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A generalized Uhlenbeck and Beth formula for the third cluster coefficient

Sigurd Yves Larsen, Monique Lassaut, Alejandro Amaya-Tapia

arXiv:1606.06393Annals of PhysicsSep 2, 20161 citation

Efimov States in Li–Cs Mixtures within a Minimal Model

Nikolaj Thomas Zinner, Nicolai Gayle Nygaard

arXiv:1403.0759Few-Body SystemsFeb 12, 20154 citations

Third Cluster Coefficient for Square Well Discs

Sigurd Yves Larsen, John E. Kilpatrick

Lecture notes in physicsJan 1, 19784 citations

Unitary boson-boson and boson-fermion mixtures: third virial coefficient and three-body parameter on a narrow Feshbach resonance

Shimpei Endo, Yvan Castin

We give exact integral expressions of the third cluster or virial coefficients of binary mixtures of ideal Bose or Fermi gases, with interspecies interactions of zero range and infinite s-wave scattering length. In general the result depends on three-body parameters Rt appearing in three-body contact conditions, because an Efimov effect is present or because the mixture is in a preefimovian regime with a mass ratio close to an Efimov effect threshold. We give a new, exact integral expression of Rt for the microscopic narrow Feshbach resonance model. A divergence of Rt in the preefimovian regime at a scaling exponent s = 1/2 is predicted and physically discussed. The analytical results are applied to typical species used in cold atom experiments.We give exact integral expressions of the third cluster or virial coefficients of binary mixtures of ideal Bose or Fermi gases, with interspecies interactions of zero range and infinite s-wave scattering length. In general the result depends on three-body parameters Rt appearing in three-body contact conditions, because an Efimov effect is present or because the mixture is in a preefimovian regime with a mass ratio close to an Efimov effect threshold. We give a new, exact integral expression of Rt for the microscopic narrow Feshbach resonance model. A divergence of Rt in the preefimovian regime at a scaling exponent s = 1/2 is predicted and physically discussed. The analytical results are applied to typical species used in cold atom experiments.

arXiv:1608.00403Aug 1, 20165 citations

On Efimov's effect: A new pathology of three-particle systems

R. D. Amado, Julian V. Noble

Physics Letters BApr 1, 1971113 citations

The third virial coefficient of a two-component unitary Fermi gas across an Efimov-effect threshold

Chao Gao, Shimpei Endo, Yvan Castin

We consider a mixture of two single-spin-state fermions with an interaction of negligible range and infinite s-wave scattering length.By varying the mass ratio α across αc 13.6069 one can switch on and off the Efimov effect.We determine analytically the third cluster coefficient of the gas.We show that it is a smooth function of α across αc since, unexpectedly, the three-body parameter characterizing the interaction is relevant even on the non-Efimovian side α < αc.

arXiv:1412.1974Europhysics Letters (EPL)Jan 1, 201523 citations

Efimov effect and the third cluster coefficient of binary mixtures

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Efimov effect and the third cluster coefficient of binary mixtures

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