English

On the Efimov Effect in Higher Partial Waves

Quantum Gases 2015-05-28 v2 Nuclear Theory

Abstract

Using the framework of effective field theory, we present a detailed study of the Efimov effect in higher partial waves for systems of two identical particles and a third distinguishable particle. Depending on the total angular momentum LL, the two identical particles must be bosons or fermions. We derive analytical expressions for the elastic and inelastic atom-dimer scattering cross sections as well as the atom-dimer relaxation rate at the dimer breakup threshold. For the experimentally most relevant case of P-waves, we numerically calculate the atom-dimer scattering cross sections and relaxation rates as a function of the scattering length, three-body parameter, and mass ratio for energies away from the breakup threshold.

Keywords

Cite

@article{arxiv.1107.0869,
  title  = {On the Efimov Effect in Higher Partial Waves},
  author = {K. Helfrich and H. -W. Hammer},
  journal= {arXiv preprint arXiv:1107.0869},
  year   = {2015}
}

Comments

16 pages, 8 figures, revised version

R2 v1 2026-06-21T18:32:19.465Z