Scaling Law in Cluster Decay

TL;DR

This paper extends a known scaling law for alpha decay to cluster decay, demonstrating a linear relationship between the logarithm of half-life and a specific scaling variable for even-even parent nuclei.

Contribution

The study generalizes the alpha decay scaling law to cluster decay, introducing a new linear dependence involving the scaling variable S and the reduced mass.

Findings

Logarithm of half-life depends linearly on the scaling variable S.

The linear relationship also involves the square root of the reduced mass.

The scaling law applies specifically to even-even parent nuclei.

Abstract

A recently proposed scaling law for the decay time of alpha particles is generalized for cluster decay. It is shown that for the decay of even-even parents, $logT_{1/2}$ depends linearly on the scaling variable S=(Z$_{c}$Z$_{d})^{0.6}/\sqrt{Q_{c}}$ and on the square root of the reduced mass of cluster and daughter.