Deformed Gamow-like Model and Tabular Prior-data Fitted Network (TabPFN)
AU - Anqi Yang
AU - Panpan Qi
AU - Qingning Yuan
AU - Gongming Yu
AU - Haitao Yang
AU - Zhangyan Li
AU - Yanbing Cai
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2609.21646
UR - https://arxiv.org/abs/2609.21646
AB - A hybrid framework combining the deformed Gamow-like model (DGLM) with the Tabular Prior-data Fitted Network (TabPFN) is developed to improve half-life predictions for two-proton emission, proton emission, α decay, and cluster radioactivity. A total of 583 radioactive nuclei are investigated, including 17 two-proton emitters, 42 proton emitters, 498 α emitters, and 26 cluster emitters. Among the four considered models, DGLM^b+TabPFN achieves the best overall performance, with σ_RMS=0.423, corresponding to an improvement of approximately 82.2% over DGLM^b. The model parameters are optimized for each decay mode using the least-squares method. After introducing TabPFN, the prediction errors for proton emission and α decay are reduced by approximately 80.6% and 87.6%, respectively. For α decay, the training, test, and overall RMSEs are 0.208, 0.305, and 0.240, indicating good generalization capability without evident overfitting. The model also reproduces the systematic evolution of α-decay half-lives and the shell-closure effect around N=126. These results demonstrate that combining DGLM with TabPFN significantly improves the accuracy and robustness of radioactive-decay half-life predictions while retaining the physical interpretability of the original model.
ER -