Range Corrections to Three-Body Observables near a Feshbach Resonance

Abstract

A non-relativistic system of three identical particles will display a rich set of universal features known as Efimov physics if the scattering length a is much larger than the range l of the underlying two-body interaction. An appropriate effective theory facilitates the derivation of both results in the |a| goes to infinity limit and finite-l/a corrections to observables of interest. Here we use such an effective-theory treatment to consider the impact of corrections linear in the two-body effective range, r_s on the three-boson bound-state spectrum and recombination rate for |a| much greater than |r_s|. We do this by first deriving results appropriate to the strict limit |a| goes to infinity in coordinate space. We then extend these results to finite a using once-subtracted momentum-space integral equations. We also discuss the implications of our results for experiments that probe three-body recombination in Bose-Einstein condensates near a Feshbach resonance.

28 pages, 3 figures

References in corpus (6)

• Three-boson problem near a narrow Feshbach resonance
• Three-Body Recombination of Identical Bosons with a Large Positive Scattering Length at Nonzero Temperature
• The Three-Boson System at Next-To-Next-To-Leading Order
• The Three-Nucleon System at Next-To-Next-To-Leading Order
• Pion-mass dependence of three-nucleon observables
• Effective Range Corrections to Three-Body Recombination for Atoms with Large Scattering Length

Cited by in corpus (16)

• Observation of an Efimov spectrum in an atomic system
• Observation of universality in ultracold 7Li three-body recombination
• Observation of an Efimov-like resonance in ultracold atom-dimer scattering
• Comparing and contrasting nuclei and cold atomic gases
• Resonant atom-dimer collisions in cesium: Testing universality at positive scattering lengths
• Crossover in the Efimov spectrum
• Universal three-body parameter in ultracold 4He*
• Universality of weakly bound dimers and Efimov trimers close to Li-Cs Feshbach resonances
• Universality in Efimov associated tetramers in 4He
• Three-nucleon bound states and the Wigner-SU(4) limit
• The three-body parameter for Efimov states in lithium-6
• Finite Range Effects in Energies and Recombination Rates of Three Identical Bosons
• Conditions for Efimov Physics for Finite Range Potentials
• Effective range from tetramer dissociation data for cesium atoms
• Les Houches Lectures on Effective Field Theories for Nuclear and (some) Atomic Physics
• Two- and three- dimensional few-body systems in the universal regime