Cluster-decay of $^{56}$Ni$^{\ast}$} compound system using different Fermi density parameters

TL;DR

This study calculates the half-lives of $^{56}$Ni* decay using PCM and UFM models with various Fermi density parameters, revealing minor variations in decay constants across different parameters.

Contribution

It compares the effects of different Fermi density parameters on cluster decay half-lives within PCM and UFM models, highlighting the robustness of these models.

Findings

Half-lives vary within ±5% (PCM) and ±1.5% (UFM) for most parameters.

Including SM parameters increases variation to ±13% (PCM) and ±9% (UFM).

Decay constants show similar trends across different density parameters.

Abstract

We have calculated the half-lives for $^{56}$Ni$^{\ast}$ within PCM and UFM for clusters $\ge ^{16}$O. For PCM, the order of magnitude of cluster decay constants for different density parameters is nearly same, except for SM parameters. Similar trends are observed for UFM. The percentage variation in the half-lives for the PCM lies within $\pm$5% excluding SM parameters, whereas including SM parameters it lies within $\pm$13%. In the case of UFM, half-lives lie within $\pm$1.5% for all density parameters except of SM. For SM parameters these variations lie within $\pm$9%.