Energy-scaling of the product state distribution for three-body recombination of ultracold atoms

• URL: http://arxiv.org/abs/2211.03834v2
• Date: Wed, 9 Nov 2022 10:28:23 GMT
• Title: Energy-scaling of the product state distribution for three-body recombination of ultracold atoms
• Authors: Shinsuke Haze, Jos\'e P. D'Incao, Dominik Dorer, Jinglun Li, Markus Dei\ss, Eberhard Tiemann, Paul S. Julienne, and Johannes Hecker Denschlag
• Abstract summary: We study the energy dependency for three-body recombination of ultracold Rb. We find that the formation rate approximately scales as $E_b-alpha$, where $alpha$ is in the vicinity of 1. In addition to numerical calculations we present a perturbative model which reveals the physical origin of the energy scaling of the formation rate.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Three-body recombination is a chemical reaction where the collision of three atoms leads to the formation of a diatomic molecule. In the ultracold regime it is expected that the production rate of a molecule generally decreases with its binding energy $E_b$, however, its precise dependence and the physics governing it have been left unclear so far. Here, we present a comprehensive experimental and theoretical study of the energy dependency for three-body recombination of ultracold Rb. For this, we determine production rates for molecules in a state-to-state resolved manner, with the binding energies $E_b$ ranging from 0.02 to 77 GHz$\times h$. We find that the formation rate approximately scales as $E_b^{-\alpha}$, where $\alpha$ is in the vicinity of 1. The formation rate typically varies only within a factor of two for different rotational angular momenta of the molecular product, apart from a possible centrifugal barrier suppression for low binding energies. In addition to numerical three-body calculations we present a perturbative model which reveals the physical origin of the energy scaling of the formation rate. Furthermore, we show that the scaling law potentially holds universally for a broad range of interaction potentials.

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