Alpha-decay half-lives of the even–even superheavy isotopes with proton numbers [Formula: see text] have been calculated within the cluster model. The alpha-daughter potential was constructed by employing the density-dependent double-folding model with a realistic nucleon–nucleon interaction whose exchange part has a finite range approximation. The half-lives were calculated using Wentzel–Kramers–Brillouin (WKB) approximation with the alpha preformation factor. The results have shown that the computed alpha-decay half-lives were in good agreement with their counterpart calculated by different semi-empirical approaches. The obtained results have also shown a negative linear relationship between the logarithm of the preformation factor and the fragmentation potential for the understudy isotopes. Also, the calculated results have shown that isotopes [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] had longer half-lives than their adjacent isotopes, which indicates that the corresponding neutron or proton numbers have a magical or semi-magical properties. Furthermore, we have studied the competition between alpha-decay and spontaneous fission to predict possible decay modes from the even–even isotopes [Formula: see text]. The results revealed that the isotopes [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] had alpha-decay as a predominant mode of decay and the nuclei [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text] could not survive from the spontaneous fission. We hope that the theoretical prediction could be helpful for future investigation in this field.

中文翻译：

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Z=120-126的超重同位素α衰变的系统研究

具有质子数 [公式：见正文] 的偶数超重同位素的 α 衰变半衰期已在集群模型中计算出来。α-子势是通过采用密度相关的双折叠模型构建的，该模型具有真实的核子 - 核子相互作用，其交换部分具有有限范围近似。半衰期使用 Wentzel-Kramers-Brillouin (WKB) 近似和 alpha 预形成因子计算。结果表明，计算的 α 衰变半衰期与通过不同的半经验方法计算的对应物非常一致。获得的结果还表明，预形成因子的对数与待研究同位素的碎裂潜力之间存在负线性关系。还，计算结果表明，同位素[公式：见文]、[公式：见文]、[公式：见文]和[公式：见文]的半衰期比它们相邻的同位素长，这表明对应的中子或质子数具有神奇或半神奇的特性。此外，我们研究了α衰变和自发裂变之间的竞争，以预测偶-偶同位素可能的衰变模式[公式：见正文]。结果表明，同位素[公式：见正文]、[公式：见正文]、[公式：见正文]和[公式：见正文]具有α衰变作为主要衰变模式，而原子核[公式：见正文] text]、[Formula: see text]、[Formula: see text] 和 [Formula: see text] 无法从自发裂变中存活下来。