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

Autor: Shinsuke Haze, José P. D'Incao, Dominik Dorer, Jinglun Li, Markus Deiß, Eberhard Tiemann, Paul S. Julienne, Johannes Hecker Denschlag
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Physical Review Research, Vol 5, Iss 1, p 013161 (2023)
Druh dokumentu: article
ISSN: 2643-1564
DOI: 10.1103/PhysRevResearch.5.013161
Popis: 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×h. We find that the formation rate approximately scales as E_{b}^{−α}, where α 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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