Quantum theory of reactive collisions for 1/r^n potentials

Abstract

We develop a general quantum theory for reactive collisions involving power-law potentials (-1/r^n) valid from the ultracold up to the high-temperature limit. Our quantum defect framework extends the conventional capture models to include the non-universal case when the short-range reaction probability P^{re} < 1. We present explicit analytical formulas as well as numerical studies for the van der Waals (n = 6) and polarization (n = 4) potentials, and relate our work to recent merged beam experiments on Penning ionization for collision energies below 0.1 meV [Henson et al, Science 338, 234(2012)].

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• Controlling chemical reactions of a single particle
• Quantum theory of ultracold atom-ion collisions
• Feshbach resonances in ultracold atomic and molecular collisions: threshold behaviour and suppression of poles in scattering lengths
• Inelastic collisions of ultra-cold heteronuclear molecules in an optical trap
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Cited by in corpus (36)

• Cold hybrid ion-atom systems
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• An ionic impurity in a Bose-Einstein condensate at sub-microkelvin temperatures
• Precision Test of the Limits to Universality in Few-Body Physics
• Observation of orbiting resonances in He(3S1) + NH3 Penning ionization
• Statistical product distributions for ultracold reactions in external fields
• Energetics and control of ultracold isotope-exchange reactions between heteronuclear dimers in external fields
• Cold atomic and molecular collisions: approaching the universal loss regime
• Quantum defect model of a reactive collision at finite temperature
• First-principle interaction potentials for metastable He(${}^3$S) and Ne(${}^3$P) with closed-shell molecules. Application to Penning-Ionizing systems
• Molecular Collisions: from Near-cold to Ultra-cold
• Collisional losses of ultracold molecules due to intermediate complex formation
• Inelastic collisions of ultracold triplet Rb${}_{\text{2}}$ molecules in the rovibrational ground state
• Reactive collisions in confined geometries
• Polar molecule reactive collisions in quasi-1D systems
• Two interacting ultracold molecules in a one-dimensional harmonic trap
• Adiabatic Channel Capture Theory Applied to Cold Atom-Molecule Reactions: Li + CaH -> LiH + Ca at 1 K
• Importance of rotationally inelastic processes in low-energy Penning ionization of CHF${}_3$
• Few-body physics of ultracold atoms and molecules with long-range interactions
• Quantum-State Controlled Penning Ionization Reactions between Ultracold Alkali and Metastable Helium Atoms
• Beyond universality: parametrizing ultracold complex-mediated reactions using statistical assumptions
• Asymptotic model for shape resonance control of diatomics by intense non-resonant light: Universality in the single-channel approximation
• Multichannel Scattering and Loss Processes of Ultracold Atoms in Anisotropic Harmonic Waveguides
• Universal behavior in complex-mediated reactions: Dynamics of S(1D)+ o-D2 --> D + SD at low collision energies
• Exploring atom-ion Feshbach resonances below the s-wave limit
• Two-body loss rates for reactive collisions of cold atoms
• Reactive collisions of two ultracold particles in a harmonic trap
• Ultracold collisions of molecules
• Limitations of coupled cluster approximations for highlyaccurate investigations of Rb${}_2^{+}$
• Bound states of an ultracold atom interacting with a set of stationary impurities
• Low-energy scattering of ultracold atoms by a dielectric nanosphere
• High-accuracy Rb${}_2^{+}$ interaction potentials based on coupled cluster calculations
• Singularities of Floquet Scattering and Tunneling
• Quantum reactive scattering in the long-range ion-dipole potential