On Double-Beta Decay Half-Life Time Systematics

TL;DR

This paper analyzes the systematics of double-beta decay half-lives using an empirical approach, identifying a specific energy trend and predicting half-lives for various isotopes, with comparisons to existing data.

Contribution

It introduces a simple empirical model revealing a consistent energy dependence in double-beta decay half-lives and extends predictions to multiple isotopes.

Findings

Identified T^{2 u}_{1/2} ~ 1/E^8 trend for Te isotopes

Predicted half-lives for various isotopes based on this trend

Compared results with other theoretical and experimental data

Abstract

Recommended 2 $\beta$ (2 $\nu$) half-life values and their systematics were analyzed in the frame- work of a simple empirical approach. T$^{2 \nu}$$_{1/2}$ ~ 1/E$^{8}$ trend has been observed for $^{128,130}$Te recommended values. This trend was used to predict T$^{2 \nu}$$_{1/2}$ for all isotopes of interest. Current results were compared with other theoretical and experimental works.