New Calculations of Recombination Rates for Cold ${}^4$He Atoms and Determination of Universal Scaling Functions

Abstract

Three-body recombination rates for cold ${}^4$He are calculated with a new method which exploits the simple relationship between the imaginary part of the atom-dimer elastic scattering phase shift and the $S$-matrix for recombination. The elastic phase shifts are computed above breakup threshold by solving a three-body Faddeev equation in momentum space with inputs based on a variety of modern atom-atom potentials. Recombination coefficients for the HFD-B3-FCII potential agree very well with the only previously published results. Since the elastic scattering and recombination processes for ${}^4$He are governed by "Efimov physics", they depend on universal functions of a scaling variable. The newly computed recombination coefficients for potentials other than HFD-B3-FCII make it possible to determine these universal functions for the first time.

arXiv comment15 pages, 5 figures

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Cited by in corpus (10)

• Universal few-body physics and cluster formation
• Adiabatic hyperspherical study of triatomic helium systems
• Comparison of classical and quantal calculations of helium three-body recombination
• Three-Body Recombination of Identical Bosons with a Large Positive Scattering Length at Nonzero Temperature
• The Hyperspherical Four-Fermion Problem
• The ^4He trimer as an Efimov system
• Momentum-space calculation of ${}^4$He triatomic system with realistic potential
• Van der Waals universality in homonuclear atom-dimer elastic collisions
• Scaling functions applied to three-body recombination of Cesium-133 atoms
• Universality in Few-Body Systems