Quantum Langevin model for exoergic ion-molecule reactions and inelastic processes

Abstract

We presents a fully quantal version of the Langevin model for the total rate of exoergic ion-molecule reactions or inelastic processes. The model, which is derived from a rigorous multichannel quantum-defect formulation of bimolecular processes, agrees with the classical Langevin model at sufficiently high temperatures. It also gives the first analytic description of ion-molecule reactions and inelastic processes in the ultracold regime where the quantum nature of the relative motion between the reactants becomes important.

5 pages, 3 figures

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• Cold hybrid ion-atom systems
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• New method to study ion-molecule reactions at low temperatures and application to the H${}_2^{+}$ + H${}_2$ $\to$ H${}_3^{+}$ + H reaction
• Light-Assisted Cold Chemical Reactions of Barium Ions with Rubidium Atoms
• Observation of enhanced rate coefficients in the H${}_2^{+}$ + H${}_2$ $\to$ H${}_3^{+}$ + H reaction at low collision energies
• Universalities in ultracold reactions of alkali polar molecules
• Quantum theory of reactive collisions for 1/r^n potentials
• Formation of molecular ions by radiative association of cold trapped atoms and ions
• Description of ion motion in a Paul trap immersed in a cold atomic gas
• Quantum-defect theory for $-1/r^4$ type of interactions
• Analytical model of overlapping Feshbach resonances
• Statistical product distributions for ultracold reactions in external fields
• Spin-orbit interactions and quantum spin dynamics in cold ion-atom collisions
• Three-body recombination near a narrow Feshbach resonance in ${}^6$Li
• Quantum defect model of a reactive collision at finite temperature
• Production of NaCa${}^{+}$ molecular ions in the ground state from cold atom-ion mixtures by photoassociation via an intermediate state
• Quantum-defect theory of resonant charge exchange
• Excitation-assisted nonadiabatic charge-transfer reaction in a mixed atom-ion system
• Beyond universality: parametrizing ultracold complex-mediated reactions using statistical assumptions
• Exploring atom-ion Feshbach resonances below the s-wave limit
• Bound states of an ultracold atom interacting with a set of stationary impurities
• Multichannel quantum-defect theory for anisotropic interactions
• Quantum reactive scattering in the long-range ion-dipole potential