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.
Required Publisher Statement
© 2009 The American Physical Society
Document Object Identifier (DOI)
Mehta, N., Seth Rittenhouse, J. D’Incao, J. von Stecher, and Chris Greene. 2009. “General Theoretical Description of N-Body Recombination.” Physical Review Letters 103 (15): 153201. doi:10.1103/PhysRevLett.103.153201.
Physical Review Letters