Systematic study of the -particle preformation factor in the theory of -decay based on the tabular prior-data fitted network, TabPFN
Phys. Rev. C 113, 054606 – Published 15 May, 2026
DOI: https://doi.org/10.1103/5v47-6dcs
Abstract
A hybrid approach combining the Tabular Prior-data Fitted Network (TabPFN) with the Coulomb and proximity potential model (CPPM) is developed to investigate -particle preformation factors and their impact on -decay half-lives. The TabPFN model, trained on 498 nuclei, accurately learns the relationship between nuclear-structure properties and , achieving a root-mean-square deviation of . The predicted factors reveal clear odd-even staggering and shell-closure effects, and exhibit linear correlations with both and the fragmentation potential . When incorporated into CPPM calculations, the machine-learning-based values significantly improve half-life predictions. Similar improvements are also obtained when deformation effects are included in the potential barrier description. The capability of the model is further demonstrated through predictions for superheavy nuclei (), suggesting as a potential neutron magic number.