Analytic expression for three-body recombination rates into deep dimers

Abstract

We investigate three-body recombination rates into deep dimers in cold atomic gases with large scattering length within hyper-spherical adiabatic zero-range approach. We derive closed analytic expressions for the rates for one- and two-species gases. Although the deep dimers are beyond the zero-range theory the latter can still describe the recombination into deep dimers by use of one additional short-range absorption parameter. The recombination rate, as function of the scattering length, retains the known universal behavior --- the fourth power trend with characteristic log-periodic peaks --- however increasing the short-range absorption broadens the peaks until they are eventually completely smeared out. Increasing the heavy-to-light mass ratio in a two-species system decreases the distance between the peaks and increases the overal scale of the recombination rate.

8 pages, 5 figures, Conference "Systems on the verge of the stability" (Critical Stability 2014)

References in corpus (4)

• Observation of Efimov Resonances in a Mixture with Extreme Mass Imbalance
• Efimov Physics in Cold Atoms
• Three-body recombination in heteronuclear mixtures at finite temperature
• Three-body recombination of two-component cold atomic gases into deep dimers in an optical model

Cited by in corpus (2)

• Experimentally accessible invariants encoded in interparticle correlations of harmonically trapped ultra-cold few-fermion mixtures
• Window for Efimov physics for few-body systems with finite-range interactions