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Three-body recombination of identical bosons with a large positive scattering length at nonzero temperature

2008/01/31 by Eric Braaten, H.‐W. Hammer, H. -W. Hammer +2
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #cond-mat.other #hep-ph #nucl-th

paper · pdf · doi:10.1103/physreva.78.043605

published as Phys.Rev.A78:043605,2008 · 34 pages, 10 figures, published version

openalex publication_date 2008/10/08 · arxiv created 2008/11/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For identical bosons with a large scattering length, the dependence of the three-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 three-body recombination as a function of the collision energy are in good agreement with previous results from solving the three-body Schr"odinger equation for 4He atoms. The universal scaling functions can be used to calculate the three-body recombination rate at nonzero temperature. We obtain an excellent fit to the data from Grimm and co-workers for 133Cs atoms with a large positive scattering length.

Citations