A global potential constrained by the Bohr-Sommerfeld quantization condition for $\alpha$-decay half-lives of even-even nuclei

TL;DR

This study develops a semi-classical model for predicting $ ext{α}$-decay half-lives of even-even nuclei by constraining the potential with the Bohr-Sommerfeld quantization condition, achieving accurate, large-scale predictions.

Contribution

It introduces a global parametrization of the potential depth constrained by BSQC, enabling efficient and accurate large-scale $ ext{α}$-decay half-life calculations.

Findings

Reproduces experimental half-lives with high accuracy

Provides a computationally efficient global model

Validates the approach with 178 nuclei data

Abstract

The $\alpha$ decay provides valuable constraints on nuclear structure and plays an essential role in identifying heavy and superheavy nuclei. We study $\alpha$-decay half-lives of 178 even-even nuclei within a semi-classical WKB framework using a phenomenological Woods-Saxon $\alpha$-nucleus potential. The potential depth is determined by imposing the Bohr-Sommerfeld quantization condition (BSQC), ensuring a physically consistent description of the quasibound $\alpha$-daughter system. To facilitate large-scale calculations, a global parametrization of the BSQC-constrained potential depth is constructed. The resulting half-lives reproduce experimental data with comparable accuracy for both the direct BSQC approach and the fitted prescription, providing a first step toward a global and computationally efficient description of $\alpha$ decay.