Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-06-14
Phys Rev A 82 (2010) 043633
Physics
Condensed Matter
Quantum Gases
Scientific paper
10.1103/PhysRevA.82.043633
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.
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