标题： 奇异原子中的轨道坍缩及其对动力学的影响 显示英文标题

标题： Orbital Collapse in Exotic Atoms and Its Effect on Dynamics

摘要： 我们研究了μ子氩原子的能量结构，并使用密度泛函理论（DFT）发现μ子轨道在临界角动量$l_c$处发生坍缩。 $l_c$可能为μ子-氩碰撞中的μ子捕获态提供一个上限。 我们通过使用时间依赖薛定谔方程（TDSE）和经典轨迹蒙特卡罗（CTMC）方法，并采用单活性粒子近似，计算状态指定的捕获概率来确认这一上限的存在。 修改经典结合能与主量子数之间的映射关系，使得通过TDSE和CTMC方法得到的状态指定μ子捕获概率达成合理一致。 我们还提出了一种简单的方法，从原子模型势能中估算奇异稀有气体原子的$l_c$。 估算值与DFT计算的结果相符。 显示英文摘要

摘要： We study the energy structures of muonic Ar atoms and find the muon orbital collapses at a critical angular momentum $l_c$ using density-functional theory (DFT). The $l_c$ may provide an upper limit for the muon-captured states in muon-Ar collisions. We confirm the existence of this upper limit by calculating the state-specified capture probability using the time-dependent Schr\"odinger equation (TDSE) and a classical trajectory Monte Carlo (CTMC) methods with the single-active-particle approximation. Modifying the mapping between the classical binding energy and the principal quantum number led to a reasonable agreement in the state-specified muon capture probabilities obtained by the TDSE and CTMC methods. We also propose a simple method to estimate $l_c$ for exotic noble atoms from atomic model potentials. The estimated values agree with those calculated by DFT.