In this work, we systematically study the [Formula: see text] decay half-lives of 170 even–even nuclei with [Formula: see text] within the two-potential approach while the [Formula: see text] decay preformation factor [Formula: see text] 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 [Formula: see text] decay half-lives of 64 even–even nuclei with [Formula: see text] whose [Formula: see text] decay is energetically allowed or observed but not yet quantified. For comparison, the two famous models i.e., SemFIS proposed by Poenaru et al. [Europhys. Lett. 77 (2007) 62001] and UDL proposed by Qi et al. [Phys. Rev. Lett. 103 (2009) 072501] are used. The predicted results of these models are basically consistent. At the same time, through analyzing the changing trend of [Formula: see text] decay energy [Formula: see text] of [Formula: see text] and 128 isotopes nuclei with the increasing of neutron number N and that of [Formula: see text] decay preformation factor [Formula: see text] of those isotopes even–even nuclei with the increasing of neutron number N, [Formula: see text] may be a new neutron magic number.
Systematic study of
α
decay for odd-
A
nuclei within a two-potential approach