Four-body Efimov effect

Yvan Castin (1) , Christophe Mora (2) , Ludovic Pricoupenko (3)

1 LKB (Lhomond) - Laboratoire Kastler Brossel
2 LPA - Laboratoire Pierre Aigrain
3 LPTMC - Laboratoire de Physique Théorique de la Matière Condensée

We study three same spin state fermions of mass M interacting with a distinguishable particle of mass m in the unitary limit where the interaction has a zero range and an infinite s-wave scattering length. We predict an interval of mass ratio 13.384 < M/m < 13.607 where there exists a purely four-body Efimov effect, leading to the occurrence of weakly bound tetramers without Efimov trimers.

Mots clés: four-body problem; few-body problem; Efimov effect; Feshbach resonance; tetramers

Domaines: Gaz Quantiques [cond-mat.quant-gas]

Yvan Castin, Christophe Mora, Ludovic Pricoupenko. Four-body Efimov effect. Physical Review Letters, 2010, 105, pp.223201. ⟨10.1103/PhysRevLett.105.223201⟩. ⟨hal-00494915⟩