三个全同粒子碰撞中的关联图
Correlation diagrams in collisions of three identical particles
摘要：
我们讨论了三个相同的粒子的碰撞，并推导出从初始状态到最终状态的粒子的散射选择规则。我们使用实验室坐标系、超球面坐标系或雅可比坐标系，这取决于哪一种坐标系最适合描述粒子的三种不同构型：（1）三个自由粒子，（2）准束缚三聚体，或（3）二聚体和自由粒子。我们总结了在碰撞过程中守恒的量子数以及适合于给定配置但在散射过程中可能改变的量子数。系统的总对称性取决于这些量子数。基于选择规则，我们构造了碰撞前后不同构型之间的关联图。特别是，我们描述了一个可能的重组系统成一个自由粒子和二聚体，它可以用来，例如，以确定可能的衰变产物准静态三体状态
英文摘要：
We discuss collision of three identical particles and derive scattering selection rules from initial to final states of the particles. We use either laboratory-frame, hyperspherical, or Jacobian coordinates depending on which one is best suited to describe three different configurations of the particles: (1) three free particles, (2) a quasi-bound trimer, or (3) a dimer and a free particle. We summarize quantum numbers conserved during the collision as well as quantum numbers that are appropriate for a given configuration but may change during the scattering process. The total symmetry of the system depends on these quantum numbers. Based on the selection rules, we construct correlation diagrams between different configurations before and after a collision. In particular, we describe a possible recombination of the system into one free particle and a dimer, which can be used, for example, to identify possible decay products of quasi-stationary three-body states
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