Abstract
A simple quantum-defect model gives analytic expressions for the complex scattering length and threshold collision rates of ultracold molecules. If the probability of reaction in the short-range part of the collision is high, the model gives universal rate constants for s- and p-wave collisions that are independent of short-range dynamics. This model explains the magnitudes of the recently measured rate constants for collisions of two ultracold K40Rb87 molecules, or an ultracold K40 atom with the K40Rb87 molecule [S. Ospelkaus et al., Science 327, 853 (2010)].

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