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Predictions of $α$ decay half-lives for even-even superheavy nuclei with $104 \leqslant Z \leqslant 128$ based on two-potential approach within cluster-formation model

In present work, we systematically study the $α$ decay half-lives of 170 even-even nuclei with $60 \leqslant Z \leqslant 118$ within the two-potential approach while the $α$ decay preformation factor $P_α$ is obtained by the cluster-formation model. The calculated results can well reproduce the experimental data. In addition, we extend this model to predict the $α$ decay half-lives of 64 even-even nuclei with $104 \leqslant Z \leqslant 128$ whose $α$ decay is energetically allowed or observed but not yet quantified. For comparing, the two famous models i.e. SemFIS proposed by D. Poenaru ${et\ al.}$ [\href {https://doi.org/10.1209/0295-5075/77/62001}{Europhys. Lett. \textbf{77} (2007) 62001}] and UDL proposed by C. Qi ${et\ al.}$ [\href {https://doi.org/10.1103/PhysRevLett.103.072501}{Phys. Rev. Lett. \textbf{103} (2009) 072501}] are used. The predicted results of these models are basically consistent. At the same time, through analyzing the changing trend of $α$ decay energy $Q_α$ of \emph{Z} = 118, 120, 122, 124, 126 and 128 isotopes nuclei with the increasing of neutron number \emph{N} and that of $α$ decay preformation factor $P_α$ of those isotopes even-even nuclei with the increasing of neutron number \emph{N}, \emph{N} = 178 may be a new neutron magic number.