# Alpha decay calculations with a new formula

## TL;DR

This paper introduces a new semi-empirical formula for alpha decay half-life calculations, derived from Royer's relationship, and compares its performance with established models across multiple datasets.

## Contribution

The paper presents a novel semi-empirical formula for alpha decay half-lives, fixed by experimental data, and demonstrates its competitive accuracy against well-known models.

## Key findings

- The new formula performs well across different datasets.
- It competes with established models like semFIS and UNIV.
- It is simpler yet effective in predicting alpha decay half-lives.

## Abstract

A new semi-empirical formula for calculations of $\alpha$~decay halflives is presented. It was derived from Royer relationship by introducing new parameters which are fixed by fit to a set of experimental data. We are using three sets: set A with 130 e-e (even-even), 119 e-o (even-odd), 109 o-e, and 96 o-o, set B with 188 e-e, 147 e-o, 131 o-e, and 114 o-o, and set C with 136 e-e, 84 e-o, 76 o-e, and 48 o-o alpha emitters. A comparison of results obtained with the new formula and the following well known relationships: semFIS (semiempirical based on fission theory), ASAF (analytical superAsymmetric fission) model, and UNIV (universal formula) is made in terms of rms standard deviation. We also introduced a weighted mean value of this quantity, allowing to compare the global properties of a given model. For the set B the order of the four models is the following: semFIS, UNIV, newF, and ASAF. Nevertheless for even-even alpha emitters UNIV gives the 2nd best result after semFIS, and for odd-even parents the 2nd is newF. Despite its simplicity in comparison with semFIS the new formula, presented in this article, behaves quite well, competing with the others well known relationships.