We systematically investigate the experimental α-decay half-lives of the 263 parent nuclei in the range of $52\le Z\le 107$ for the ground state to ground state α-transitions in terms of a molecular potential called the Morse potential by utilizing the Wentzel-Kramers-Brillouin (WKB) approximation and Bohr-Sommerfeld quantization condition. We find out the optimum parameters of the Morse potential to explain the α-decay half-lives of the parent nuclei and compare our results with the unified model for α-decay and α capture (UMADAC) and the Universal Decay Law (UDL). In calculations of the α-decay half-lives of the parent nuclei, we achieve better results than the UMADAC and UDL models in terms of few degrees of freedom.

我们系统地研究了263个亲核的实验α衰变半衰期在$52\le ž\le 107$通过利用Wentzel-Kramers-Brillouin（WKB）近似和Bohr-Sommerfeld量化条件，从基态到基态α-跃迁的分子势称为莫尔斯电势。我们找到了莫尔斯电势的最佳参数来解释母核的α衰变半衰期，并将我们的结果与统一的α衰变和α捕获模型（UMADAC）和通用衰变定律（UDL）进行比较。在计算父核的α衰变半衰期时，就自由度而言，我们比UMADAC和UDL模型获得更好的结果。