Formulas 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 semianalytical formula encapsulates the overall scaling with energy and scattering length, as well as resonant modifications by the presence of 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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American Physical Society
Mehta, N.P., Rittenhouse, S.T., D'Incao, J.P., von Stecher, J., & Greene, C.H. (2009). General theoretical description of N-body recombination. Physical Review Letters, 103(15), 153201. doi: 10.1103/PhysRevLett.103.153201
Physical Review Letters