Three-body recombination in cold atomic collisions has been successfully modeled using the hyperspherical close-coupling theory. This representation maps many-body fragmentation channels onto simple radial equations similar to those for two-body processes. Computation of hyperspherical adiabatic energy eigenvalues is a major task using this theory. We have developed asymptotic representations of the adiabatic eigenvalues based upon energy dependent zero-range potentials. Our asymptotic expressions are compared with ab initio calculations as well as hyperspherical adiabatic calculations using zero range potentials with constant M that have appeared in the literature.
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机译：使用超球的紧密耦合理论成功建模了冷原子碰撞中的三体重组。该表示将多个身体碎片通道映射到类似于双体过程的简单径向方程。高度球形绝热能量特征值是使用该理论的主要任务。我们基于能量相关的零范围潜力开发了绝热特征值的渐近表示。将我们的渐近表达与AB Initio Calculation的比较以及使用零范围电位的超球形绝热计算，其在文献中出现的常数M。
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