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

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%.