English

A general theoretical description of N-body recombination

Atomic Physics 2013-05-29 v4

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.

Keywords

Cite

@article{arxiv.0903.4145,
  title  = {A general theoretical description of N-body recombination},
  author = {N. P. Mehta and Seth T. Rittenhouse and J. P. D'Incao and J. von Stecher and Chris H. Greene},
  journal= {arXiv preprint arXiv:0903.4145},
  year   = {2013}
}

Comments

4 pages, 2 figures RevTeX