预测超冷原子的散射性质：绝热累积相位法和质量标度
Predicting scattering properties of ultracold atoms: adiabatic accumulated phase method and mass scaling
摘要：
超冷原子越来越多地用于高精度实验，可以利用这些实验来提取精确的散射特性。这就要求更强烈地需要改进原子间势的准确性，特别是通常相当不准确的内部范围势。通过累积相位法可以方便地给出该内部范围的边界条件。然而，在这种方法中，人们应该满足两个条件，这是在原则上相互冲突的，这些近似的有效性受到压力时，需要更高的精度。我们表明，一个更好的折衷两者之间是可能的，允许绝热变化的超精细混合的单重态和三重态的原子间距离小于分离半径。详细描述了一种用于同位素相关原子对的联合分析中的累积相位参数的质量标度方法，并考虑到Born-Oppenheimer和WKB击穿，估计了其准确度。我们演示了如何单重态和三重态束缚态的数量遵循质量缩放。
英文摘要：
Ultracold atoms are increasingly used for high precision experiments that can be utilized to extract accurate scattering properties. This calls for a stronger need to improve on the accuracy of interatomic potentials, and in particular the usually rather inaccurate inner-range potentials. A boundary condition for this inner range can be conveniently given via the accumulated phase method. However, in this approach one should satisfy two conditions, which are in principle conflicting, and the validity of these approximations comes under stress when higher precision is required. We show that a better compromise between the two is possible by allowing for an adiabatic change of the hyperfine mixing of singlet and triplet states for interatomic distances smaller than the separation radius. A mass scaling approach to relate accumulated phase parameters in a combined analysis of isotopically related atom pairs is described in detail and its accuracy is estimated, taking into account both Born-Oppenheimer and WKB breakdown. We demonstrate how numbers of singlet and triplet bound states follow from the mass scaling.
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