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arXiv · 0903.4145

A general theoretical description of N-body recombination

N. P. Mehta·Seth T. Rittenhouse·J. P. D'Incao·J. von Stecher·Chris H. Greene
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Abstract

A formula for the cross section and event rate constant describing recombination of N particles are derived in terms of general S-matrix elements. Our result immediately yields the generalized Wigner threshold scaling for the recombination of N bosons. A semi-analytic formula encapsulates the overall scaling with energy and scattering length, as well as resonant modifications by the presence of borromean N-body states near the threshold collision energy in the entrance channel. We then apply our model to the case of four-boson recombination into an Efimov trimer and a free atom.

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N. P. Mehta, Seth T. Rittenhouse, J. P. D'Incao, J. von Stecher, Chris H. Greene. 2009-03-24. A general theoretical description of N-body recombination. https://doi.org/10.1103/physrevlett.103.153201

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