English

Crossover in the Efimov spectrum

Quantum Gases 2010-11-03 v3 Quantum Physics

Abstract

A filtering method is introduced for solving the zero-range three-boson problem. This scheme permits to solve the original Skorniakov Ter-Martirosian integral equation for an arbitrary large Ultra-Violet cut-off and to avoid the Thomas collapse of the three particles. The method is applied to a more general zero-range model including a finite background two-body scattering length and the effective range. A cross-over in the Efimov spectrum is found in such systems and a specific regime emerges where Efimov states are long-lived.

Keywords

Cite

@article{arxiv.1006.2646,
  title  = {Crossover in the Efimov spectrum},
  author = {Ludovic Pricoupenko},
  journal= {arXiv preprint arXiv:1006.2646},
  year   = {2010}
}
R2 v1 2026-06-21T15:35:45.724Z