Beyond universality: parametrizing ultracold complex-mediated reactions using statistical assumptions

Abstract

We have calculated accurate quantum reactive and elastic cross-sections for the prototypical barrierless reaction D${}^{+}$ + H${}_2$($v$=0, $j$=0) using the hyperspherical scattering method. The considered kinetic energy ranges from the ultracold to the Langevin regimes. The availability of accurate results for this system allows to test the quantum theory by Jachymski et al. [Phys. Rev. Lett. 110, 213202 (2013)] in a nonuniversal case. The short range reaction probability is rationalized using statistical model assumptions and related to a statistical factor. This provides a means to estimate one of the parameters that characterizes ultracold processes from first principles. Possible limitations of the statistical model are considered.

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Cited by in corpus (7)

• Cold hybrid ion-atom systems
• Stereodynamic control of cold rotationally inelastic CO + HD collisions
• The low temperature D${}^{+}$ + H${}_2$ $\to$ HD + H${}^{+}$ reaction rate coefficient: a ring polymer molecular dynamics and quasi-classical trajectory study
• Unveiling shape resonances in H + HF collisions at cold energies
• Vibrational quenching of cold molecular ions immersed in their parent gas
• Universal behavior in complex-mediated reactions: Dynamics of S(1D)+ o-D2 --> D + SD at low collision energies
• Product-state distribution after isotopic substitution in ultracold atom-molecule collisions