Three-Body Recombination of Identical Bosons with a Large Positive Scattering Length at Nonzero Temperature

Abstract

For identical bosons with a large scattering length, the dependence of the 3-body recombination rate on the collision energy is determined in the zero-range limit by universal functions of a single scaling variable. There are six scaling functions for angular momentum zero and one scaling function for each higher partial wave. We calculate these universal functions by solving the Skorniakov--Ter-Martirosian equation. The results for the 3-body recombination as a function of the collision energy are in good agreement with previous results from solving the 3-body Schroedinger equation for 4He atoms. The universal scaling functions can be used to calculate the 3-body recombination rate at nonzero temperature. We obtain an excellent fit to the data from the Innsbruck group for 133Cs atoms with a large positive scattering length.

34 pages, 10 figures, published version

References in corpus (8)

• Efimov Physics in Cold Atoms
• Limits on Universality in Ultracold Three-Boson Recombination
• Excited Thomas-Efimov levels in ultracold gases
• The Three-Boson System at Next-To-Next-To-Leading Order
• Resonant Dimer Relaxation in Cold Atoms with a Large Scattering Length
• Effective Range Corrections to Three-Body Recombination for Atoms with Large Scattering Length
• New Calculations of Recombination Rates for Cold ${}^4$He Atoms and Determination of Universal Scaling Functions
• Universality Constraints on Three-Body Recombination for Cold Atoms: from 4He to 133Cs

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• Efimov Physics in Atom-Dimer Scattering of Lithium-6 Atoms
• Efficient three-body calculations with a two-body mapped grid method
• Stabilization against collapse of 2D attractive Bose-Einstein condensates with repulsive, three-body interactions
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• Exact Thermodynamics For Weakly Interacting Normal-Phase Quantum Gases: Equations of State For All Partial Waves
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• Finite-range bias in fitting three-body loss to the zero-range model