标题： 折叠程序对于$Ω$-$α$势能的应用 显示英文标题

标题： Folding procedure for $Ω$-$α$ potential

摘要： 利用折叠程序，我们基于$\Omega$-$N$($^{5}S_{2}$) HAL QCD势研究了$\Omega$+$\alpha$系统的束缚态。先前的理论分析表明存在一个深度束缚的基态，这归因于强$\Omega$-核子相互作用。 利用参数化好的α粒子内部核子密度以及中心HAL QCD $\Omega$-$N$势，我们进行了折叠势 $\Omega$-$\alpha$的数值计算。 我们的结果显示，$V_{\Omega\alpha}(r)$ 势能可以用一个 Woods-Saxon 函数精确拟合，在渐近区域（其中 $2 < r < 3$ fm）具有经验参数 $R = 1.1A^{1/3} \approx 1.74$ fm ($A=4$)。我们详细描述了相应的数值方法。我们在团簇模型中对该 \$$\Omega$+$\alpha$\$ 系统的结合能评估与之前和最近报道的结果一致。 为进一步验证折叠过程，我们还基于ESC08c Nijmegen模型的模拟计算了$\Xi$-$\alpha$折叠势能$Y$-$N$。 提出了$\Xi$-$\alpha$折叠势和$\Xi$-$ \alpha$现象学势的全面比较并进行了讨论。 显示英文摘要

摘要： Using the folding procedure, we investigate the bound state of the $\Omega$+$\alpha$ system based on $\Omega$-$N$ ($^{5}S_{2}$) HAL QCD potential. Previous theoretical analyses have indicated the existence of a deeply bound ground state, which is attributed to the strong $\Omega$-nucleon interaction. By employing well-established parameterizations of nucleon density within the alpha particle, and the central HAL QCD $\Omega$-$N$ potential, we performed numerical calculations for the folding $\Omega$-$\alpha$ potential. Our results show that the $V_{\Omega\alpha}(r)$ potential can be accurately fitted using a Woods-Saxon function, with a phenomenological parameter $R = 1.1A^{1/3} \approx 1.74$ fm ($A=4$) in the asymptotic region where $2 < r < 3$ fm. We provide a thorough description of the corresponding numerical procedure. Our evaluation of the binding energy of the $\Omega$+$\alpha$ system within the cluster model is consistent with both previous and recent reported findings. To further validate the folding procedure, we also calculated the $\Xi$-$\alpha$ folding potential based on a simulation of the ESC08c $Y$-$N$ Nijmegen model. A comprehensive comparison between the $\Xi$-$\alpha$ folding and $\Xi$-$ \alpha$ phenomenological potentials is presented and discussed.