Theoretical and experimental \alpha decay half-lives of the heaviest odd-Z elements and general predictions

TL;DR

This paper combines theoretical models and experimental data to estimate alpha decay half-lives of the heaviest odd-Z elements, providing predictions to aid future experimental identification of superheavy nuclei.

Contribution

It introduces a comprehensive comparison of decay half-life calculations using the GLDM, DDM3Y, and VSS methods for superheavy elements, with new predictions based on recent Q-value extrapolations.

Findings

GLDM and VSS calculations agree with experimental data within certain ranges.

Predicted decay half-lives for unmeasured superheavy nuclei are provided.

The models offer consistent estimates useful for experimental identification.

Abstract

Theoretical decay half-lives of the heaviest odd-Z nuclei are calculated using the experimental Q value. The barriers in the quasimolecular shape path are determined within a Generalized Liquid Drop Model (GLDM) and the WKB approximation is used. The results are compared with calculations using the Density-Dependent M3Y (DDM3Y) effective interaction and the Viola-Seaborg-Sobiczewski (VSS) formulas. The calculations provide consistent estimates for the half-lives of the decay chains of these superheavy elements. The experimental data stand between the GLDM calculations and VSS ones in the most time. Predictions are provided for the decay half-lives of other superheavy nuclei within the GLDM and VSS approaches using the recent extrapolated Q of Audi, Wapstra, and Thibault [Nucl. Phys. A729, 337 (2003)], which may be used for future experimental assignment and identification.