Role of nuclear radii in the exotic cluster-decay

TL;DR

This paper investigates how different nuclear radius formulas affect the calculated half-lives of cluster decay in $^{56}$Ni$^{*}$, highlighting the importance of radius choice in decay predictions.

Contribution

It compares the impact of Royer and Bass radius formulas on cluster decay half-life calculations within the PCM framework.

Findings

Royer radius formula yields half-lives within ±7%

Bass radius formula yields half-lives within ±10%

Radius choice significantly influences decay half-life predictions

Abstract

We have calculated the half-lives of $^{56}$Ni$^{\ast}$ within PCM for clusters $\ge ^{16}$O. The cluster decay half-lives studied with respect to radius formula due to Royer (R$_{Royer}$) shows that the half-lives lie within $\pm$7%, excluding Bass radius formula where these lie within $\pm$10%.