Efimov Trimers near the Zero-crossing of a Feshbach Resonance

Details Efimov Trimers near the Zero-crossing of a Feshbach Resonance Efimov Trimers near the Zero-crossing of a Feshbach Resonance

2011-12-29

arxiv.org/abs/1112.6358v1

Physics

Condensed Matter

Quantum Gases

8 pages, no figures. Submitted to Few-body Systems special issue on Critical Stability

Scientific paper

Near a Feshbach resonance, the two-body scattering length can assume any value. When it approaches zero, the next-order term given by the effective range is known to diverge. We consider the question of whether this divergence (and the vanishing of the scattering length) is accompanied by an anomalous solution of the three-boson Schr\"odinger equation similar to the one found at infinite scattering length by Efimov. Within a simple zero-range model, we find no such solutions, and conclude that higher-order terms do not support Efimov physics.

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