Quantum defect model of a reactive collision at finite temperature

Abstract

We consider a general problem of inelastic collision of particles interacting with power-law potentials. Using quantum defect theory we derive an analytical formula for the energy-dependent complex scattering length, valid for arbitrary collision energy, and use it to analyze the elastic and reactive collision rates. Our theory is applicable for both universal and non-universal collisions. The former corresponds to the unit reaction probability at short range, while in the latter case the reaction probability is smaller than one. In the high-energy limit we present a method that allows to incorporate quantum corrections to the classical reaction rate due to the shape resonances and the quantum tunneling.

followup to arXiv:1301.5857

References in corpus (13)

• Observation of Quantum Effects in sub Kelvin Cold Reactions
• Reactions of ultracold alkali metal dimers
• Coherent optical transfer of Feshbach molecules to a lower vibrational state
• 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
• Feshbach resonances, weakly bound molecular states and coupled-channel potentials for cesium at high magnetic fields
• Strong dependence of ultracold chemical rates on electric dipole moments
• Dynamics of gas phase Ne${}^{\ast }$ + NH${}_3$ and Ne${}^{\ast }$ + ND${}_3$ Penning ionization at low temperatures
• Universal model for exoergic bimolecular reactions and inelastic processes
• Quantum Langevin model for exoergic ion-molecule reactions and inelastic processes
• Study of the Ne(^3P_2) + CH_3F Electron Transfer Reaction below 1 Kelvin
• Multichannel quantum defect theory for ro-vibrational transitions in ultracold molecule-molecule collisions

Cited by in corpus (6)

• Unified model of ultracold molecular collisions
• Beyond universality: parametrizing ultracold complex-mediated reactions using statistical assumptions
• Quantum-State Controlled Penning Ionization Reactions between Ultracold Alkali and Metastable Helium Atoms
• Asymptotic model for shape resonance control of diatomics by intense non-resonant light: Universality in the single-channel approximation
• Universal behavior in complex-mediated reactions: Dynamics of S(1D)+ o-D2 --> D + SD at low collision energies
• Limitations of coupled cluster approximations for highlyaccurate investigations of Rb${}_2^{+}$