Abstract
We investigate universal behavior in elastic atom-dimer scattering below the dimer breakup threshold calculating the atom-dimer effective-range function . Using the He-He system as a reference, we solve the Schrödinger equation for a family of potentials having different values of the two-body scattering length and we compare our results to the universal zero-range form deduced by Efimov, , for selected values of the three-body parameter . Using the parametrization of the universal functions given in the literature, a good agreement with the universal formula is obtained after introducing a particular type of finite-range corrections. Furthermore, we show that the same parametrization describes a very different system: nucleon-deuteron scattering below the deuteron breakup threshold. Our analysis confirms the universal character of the process, and relates the pole energy in the effective-range function of nucleon-deuteron scattering to the three-body parameter .
- Received 14 December 2012
DOI:https://doi.org/10.1103/PhysRevA.87.052719
©2013 American Physical Society