A global potential constrained by the Bohr-Sommerfeld quantization condition for $\hat{I}\pm$-decay half-lives of even-even nuclei

Abstract

The $\hat{I}\pm$ decay provides valuable constraints on nuclear structure and plays an essential role in identifying heavy and superheavy nuclei. We study $\hat{I}\pm$-decay half-lives of 178 even-even nuclei within a semi-classical WKB framework using a phenomenological Woods-Saxon $\hat{I}\pm$-nucleus potential. The potential depth is determined by imposing the Bohr-Sommerfeld quantization condition (BSQC), ensuring a physically consistent description of the quasibound $\hat{I}\pm$-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 $\hat{I}\pm$ decay.

11 pages, 4 figures, 4 tables. Accepted for publication in Nuclear Physics A