Abstract
We use an effective-field-theory framework to analyze the Efimov effect in heteronuclear three-body systems consisting of two species of atoms with a large interspecies scattering length. In the leading-order description of this theory, various three-body observables in heteronuclear mixtures can be universally parametrized by one three-body parameter. We present the next-to-leading corrections, which include the effects of the finite interspecies effective range and the finite intraspecies scattering length, to various three-body observables. We show that only one additional three-body parameter is required to render the theory predictive at this order. By including the effective range and intraspecies scattering length corrections, we derive a set of universal relations that connect the different Efimov features near the interspecies Feshbach resonance. Furthermore, we show that these relations can be interpreted in terms of the running of the three-body counterterms that naturally emerge from proper renormalization. Finally, we make predictions for recombination observables of a number of atomic systems that are of experimental interest.
| Original language | English |
|---|---|
| Article number | 032702 |
| Journal | Physical Review A |
| Volume | 94 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 6 2016 |
| Externally published | Yes |
Funding
L.P. thanks the Institute of Nuclear Physics at the TU Darmstadt for its hospitality during the completion of this work. This work was supported by the Office of Nuclear Physics, US Department of Energy under Contract No. DE-AC05-00OR22725, the National Science Foundation under Grant No. PHY-1516077, the Natural Sciences and Engineering Research Council (NSERC), and the National Research Council of Canada. L.P. thanks the ExtreMe Matter Institute EMMI at the GSI Helmholtz Centre for Heavy Ion Research for its support.