我们计划理论与实验相结合研究超冷Rb85和Rb87原子之间的 Feshbach共振。现有Feshbach共振理论主要是基于数值计算，限制了人们深刻理解意义重大的共振点附近的行为。我们的研究是基于Toledo大学的高波教授利用多通道量子亏损理论（MODT）建立的超冷原子间的Feshbach共振的解析理论。我们的合作发现了Rb85和Rb87原子之间存在着诸多尚未被观察到的Feshbach共振，包括高角动量分波的共振和非常宽的共振。本申请的首个研究目标是通过实验观测到我们所预测的Feshbach共振峰，然后研究在这些共振点附近原子间的碰撞性质。目前我们的超冷铷原子实验平台已经实现了Rb87同位素的玻色-爱因斯坦凝聚，并已经具备完成本研究项目的所有实验技术手段。另外我们还拥有强大的理论支持伙伴，因此我们认为我们有能力完成本申请项目。

We plan to study the Feshbach resonances between ultracold Rb85 and Rb87 atoms. Current theoretical models used to explain Feshbach resonance are mostly based on numerical computations. This limits our ability to comprehend some important properties near the resonance. The proposed research is based on a multi-channel quantum defect theory developed by Prof. Bo Gao of Toledo University. Our collaboration found many yet-to-be-observed Feshbach resonances on the Rb85-Rb87 system, including higher partial-wave resonances and broad resonances. The first target of this proposal is to observe the Feshbach resonances (particularly the resonances of higher partial waves) predicted by our theoretical studies. After that, we would research on the collisional properties of the atoms near these resonances. Currently, we have realized Bose-Einstein condensates of Rb87 in our experiment and we have acquired all the technical capabilities to accomplish the proposed study. Besides, we also have very strong theoretical supports. Therefore we believe we would succeed in accomplishing the current proposal.