Universal model for exoergic bimolecular reactions and inelastic processes

Abstract

From a rigorous multichannel quantum-defect formulation of bimolecular processes, we derive a fully quantal and analytic model for the total rate of exoergic bimolecular reactions and/or inelastic processes that is applicable over a wide range of temperatures including the ultracold regime. The theory establishes a connection between the ultracold chemistry and the regular chemistry by showing that the same theory that gives the quantum threshold behavior agrees with the classical Gorin model at higher temperatures. In between, it predicts that the rates for identical bosonic molecules and distinguishable molecules would first decrease with temperature outside of the Wigner threshold region, before rising after a minimum is reached.

5 pages, 1 figure

References in corpus (12)

• Quantum-State Controlled Chemical Reactions of Ultracold KRb Molecules
• Dipolar collisions of polar molecules in the quantum regime
• Quantum Gas of Deeply Bound Ground State Molecules
• High-precision calculations of dispersion coefficients, static dipole polarizabilities, and atom-wall interaction constants for alkali-metal atoms
• Universal rate constants for reactive collisions of ultracold molecules
• Inelastic collisions of ultra-cold heteronuclear molecules in an optical trap
• Multichannel quantum-defect theory for slow atomic collisions
• Strong dependence of ultracold chemical rates on electric dipole moments
• Magnetically Controlled Exchange Process in an Ultracold Atom-Dimer Mixture
• Dispersion interactions and reactive collisions of ultracold polar molecules
• Analytic description of atomic interaction at ultracold temperatures: the case of a single channel
• Ultracold molecules from ultracold atoms: a case study with the KRb molecule

Cited by in corpus (44)

• Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
• Direct observation of bimolecular reactions of ultracold KRb molecules
• Collisions of ultracold ^{23}Na^{87}Rb molecules with controlled chemical reactivities
• Controlling the scattering length of ultracold dipolar molecules
• Laser cooled molecules
• Collisions of ultracold molecules in bright and dark optical dipole traps
• Control of reactive collisions by quantum interference
• Ion-neutral chemistry at ultralow energies: Dynamics of reactive collisions between laser-cooled Ca^+ ions and Rb atoms in an ion-atom hybrid trap
• Universalities in ultracold reactions of alkali polar molecules
• Adimensional theory of shielding in ultracold collisions of dipolar rotors
• Dynamically generating arbitrary spin-orbit couplings for neutral atoms
• Quantum theory of reactive collisions for 1/r^n potentials
• Dipolar Collisions of Ultracold Ground-state Bosonic Molecules
• Multichannel Quantum Defect Theory for cold molecular collisions
• Quantum Langevin model for exoergic ion-molecule reactions and inelastic processes
• Tuning bimolecular chemical reactions by electric fields
• Quantum-defect theory for $-1/r^4$ type of interactions
• Statistical product distributions for ultracold reactions in external fields
• Cold atomic and molecular collisions: approaching the universal loss regime
• Quantum spin state selectivity and magnetic tuning of ultracold chemical reactions of triplet alkali-metal dimers with alkali-metal atoms
• Three-body recombination near a narrow Feshbach resonance in ${}^6$Li
• Quantum defect model of a reactive collision at finite temperature
• Molecular Collisions: from Near-cold to Ultra-cold
• Quantum Defect Theory for Cold Chemistry with Product Quantum State Resolution
• Lifetime of Feshbach dimers in a Fermi-Fermi mixture of ${}^6$Li and ${}^{40}$K
• Quantum-defect theory of resonant charge exchange
• Deviation from Universality in Collisions of Ultracold ${}^6$Li${}_2$ Molecules
• Adiabatic Channel Capture Theory Applied to Cold Atom-Molecule Reactions: Li + CaH -> LiH + Ca at 1 K
• Magnetic tuning of ultracold barrierless chemical reactions
• Long-range interactions between ultracold atoms and molecules including atomic spin-orbit
• Resonant control of polar molecules in an optical lattice
• Classical approach to collision complexes in ultracold chemical reactions
• Multichannel quantum defect theory for ro-vibrational transitions in ultracold molecule-molecule collisions
• Few-body physics of ultracold atoms and molecules with long-range interactions
• Measurement of non-commuting spin components using spin-orbit interaction
• Characterization of the magnetic field through the three-body loss near a narrow Feshbach resonance
• Quantum-State Controlled Penning Ionization Reactions between Ultracold Alkali and Metastable Helium Atoms
• Multichannel Quantum Defect Theory for cold molecular collisions with a strongly anisotropic potential energy surface
• Establishing the Gauge Invariant Linear Response of Fermionic Superfluids with Pair Fluctuations: A Diagrammatic approach
• Ultracold collisions of molecules
• Multichannel quantum-defect theory for anisotropic interactions
• Optically trapped Feshbach molecules of fermionic ${}^{161}$Dy and ${}^{40}$K: Role of light-induced and collisional losses
• Strongly dipolar molecular Bose-Einstein condensates: From few- to many-body physics
• Universality and threshold laws for collision lifetimes at ultralow temperatures