A Simple Quantum Model of Ultracold Polar Molecule Collisions

Details A Simple Quantum Model of Ultracold Polar Molecule Collisions A Simple Quantum Model of Ultracold Polar Molecule Collisions

2010-07-15

arxiv.org/abs/1007.2652v1

Physics

Quantum Physics

Scientific paper

We present a unified formalism for describing chemical reaction rates of trapped, ultracold molecules. This formalism reduces the scattering to its essential features, namely, a propagation of the reactant molecules through a gauntlet of long-range forces before they ultimately encounter one another, followed by a probability for the reaction to occur once they do. In this way, the electric-field dependence should be readily parametrized in terms of a pair of fitting parameters (along with a $C_6$ coefficient) for each asymptotic value of partial wave quantum numbers $|L,M \rangle$. From this, the electric field dependence of the collision rates follows automatically. We present examples for reactive species such as KRb, and non-reactive species, such as RbCs.

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