\texorpdfstring{$α$}{}-decay for superheavy nucleus: The alpha decay energy to the one-fourth power

Recently, Sobhani and Luo \cite{sobhani2025unified} proposed a new empirical formula for $α$ decay based on the $Q_α^{-1/4}$ energy dependence, incorporating the proton number $Z$, neutron number $N$, and relative neutron excess $I = (N - Z)/(N + Z)$ as primary parameters. In this work, we extend th