The cascade decay processes from the 1s-core-hole state of Ar ion have been studied theoretically via straightforward construction of de-excitation trees and high-accuracy level-to-level calculations using the flexible atomic code (FAC). The final charge state distribution (FCSD), contributions of different cascade routes to the FCSD, and the main production pathways of each Arⁱ⁺ ion which are never discussed before are analyzed carefully. It is found that the de-excitation processes is very complex and Auger decay is the predominant channel, the most probable final charge state is 4, while Ar⁺ to Ar⁶⁺ ions can be produced in the 5-step Auger cascade decay processes for Ar⁺1s⁻¹ hole state. Ar⁺ is mainly derived from KM₂₃ channel, Ar²⁺ is associated mainly with KL₂₃ channel, when Ar³⁺, Ar⁴⁺, Ar⁵⁺ and Ar⁶⁺ions are mainly coming from KL₂₃M₂₃, KL₂₃L₂₃, KL₁L₂₃ and KL₁L₁ channels, respectively. Present studies would be helpful for further researches on the cascade decay processes of deep inner-shell hole states, and for the interaction between x-ray free-electron lasers and matter.

从理论上讲，通过简单地构建消磁树并使用柔性原子代码（FAC）进行高精度的逐级计算，研究了Ar离子从1s核孔态的级联衰减过程。仔细分析了最终电荷状态分布（FCSD），不同级联路径对FCSD的贡献以及每个Ar ^{i +}离子的主要生产途径，这些都是以前从未讨论过的。发现去激励过程非常复杂，俄歇衰变是主要的通道，最可能的最终电荷态是4，而在5步俄歇级联衰变过程中，可以产生Ar ⁺至Ar ⁶⁺离子。 Ar ⁺ 1s ^-1空穴状态。氩⁺当Ar ³⁺，Ar ⁴⁺，Ar ⁵⁺和Ar ⁶⁺离子主要来自KL ₂₃ M ₂₃，KL ₂₃ L ₂₃时，Ar ²⁺主要来自KM ₂₃通道，而Ar ²⁺主要与KL ₂₃通道相关。 KL ₁ L ₂₃和KL ₁ L ₁通道。目前的研究将有助于进一步研究深壳内孔态的级联衰变过程，以及有助于X射线自由电子激光器与物质之间的相互作用。