标题： 暗等离子体中复合截面对应原理的问题 显示英文标题

标题： Problems of the correspondence principle for the recombination cross section in dark plasma

摘要： 我们提出了关于对应原理在描述异性带电粒子复合问题中的相关问题。 这些问题来源于宇宙学暗物质（DM）问题的研究。 考虑具有库仑类相互作用的粒子。 虽然问题看起来更为普遍，但假设暗物质粒子之间存在这种类库仑类相互作用。 分析表明，使用不同的半经典方法会导致复合事件数量之间的明显差异。 我们试图找到一些条件，使得经典截面（与多重软光子过程有关）可以归约为在半经典近似（克兰斯公式）下得到的量子截面。 我们只是指出了这一点，并提供了一些（非决定性的）论据。 显示英文摘要

摘要： We raise the issues concerning correspondence principle in description of a recombination of oppositely charged particles. These issues have come from cosmological dark matter (DM) problem investigations. Particles possessing Coulomb-like interaction are considered. Such Coulomb-like interaction between DM particles is assumed though the problem seems to be more general. Analysis showed that usage of different semiclassical approaches leads to the apparent discrepancy between numbers of recombination acts. We attempted to find some conditions under which classical cross-section (which relates to multiple soft photon process) reduces to quantum one, which is obtained in semi-classical approximation (Kramers' formula). We just draw attention to this and provide some (not decisive) arguments.