A model search for Efimov states

Abstract

A search for Efimov states is carried out in terms of a one-dimensional model three-body problem. A numerically exact solution is obtained that allows scanning through the resonance condition. No evidence is found for the existence of an infinite number of such bound three-body states. It is deduced from one-dimensional results that such an infinity of bound states should also not arise in a complete three-dimensional calculation.

Keywords:

• Efimov states
• Three-body problem
• Resonance condition
• Three-dimensional calculation