非零温度下具有大正散射长度的全同玻色子的三体简化
Three-Body Recombination of Identical Bosons with a Large Positive Scattering Length at Nonzero Temperature
摘要：
对于具有大散射长度的全同玻色子，三体复合率对碰撞能量的依赖关系在零程极限由单个标度变量的泛函数决定.角动量为零时有六个标度函数，每个高分波有一个标度函数。我们通过求解Skorniakov-Ter-Martirosian方程来计算这些通用函数。三体复合随碰撞能量的变化与以前求解4 He原子三体薛定谔方程的结果一致。通用标度函数可用于计算非零温度下的三体复合率。我们得到了一个很好的拟合的数据从因斯布鲁克组的133 Cs原子具有较大的正散射长度。
英文摘要：
For identical bosons with a large scattering length, the dependence of the 3-body recombination rate on the collision energy is determined in the zero-range limit by universal functions of a single scaling variable. There are six scaling functions for angular momentum zero and one scaling function for each higher partial wave. We calculate these universal functions by solving the Skorniakov--Ter-Martirosian equation. The results for the 3-body recombination as a function of the collision energy are in good agreement with previous results from solving the 3-body Schroedinger equation for 4He atoms. The universal scaling functions can be used to calculate the 3-body recombination rate at nonzero temperature. We obtain an excellent fit to the data from the Innsbruck group for 133Cs atoms with a large positive scattering length.
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