标题： 暗原子与核子相互作用的数值模拟 显示英文标题

标题： Numerical simulation of dark atom interaction with nuclei

摘要： 暗原子在直接暗物质搜索谜题中的旧问题仍未解决，这与暗原子与核子相互作用中存在低能束缚态的严格证明有关。 这种证明必须涉及对这种相互作用中核吸引力和库仑排斥力的自洽计算。 由于原子物理中通常的小参数（如电子壳层的电磁耦合小或核子尺寸相对于玻尔轨道半径小）不存在，对该问题的严格研究不可避免地意味着对暗原子与核子相互作用进行数值模拟。 我们对$OHe-$核相互作用的模拟方法涉及通过不断向最初的经典三体问题图像中添加关键的量子力学特征，以逐步逼近现实情况。 显示英文摘要

摘要： The old and still not solved problem of dark atom solution for the puzzles of direct dark matter searches is related with rigorous prove of the existence of a low energy bound state in the dark atom interaction with nuclei. Such prove must involve a self-consistent account of the nuclear attraction and Coulomb repulsion in such interaction. In the lack of usual small parameters of atomic physics like smallness of electromagnetic coupling of the electronic shell or smallness of the size of nucleus as compared with the radius of the Bohr orbit the rigorous study of this problem inevitably implies numerical simulation of dark atom interaction with nuclei. Our approach to such simulations of $OHe-$nucleus interaction involves multi-step approximation to the realistic picture by continuous addition to the initially classical picture of three point-like body problem essential quantum mechanical features.