Nonlocality Effect in the Alpha decay half-lives of superheavy nuclei with XGBRegressor

TL;DR

This paper enhances the two-potential approach for alpha decay half-life calculations of superheavy nuclei by integrating gradient boosting regression to optimize nonlocality parameters, significantly improving accuracy.

Contribution

The study introduces a novel application of gradient boosting regression to optimize nonlocality parameters in the TPA, improving half-life predictions for superheavy nuclei.

Findings

Root-mean-square deviation reduced by 74.8% compared to original TPA.

Improved TPA achieves high accuracy for 599 nuclei with Z=52-118.

Predictions for 142 superheavy nuclei Z=117-120 are consistent across models.

Abstract

Building on the work of E. L. Medeiros [1] and our previous study [2], we generalize the alpha-nucleus nonlocality effect to odd-A and odd-odd nuclei within the two-potential approach (TPA) framework. The coordinate-dependent parameters introduced by this nonlocality are optimized using an advanced gradient boosting regression model. This improved TPA is applied to calculate the $\alpha$-decay half-lives of 599 nuclei with $Z = 52-118$, yielding a root-mean-square (RMS) deviation that is 74.8$\%$ lower than that of the original TPA. Subsequently, we employ the improved TPA, along with the DZR [3] and MUDL [4]models, to predict alpha-decay half-lives for 142 superheavy nuclei with $Z = 117-120$. The predictions from all three models are in close agreement, with the results from our improved TPA and the DZR model being nearly identical.