On the Efimov effect in higher partial waves

@article{Helfrich2011OnTE,
  title={On the Efimov effect in higher partial waves},
  author={K. Helfrich and Hans-Werner Hammer},
  journal={Journal of Physics B: Atomic, Molecular and Optical Physics},
  year={2011},
  volume={44},
  pages={215301}
}
  • K. Helfrich, H. Hammer
  • Published 5 July 2011
  • Physics
  • Journal of Physics B: Atomic, Molecular and Optical Physics
Using the framework of effective field theory, we present a detailed study of the Efimov effect in higher partial waves for systems of two identical particles and a third distinguishable particle. Depending on the total angular momentum L, the two identical particles must be bosons or fermions. We derive analytical expressions for the elastic and inelastic atom–dimer scattering cross sections as well as the atom–dimer relaxation rate at the dimer breakup threshold. For the experimentally most… 

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References

SHOWING 1-10 OF 65 REFERENCES

Three-body problem in heteronuclear mixtures with resonant interspecies interaction

We use the zero-range approximation to study a system of two identical bosons interacting resonantly with a third particle. The method is derived from effective field theory. It reduces the

Dimer-atom scattering between two identical fermions and a third particle

We use the diagrammatic T-matrix approach to analyze the three-body scattering problem between two identical fermions and a third particle (which could be a different species of fermion or a boson).

Renormalization of the Three-Body System with Short-Range Interactions

We discuss renormalization of the nonrelativistic three-body problem with short-range forces. The problem becomes nonperturbative at momenta of the order of the inverse of the two-body scattering

Resonant atom-dimer relaxation in ultracold atoms

Three-body systems with large scattering length display universal phenomena associated with a discrete scaling symmetry. These phenomena include resonant enhancement of three-body loss rates when an

Atom-dimer scattering and long-lived trimers in fermionic mixtures.

TLDR
It is found that there is a peculiar atom-dimer p-wave resonance which can be tuned by changing the frequency of the confinement, and this mechanism allows for switching the p- wave interaction between a K atom and Li-K dimer from attractive to repulsive, and forming a weakly bound trimer with unit angular momentum.

Three-body problem in Fermi gases with short-range interparticle interaction

We discuss three-body processes in ultracold two-component Fermi gases with short-range intercomponent interaction characterized by a large and positive scattering length a. It is found that in most

Enhanced dimer relaxation in an atomic and molecular Bose-Einstein condensate

We derive a universal formula for the rate constant {beta} for relaxation of a shallow dimer into deeply-bound diatomic molecules in the case of atoms with a large scattering length a. We show that

Low-energy three-body dynamics in binary quantum gases

The universal three-body dynamics in ultra-cold binary Fermi and Fermi–Bose mixtures is studied. Two identical fermions of mass m and a particle of mass m1 with the zero-range two-body interaction in
...