The $\alpha +{}^{15}\text{O}$ cluster structure in astrophysically important ¹⁹Ne nucleus has been investigated within the framework of the shifted Deng-Fan potential model. The Nikiforov-Uvarov (NU) method is applied to reproduce the rotational bands of $\alpha +{}^{15}\text{O}$ configuration. The lifetimes of the $9/2^{-}$ and $7/2^{-}$ resonance states of ¹⁹Ne populated in the ${}^{15}\text{O}(\alpha ,\gamma )$ reaction are also calculated by employing this local potential cluster model. Good agreement is found between the calculated and the experimental spectra, especially our calculations have produced the correct spins and parities of states at 4.14 and 4.20 MeV. Our results suggest that the shifted Deng-Fan potential is applicable to describe cluster-core structures in nuclei.

这 $\alpha +{}^{15}\text{哦}$天体物理学上重要的¹⁹ Ne 核中的星团结构已在转移的 Deng-Fan 势模型的框架内进行了研究。Nikiforov-Uvarov (NU) 方法用于重现旋转带$\alpha +{}^{15}\text{哦}$配置。人的一生$9/2^{-}$ 和 $7/2^{-}$¹⁹ Ne 的共振态分布在${}^{15}\text{哦}(\alpha ,\gamma )$反应也可以通过使用这种局部潜在聚类模型来计算。在计算光谱和实验光谱之间发现了很好的一致性，特别是我们的计算在 4.14 和 4.20 MeV 处产生了正确的自旋和状态奇偶性。我们的结果表明，转移的邓凡势适用于描述原子核中的簇核结构。