Effective Range Corrections to Three-Body Recombination for Atoms with Large Scattering Length

Abstract

Few-body systems with large scattering length a have universal properties that do not depend on the details of their interactions at short distances. The rate constant for three-body recombination of bosonic atoms of mass m into a shallow dimer scales as \hbar a^4/m times a log-periodic function of the scattering length. We calculate the leading and subleading corrections to the rate constant which are due to the effective range of the atoms and study the correlation between the rate constant and the atom-dimer scattering length. Our results are applied to 4He atoms as a test case.

6 pages, 2 figures, improved discussion, final version

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Cited by in corpus (18)

• Observation of an Efimov spectrum in an atomic system
• Observation of an Efimov-like resonance in ultracold atom-dimer scattering
• Efimov Resonances in Ultracold Quantum Gases
• Non-universal Efimov Atom-Dimer Resonances in a Three-Component Mixture of 6Li
• Few-body physics in resonantly interacting ultracold quantum gases
• Low-Energy Universality in Atomic and Nuclear Physics
• Range Corrections to Three-Body Observables near a Feshbach Resonance
• Three-Body Recombination of Identical Bosons with a Large Positive Scattering Length at Nonzero Temperature
• Resonant atom-dimer collisions in cesium: Testing universality at positive scattering lengths
• Ultracold three-body collisions near narrow Feshbach resonances
• Universal three-body parameter in ultracold 4He*
• Resonant Atom-Dimer Relaxation in Ultracold Atoms
• Magnetic-field dependent trap loss of ultracold metastable helium
• Effective range from tetramer dissociation data for cesium atoms
• Efimov Physics in Atom-Dimer Scattering of Lithium-6 Atoms
• Scaling functions applied to three-body recombination of Cesium-133 atoms
• Observation of an Efimov resonance in an ultracold mixture of atoms and weakly bound dimers
• Finite-range bias in fitting three-body loss to the zero-range model