Dimer-atom scattering between two identical fermions and a third particle
arXiv:1003.0106 · doi:10.1103/PhysRevA.81.043634
Abstract
We use the diagrammatic -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). We calculate the s-wave dimer-atom scattering length for all mass ratios, and our results exactly match the results of Petrov. In particular, we list the exact dimer-atom scattering lengths for all available two-species Fermi-Fermi and Bose-Fermi mixtures. In addition, unlike that of the equal-mass particles case where the three-body scattering -matrix decays monotonically as a function of the outgoing momentum, we show that, after an initial rapid drop, this function changes sign and becomes negative at large momenta and then decays slowly to zero when the mass ratio of the fermions to the third particle is higher than a critical value (around 6.5). As the mass ratio gets higher, modulations of the -matrix become more apparent with multiple sign changes, related to the "fall of a particle to the center" phenomenon and to the emergence of three-body Efimov bound states.
6 pages, 3 figures, and 2 tables
References in corpus (16)
- Degenerate Fermi Gases of Ytterbium
- Exploring an ultracold Fermi-Fermi mixture: Interspecies Feshbach resonances and scattering properties of 6Li and 40K
- Quantum degenerate two-species Fermi-Fermi mixture coexisting with a Bose-Einstein condensate
- Ultracold Heteronuclear Fermi-Fermi Molecules
- Tuning of heteronuclear interactions in a quantum-degenerate Fermi-Bose mixture
- Collisional stability of fermionic Feshbach molecules
- Two-species fermion mixtures with population imbalance
- Control of the interaction in a Fermi-Bose mixture
- Low-energy three-body dynamics in binary quantum gases
- Realization of a strongly interacting Bose-Fermi mixture from a two-component Fermi gas
- Broad Feshbach resonance in the 6Li-40K mixture
- Collisional Stability of 40K Immersed in a Strongly Interacting Fermi Gas of 6Li
- Diatomic molecules in ultracold Fermi gases - Novel composite bosons
- Atom-dimer scattering and long-lived trimers in fermionic mixtures
- Mixtures of ultracold fermions with unequal masses
- Fermi-Fermi Mixtures in the Strong Attraction Limit
Cited by in corpus (13)
- Universal physics of 2+1 particles with non-zero angular momentum
- On the Efimov Effect in Higher Partial Waves
- Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
- Scattering of universal fermionic clusters in the resonating group method
- Atom-dimer scattering length for fermions with different masses: analytical study of limiting cases
- QCD-like phase diagram with Efimov trimers and Cooper pairs in resonantly interacting SU(3) Fermi gases
- Bose-Fermi mixtures in the molecular limit
- Atom-dimer scattering in heteronuclear mixture with finite intra-species scattering length
- Atom-dimer scattering amplitude for fermionic mixtures with different masses: s-wave and p-wave contributions
- Effects of three-body scattering processes on BCS-BEC crossover
- Three-Boson Bound States in Two Dimensions
- Atom-dimer and dimer-dimer scatterings in a spin-orbit coupled Fermi gas
- Coboson many-body formalism for atom-dimer scattering length