Relating Binding Energy and Scattering Length of Weakly Bound Dimers of Strontium,Annalen Der Physik

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Relating Binding Energy and Scattering Length of Weakly Bound Dimers of Strontium
Annalen Der Physik ( IF 2.2 ) Pub Date : 2021-03-17 , DOI: 10.1002/andp.202000588
Lucie D. Augustovičová ₁ , Vladimír Špirko _{1,

2}

Affiliation

The s‐wave scattering length (a) is an important parameter in ultracold collisions and precision tests of fundamental physics, yet its accurate calculation remains a challenge. Solving suitable vibrational Schrödinger equations with scaled interaction potentials and reduced masses, the relationship between the binding energy (D₀) of the highest vibrational state and the s‐wave scattering length is derived for a set of ground state Sr₂ isotopomers. The resulting “a versus D₀” relations are robust even if approximate potentials are used, thus enabling reliable scattering lengths to be determined directly from experimental binding energies. The presented approach will have broad applicability, notably when an accurate potential is unavailable and when the literature (semiclassical) counterparts of the probed “a versus D₀” relations become inadequate.

中文翻译：

锶弱束缚二聚体的结合能和散射长度

所述š -wave散射长度（一）是在超冷碰撞和基础物理学的精度测试的重要参数，但其准确的计算仍然是一个挑战。求解具有成比例的相互作用势和减小的质量的合适的振动Schrödinger方程，对于一组基态Sr ₂同位素异构体，得出了最高振动态的结合能（D ₀）与s波散射长度之间的关系。结果“ a 与 D ₀即使使用近似电势，该关系也是稳健的，因此可以直接从实验结合能确定可靠的散射长度。所提出的方法将具有广泛的适用性，尤其是当没有准确的电位可用时，以及当所探究的“ a 对 D ₀ ”关系的文献（半经典）对应物不足时。

更新日期：2021-04-08

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