Theoretical Investigation of Ultracold Few-Body Collisions

近年来，关于三个中性原子在超低温下碰撞问题的理论研究取得了重大进展。对于相同的玻色子和相同的费米子的许多组合，已知相关的弹性和非弹性速率系数与能量、质量和散射长度的关系。然而，重要的是，费什巴赫共振附近的速率行为并不为大多数这些系统所知，费什巴赫共振现在几乎用于所有涉及超冷原子的实验。此外，三体碰撞只会在实验中变得越来越重要。这个项目将解决许多超冷少体碰撞的一般理论问题，以及它们在费什巴赫共振附近的行为。

Significant theoretical progress has been made in recent years on the problem of three neutral atoms colliding at ultracold temperatures. The dependence of the associated elastic and inelastic rate coefficients on energy, mass, and scattering length is known for many combinations of identical bosons and identical fermions. Importantly, though, the behavior of the rates near Feshbach resonances, which are now used in nearly every experiment involving ultracold atoms, is not known for the majority of these systems. Moreover, three-body collisions are only growing in importance experimentally. This project will address many general theoretical issues of ultracold few-body collisions, and their behavior near a Feshbach resonance.