Crossover in the Efimov spectrum

Ludovic Pricoupenko (1)

1 LPTMC - Laboratoire de Physique Théorique de la Matière Condensée

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.

Mots clés: Efimov state; Unitary limit; Skorniakov Ter-Martirosian equation

Domaines: Gaz Quantiques [cond-mat.quant-gas]; Physique Quantique [quant-ph]

Ludovic Pricoupenko. Crossover in the Efimov spectrum. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2010, 82, pp.043633. ⟨10.1103/PhysRevA.82.043633⟩. ⟨hal-00491563v3⟩