Collaborative Research: Hyperspherical Hidden Crossing Method Applied to Positron-Alkali and Positron-Hydrogen Collisions at Low Energies

该方案是超球面隐藏交叉方法(HHCM)在正电子-原子散射中的应用。正电子-碱碰撞将在有两个开放通道的能量范围内进行研究，弹性散射和正电子形成。对于正电子-氢碰撞，计划将之前的双通道计算扩展到包括对氢的n=2态的激发。这项研究的目的是提供对三个带电粒子的动力学的洞察，这是理解原子碰撞动力学的基础。HHCM非常适合于研究三个任意质量的带电粒子的碰撞。HHCM方法与超球面方法的一个重要共同特点是它在同等基础上处理激发和重排过程，这对于正电子-原子碰撞中正电子的形成是很重要的。

The proposed project is an application of the hyperspherical hidden crossing method(HHCM) to positron-atom scattering. Positron-alkali collisions will be investigated inthe energy range where there are two open channels, elastic scattering and positroniumformation. For positron-hydrogen collisions, the plan is to extend previous two-channelcalculations to include excitation to the n=2 states of hydrogen. The objective of thisinvestigation is to provide insight into the dynamics of three charged particles which isbasic to the understanding of the dynamics of atomic collisions.The HHCM is well suited for the study of collisions involving three charged particles ofarbitrary mass. An important feature that the HHCM method shares with the hypersphericalmethod is that it treats excitation and the rearrangement process on equal footing.This is important for positronium formation in positron-atom collisions.