Three-Body Recombination of Cold Atoms

Hiroya Suno, Brett D. Esry
Department of Physics, Kansas State University

Chris H. Greene
Department of Physics,JILA and University of Colorado

James P. Burke, Jr.
NIST, Gaithersburg

In the present work, we shall study three-body recombination of cold helium atoms: 4He +4He +4He - 4He2 +4He. This study extends previous work1 where ultra-cold alkali atoms were treated. An extra difficulty comes from the fact that not only zero total angular momentum J = 0 states, but also J > 0 states should be taken into account because of their higher binding energy. We will use a modified version of Smith- Whitten hyperspherical coordinates2. Using these coordinates, one can easily introduce the symmetrization effects for three identical bosons, so that the configuration space can be reduced by a factor of 3. Coupled equations in an adiabatic hyperspherical representation are then solved using the variational R-matrix method. The interaction used is a sum of helium dimer potentials from A.R. Janzen and R.A. Aziz3. Our goal is to calculate the "event rate constant" K3 = (hbar κ/μ) σ, or the "recombination length" ρ3 = (μ K3/hbar)1/4, where σ is the cross section for three-body recombination, μ is the three-body reduced mass.


1) B.D. Esry et al., Phys. Rev. Lett., 83-1751 (1999)
2) B.K. Kendrick et al., J. Chem. Phys., 110;6673 (1999)
3) A.R. Janzen and R.A. Aziz, J. Chem. Phys., 103;9626 (1995)

This work was supported by the Chemical Sciences, Geosciences and Biosciences Division,
Office of Basic Energy Sciences, Office of Science, U.S. Department of Energy.

Submitted to DAMOP/DAMP, May 2001 in London, Ontario.

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